3.2 Applied Mechanics - Fakulta aplikovaných věd

Transkript

University of West Bohemia
Faculty of Applied Sciences
Doctoral Study
2013/2014
Pilsen
August 2013
Content
Content ................................................................................................................... 3
1
Introduction.................................................................................................... 4
2 Basic Information ........................................................................................... 5
3 Fields of Study ................................................................................................ 5
3.1 Applied Mathematics ............................................................................... 5
3.2 Applied Mechanics ................................................................................... 6
3.3 Computer Science and Engineering ......................................................... 7
3.4 Cybernetics ............................................................................................... 8
3.5 Geomatics ................................................................................................. 8
3.6 Plasma Physics and Physics of Thin Films .............................................. 9
4 Ph.D. Study Boards....................................................................................... 10
4.1 Applied Mathematics ............................................................................. 10
4.2 Applied Mechanics ................................................................................. 10
4.3 Computer Science and Engineering ....................................................... 10
4.4 Cybernetics .............................................................................................. 11
4.5 Geomatics ................................................................................................ 11
4.6 Plasma Physics and Physics of Thin Films ............................................. 11
5 Organization of Study ....................................................................................12
5.1 Applied Mathematics ..............................................................................12
5.2 Applied Mechanics ..................................................................................12
5.3 Computer Science and Engineering ........................................................13
5.4 Cybernetics .............................................................................................. 15
5.5 Geomatics ................................................................................................ 15
5.6 Plasma Physics and Physics of Thin Films .............................................16
6 List of Supervisors .........................................................................................16
6.1 Applied Mathematics ..............................................................................16
6.2 Applied Mechanics ................................................................................. 18
6.3 Computer Science and Engineering ........................................................19
6.4 Cybernetics ..............................................................................................21
6.5 Geomatics ............................................................................................... 22
6.6 Plasma Physics and Physics of Thin Films ............................................ 23
7 List of Courses .............................................................................................. 24
7.1 Department of Mathematics .................................................................. 24
7.2 Department of Mechanics ...................................................................... 29
7.3 Department of Computer Science and Engineering .............................. 37
7.4 Department of Cybernetics .................................................................... 42
7.5 Department of Physics ........................................................................... 46
8 Study Department and Dean´s Office .......................................................... 48
9 Information Sources ..................................................................................... 48
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1 Introduction
Doctoral study is one of the most important activities at the Faculty of
Applied Sciences (Faculty) of the University of West Bohemia (University). In
agreement with the Czech Higher Education Act, doctoral study programs at the
Faculty are focused on scientific research and independent creative activities.
Ph.D. students contribute significantly to the successful fulfillment of the
research objectives of both Faculty’s and University’s research centers. Ph.D.
students also participate in many national as well as international research
projects.
The purpose of this brochure is to provide brief information on doctoral
study programs and study fields, Ph.D. study boards, courses, study rules,
Dean´s Office, departmental and Faculty websites. A complete list of Ph.D.
supervisors together with their research interests is also included in this
brochure. Information should especially be helpful for doctoral study applicants
in choosing their respective Ph.D. topics, courses and supervisors. Information
concerning research areas and study fields within the Faculty will certainly be
useful for the academic staff, members of the Ph.D. study boards, supervisors
and the professional public.
It is my pleasure to invite all potential doctoral study applicants to join the
Faculty’s research community and to wish all those already enrolled in our
doctoral study programs a lot of success for their demanding study and for their
interesting as well as challenging research.
August 26, 2013
Doc. RNDr. Miroslav Lávička, Ph.D.
Vice-Dean for Research
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2 Basic Information
Doctoral studies at the Faculty are organized in two forms: full-time and
combined (combination of distance study and tutorials). The combined form is
intended for persons working full-time in an organization other than the
relevant Faculty. Doctoral studies in the full-time form take on average 4 years.
Max length of study is 7 years.
The doctoral study programs are offered in both Czech and English.
Information on the admission procedure, accommodation, tuition fees and
other relevant matters can be obtained from the University’s International
Office. For details concerning the course of the doctoral study please contact a
supervisor responsible for the respective Ph.D. topic you are interested in.
Additional information is also provided by secretariats of the relevant
departments.
3 Fields of Study
3.1
Applied Mathematics
official length of study: 4 years,
Doctoral study is a continuation of Master study programs guaranteed by the
Department of Mathematics. The doctoral study program is organized according
to the scientific orientation of the Department. Applicants for admission to the
Ph.D. program can also have a Master degree in mathematics or related study
fields awarded by another university. Doctoral research topics are from the
following areas:
 study of qualitative properties of nonlinear differential equations in onedimensional and multi-dimensional cases,
 formulation of nonlinear mathematical models on time scales and their
analysis,
 study of nonlinear eigenvalue problems, especially problems with
degenerate and singular operators,
 bifurcations of solutions of nonlinear systems,
 effective methods of algebraic geometry for applications in geometric
modeling; symbolic manipulations in computer-aided geometric design
and symbolic-numerical computations,
 optimization of the choice of models of random variables in lifetime
theory and regression analysis,
 study of properties of discrete structures (graphs, hypergraphs, matroids,
codes); investigation of their mutual relations (colourings,
homomorphisms) and the existence of special substructures (cycles,
paths, factors),
 study of graph operators, especially graph closures, and related methods
for the investigation of properties of graph structures,
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

numerical analysis of problems of multi-phase flow and contact problems
in biomechanics,
development of new computational conservative schemes for numerical
simulations in fluid mechanics.
3.2 Applied Mechanics
official length of study: 4 years
Doctoral study in the Department of Applied Mechanics is directly
connected to the Master study program “Applied Mechanics” offered by the
Faculty. Applicants interested in research and development in applied
mechanics, who have graduated from other technical faculties, are also eligible
for admission to the Ph.D. program supposed they have specialized in
mechanics, physics, mathematics and/or design.
The Ph.D. study is focused on scientific research and creativity in various
branches of mechanics of solid and flexible bodies and continua. Doctoral
students gain a more profound knowledge especially in the analysis of motion,
stress and strain, durability and failure prediction of mechanical and
biomechanical systems subjected to static, thermal and dynamic loading. For
solving these problems they use analytic, numerical and experimental methods.
By the end of their studies Ph.D. candidates gain a good theoretical basis
and a thorough knowledge in one of the following specializations:
 Kinematic and dynamic analysis and synthesis of mechanical
systems applied especially to rotor systems, screw machines, rail vehicle
components and nuclear power facilities.
 Damage and failure of structures from classical and composite
materials with focus on the analysis of the material characteristics
influence and on the development of methods for the optimization of
composite structures.
 Continuum mechanics, mechanics of microstructures and
biomechanics focused on modelling mechanical and physical
interactions in multiphase structured media and on modelling living
tissues at both cellular and macroscopic levels for selected human
organs, depending on the load applied and on physiological conditions.
The doctoral study program “Applied Mechanics” was accredited in both the
full-time and combined forms. After finishing doctoral studies Ph.D. graduates
find career opportunities especially in research and development centers in
various industrial companies , in public research institutions (e.g., Academy of
Sciences of the Czech Republic), in higher education institutions and in medical
research centers.
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3.3 Computer Science and
Engineering
The research areas include but are not limited to:
1) Methods for development of distributed and embedded systems
Methods of exact functionality specification of distributed systems using
existing or newly developed abstract models. Research into and development of
distributed systems architectures with emphasis on the utilization of reusable
HW and SW components. Methods and languages for the formal description of
component interface and functionality, and architectural specifications
(connection and communication of components).
Distributed and parallel simulation, active networks, GRID and mobile
computing.
Abstract models of distributed systems architecture aimed at the evaluation
of safety and reliability parameters. Construction of complex distributed
systems, models that support decomposition into independent parts.
2) Models and methods for development of reliable modular
software systems
Development and comparison of different methods of component design
verification based on formal specifications of component properties. Theoretical
aspects of verification, combination of various verification methods, and
investigation of a simulation model “distance” from the real system.
Analysis of component models, their utility for complex software systems
design. Properties of components, knowledge acquisition verification from
existing implementations, property correspondence verification for component
relations and substitutions. Models and tools for visualization of complex
software systems.
3) Intelligent methods for data processing
Development of special methods of biomedical and/or biometric signal
processing. Development of models and methods for knowledge representation
including models learning directly from the already analyzed biometric and
biomedical signals. Knowledge extraction from signal waveforms analyzed and
saved in neuroinformatic and biometric databases.
Development of new models and methods for knowledge representation and
acquisition, including derivation of models from data and multilingual ontology
infrastructure for the semantic Web. Utilization of approaches from natural
language understanding, artificial intelligence, mathematics, databases and
agent technologies.
Theoretical investigation of the concept of disinformation and its detailed
analysis. Creation of models for passive problems – identification, measure of
risk and decision-making. Creation of models for active problems – control and
influence.
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4) Methods for the representation of graphical information
Research into and design of algorithms for computer graphics, data and
information visualization, data representation, geometric object modelling and
manipulation, application of computational geometry. Design of algorithms
with respect to robustness and large data processing. Research into algorithms
for virtual reality, human-computer interfaces for virtual and collaborative
spaces, development of visual human-computer interaction techniques.
3.4 Cybernetics
Doctoral study in the field of Cybernetics is directly connected with the
Master study in the field of Cybernetics and Control Engineering within the
study program “Applied Sciences and Informatics”, accredited at the Faculty of
Applied Sciences. Graduates of other technical and natural science faculties,
specialized in informatics, computer science, mechatronics, applied
mathematics and similar fields are also eligible for this study. The program is
primarily based on the individual work of students with focus on the scientific
research documented by his/her publication activity. The courses are intended
to broaden the students´ theoretical knowledge in selected scientific areas.
Doctoral study in the field of Cybernetics is focused on the following areas:
 design and development of methods for system identification,
nonlinear filtration, fault detection, optimal decision-making or control
and adaptive systems covering adaptive control and adaptive signal
processing,
 research into and development of new methods of industrial process
control focused on robust and predictive control and on automatic
design and tuning of industrial controllers,
 design and development of speech technologies, i.e. computer analysis,
synthesis and speech signal recognition, design and construction of
voice dialogue systems including development of speech understanding
methods,
 development of decision-making methods with the support of artificial
intelligence, integration of knowledge-based and attribute-based
approaches (especially in technical and medical diagnostics),
 modelling , simulation and control of power distribution networks.
Doctoral study is offered in two forms: full-time and combined. Its ultimate
goal is to acquaint Ph.D. students with methods of scientific research and to
prepare them for highly qualified work in institutions conducting fundamental,
applied and/or industrial research (universities, Academy of Sciences of the
Czech Republic, industrial companies, hospitals and other institutions) or for
specialist positions in company managements.
3.5 Geomatics
The doctoral program Geomatics, that is a continuation of a Master
program Geomatics established in 1995, reflects a fast development of modern
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sophisticated observation techniques for collecting large amounts of geodetic
data. Geodetic data can be collected by direct methods such as electronic
tachometers and combined GNSS stations, or by indirect methods such as
laser scanning systems (LSS), aerial photogrammetry and remote sensing
systems. Methods used for analyzing observed data are becoming more
complex as the data amount increases. Large computer systems (clusters) must
be used to extract relevant and useful information from raw observations. The
quality and reliability of the extracted information, carefully exploited by
Geomatics, is an important factor for its further applicability. Besides the
classical theory of probability and adjustment calculus, it is also important to
use the theory of fuzzy sets to account for stochastic properties of measured
data. Optimized methods for collecting, processing, storing and sharing
geodata also depend on the use of suitable data models. Data modelling creates
new possibilities, both technological and methodological, for data visualization
in cartography and geoinformatics. Classical methods of processing and
distributing cartographic products are gradually replaced by their publications
in digital forms by using www-based technologies.
Ph.D. candidates of the doctoral program Geomatics are profiled into the
field of mathematical and physical geodesy, geodetic controls and satellite
navigation, geodynamics and date modelling, visualization in cartography and
geoinformatics with the emphasis on web-based applications. The program is
related to other disciplines such as mathematical statistics, numeric modelling,
graph theory, theory of information and complexity, applications of geometry
and computer-aided graphics. Graduates of this doctoral program may be
employed by private enterprises, governmental agencies, various research
institutes and universities.
3.6 Plasma Physics and Physics
of Thin Films
This doctoral study is aimed at the solution of fundamental problems from
the field of discharge plasma physics, plasma chemistry, surface physics and
engineering, and physics of thin films, which arise from the formation and
investigation of a new generation of thin film materials with unique physical
and functional properties. These materials (particularly amorphous and
nanostructured nitrides and oxides) are prepared by unconventional processes
in discharge plasmas of various types (mainly magnetron and microwave
discharges in continuous or pulsed mode). The main attention is paid to
modelling and diagnostics of the nonequilibrium discharge plasmas (optical
emission spectroscopy, energy-resolved mass spectroscopy and probe
methods),study of film growth and surface modification processes, design and
investigation of novel plasma sources for thin film deposition and surface
modification, characterization of the formed films and modified surfaces
(elemental composition, chemical bonds, structure, mechanical and optical
properties), and to the study of thermomechanical processes in materials
(modelling and diagnostics of temperature fields, and processes in laser
technologies).
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4 Ph.D. Study Boards
4.1
Applied Mathematics
Prof. RNDr. Pavel DRÁBEK, DrSc., chairman
Doc. Ing. Marek BRANDNER, Ph.D.
Doc. Ing. Josef DANĚK, Ph.D.
Prof. RNDr. Miloslav FEISTAUER, DrSc.
Doc. Ing. Gabriela HOLUBOVÁ, Ph.D.
Doc. RNDr. František JEŽEK, CSc.
Univ. – Prof. Dr. Bert JÜTTLER
Doc. RNDr. Tomáš KAISER, Ph.D.
Prof. RNDr. Jan KRATOCHVÍL, CSc.
Prof. Ing. Jiří KŘEN, CSc.
Doc. RNDr. Miroslav LÁVIČKA, Ph.D.
Prof. RNDr. Vlastimil KŘIVAN, CSc.
Prof. RNDr. Michal KŘÍŽEK, DrSc.
Prof. RNDr. Milan KUČERA, DrSc.
Prof. RNDr. Bohdan MASLOWSKI, DrSc.
Prof. RNDr. Petr PŘIKRYL, CSc.
Prof. RNDr. Zdeněk RYJÁČEK, DrSc.
Doc. Ing. František VÁVRA, CSc.
FAV ZČU
FAV ZČU
FAV ZČU
MFF UK
FAV ZČU
FAV ZČU
JKU Linz
FAV ZČU
MFF UK
FAV ZČU
FAV ZČU
BC AV ČR - ENTU
MÚ AV ČR
FAV ZČU, MÚ AV ČR
MFF UK
FAV ZČU, MÚ AV ČR
FAV ZČU
FAV ZČU
Prof. Ing. Vladimír ZEMAN, DrSc., chairman
KME, FAV ZČU
Prof. Ing. Vladislav LAŠ, CSc., vice-chairman
KME, FAV ZČU
Prof. Ing. Miroslav BALDA, DrSc.
ÚT AV ČR
Prof. Dr. Ing. Jan DUPAL
KME, FAV ZČU
Doc. Dr. RNDr. Miroslav HOLEČEK
KME, FAV ZČU
Ing. Milan HORTEL, DrSc.
ÚT AV ČR
Prof. Ing. Jiří KŘEN, CSc.
KME, FAV ZČU
Prof. Ing. Pavel MAREK, DrSc.
KME, FAV ZČU
Prof. Ing. František PLÁNIČKA, CSc.
KME, FAV ZČU
Ing. Jiří Plešek, CSc.
ÚT AV ČR
Dr. Ing. Pavel POLACH
Škoda výzkum s.r.o., Plzeň
Prof. Ing. Josef ROSENBERG, DrSc.
KME, NTC ZČU
Prof. Ing. Milan RŮŽIČKA, CSc.
FS , ČVUT Praha
Prof. Ing. Zbyněk ŠIKA, Ph.D.
FS , ČVUT Praha
Engineering
Prof. Ing. Jiří ŠAFAŘÍK, CSc., chairman
Doc. Ing. Pavel HEROUT, Ph.D.
Doc. Ing. Eduard JANEČEK, CSc.
Prof. Ing. Karel JEŽEK, CSc.
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KIV, FAV ZČU
KIV, FAV ZČU
KKY, FAV ZČU
KMA, FAV ZČU
KIV, FAV ZČU
Prof. Ing. Antonín KAVIČKA, Ph.D.
Doc. Dr. Ing. Jana KLEČKOVÁ
Prof. Dr. Ing. Ivana KOLINGEROVÁ
Prof. Ing. Václav MATOUŠEK, CSc.
Prof. Ing. Ondřej NOVÁK, CSc.
Doc. Ing. Stanislav RACEK, CSc.
Prof. Ing. Václav SKALA, CSc.
Doc. Ing. Václav ŠEBESTA, DrSc.
Prof. Ing. Pavel TVRDÍK, CSc.
Doc. Ing. František VÁVRA, CSc.
Doc. Ing. Vlastimil VAVŘIČKA, CSc.
Doc. Ing. Tomáš VOJNAR, Ph.D.
KIT, FEI, Univerzita Pardubice
KIV, FAV ZČU
KIV, FAV ZČU
KIV, FAV ZČU
UITE, TU Liberec
KIV, FAV ZČU
KIV, FAV ZČU
AV ČR, Praha
FIT, ČVUT Praha
KMA, FAV ZČU
KIV, FAV ZČU
FIT, VUT Brno
4.4 Cybernetics
Prof. Ing. Josef PSUTKA, CSc., chairman
Doc. Ing. Eduard JANEČEK, CSc.
Ing. Miroslav KÁRNÝ, DrSc.
Prof. Ing. Vladimír KUČERA, DrSc.
Prof. Ing. Vladimír MAŘÍK, DrSc.
Doc. Ing. Jiří MOŠNA, CSc.
Doc. Ing. Luděk MÜLLER, Ph.D.
Doc. Dr. Ing. Vlasta RADOVÁ
Prof. Ing. Miloš SCHLEGEL, CSc.
Prof. Ing. Miroslav ŠIMANDL, CSc.
Prof. Ing. Petr VAVŘÍN, DrSc.
KKY, FAV, ZČU
KKY, FAV, ZČU
AV ČR Praha, ÚTIA
FEL, ČVUT Praha
FEL, ČVUT Praha,
KKY, FAV, ZČU
KKY, FAV, ZČU
KKY, FAV, ZČU
KKY, FAV, ZČU
KKY, FAV, ZČU
VUT Brno
4.5 Geomatics
Prof. Ing. Pavel NOVÁK, Ph.D. chairman
RNDr. Ing. Petr HOLOTA, DrSc., vice-chairman
Doc. Ing. Václav ČADA, CSc.
Prof. Ing. Aleš ČEPEK, CSc.
Prof. Ing. Jan KOSTELECKÝ, DrSc.
Prof. Dr. Ing. Ivana KOLINGEROVÁ
Prof. Dr. Ing. Leoš MERVART, DrSc.
Prof. RNDr. Stanislav MÍKA, CSc.
Prof. Dr. Ing. Karel PAVELKA
Ing. Karel RADĚJ, CSc.
Doc. Ing. Jiří ŠÍMA, CSc.
KMA, FAV, ZČU
VÚGTK Zdiby
KMA, FAV, ZČU
FSV, ČVUT Praha
KMA, FAV, ZČU
VÚGTK Zdiby
KIV, FAV ZČU
FSv, ČVUT, Praha
KMA, FAV, ZČU
FSv, ČVUT, Praha
VÚGTK, Zdiby
KMA, FAV, ZČU
of Thin Films
Prof. RNDr. Jaroslav VLČEK, CSc., chairman
Prof. RNDr. Jaroslav FIALA, CSc.
Doc. Ing. Milan HONNER, Ph.D.
Doc. RNDr. Milan HRABOVSKÝ, CSc.
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KFY, FAV, ZČU
NTC, ZČU
KFY, FAV, ZČU
ÚFP, AV ČR, Praha
Prof. Ing. Jindřich MUSIL, DrSc.
Prof. Ing. Stanislav PEKÁREK, CSc.
Doc. RNDr. Karel RUSŇÁK, CSc.
Doc. RNDr. Jan SLAVÍK, CSc.
Prof. RNDr. Petr ŠPATENKA, CSc.
Prof. RNDr. Milan TICHÝ, DrSc.
Doc. Ing. Petr ZEMAN, Ph.D.
KFY, FAV, ZČU
FEL, ČVUT, Praha
KFY, FAV, ZČU
KFY, FAV, ZČU
PF, JU, Č. Budějovice
MFF, UK, Praha
KFY,FAV ZČU
5 Organization of Study
This section deals with the organization of doctoral studies in the
departments. It provides basic information on courses, required publication
activities, study stays abroad, organization of a state doctoral examination and
other relevant details.
5.1
Applied Mathematics
Doctoral study of applied mathematics is offered in two forms: full-time and
combined. The full-time students become members of the Department team and
of the corresponding Department Section according to the specialization of their
doctoral theses. By agreement with the supervisor and the Department
management, the students participate in teaching activities.
At the beginning of the study, the Ph.D. student, together with his/her
supervisor, draws up his/her individual study plan, which is approved and
regularly revised at the annual meetings of the Ph.D. Study Board. The plan
includes the examinations the Ph.D. student has to take during the first part of
his/her study, and the topic of his/her doctoral thesis, which the student must
submit for defense according to the prescribed schedule.
The first part is concluded by the state doctoral examination (a Ph.D.
student applies in writing for admission to the examination and submits a brief
paper on the topic of the future doctoral thesis). The doctoral study is completed
by the defence of the doctoral thesis (a Ph.D. student submits his/her
application for the defense together with the documents required by the Study
and Examination Rules of the University of West Bohemia). In general, the
above stated rules also apply to students in the combined form of study. In
fulfilling his/her duties, the Ph.D. student is monitored and guided by his/her
supervisor and the Department and Section heads.
Depending on the space available to the Department, the Ph.D. student is
allotted a place of work. Working hours are not fixed, but the Ph.D. student is
expected to report regularly to his/her supervisors.
Immediately, after starting the studies, the Ph.D. student is required to
contact the Department management.
Students applying for admission to the doctoral study program select one of
the topics offered by the Department and approved by the Scientific Council of
the Faculty of Applied Sciences. The admission procedure consists of an oral
examination in mathematics and mechanics and evaluation of the following:
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grade average achieved during university studies, results of the final state
examination and other professional activities (study stays, participation in
research projects, presentations and publications of research results).
Depending on the admission procedure results, the Admissions Board
recommends admission of the applicant to the Dean.
In the first stage of study (usually two years), the student takes, in
accordance with his/her individual study plan, examinations in three or four
subjects and in English, and submits his/her application for admission to the
state doctoral examination. On the supervisor´s recommendation the student
can be exempted from the English examination supposing he/she has passed
the state language examination or its equivalent in English or another world
language, or if he/she has completed a study stay abroad of at least six months´
duration and can prove that he/she has used English (or another world
language) for communication, and that he/she has given at least one
presentation in English (or another world language) at an international
conference before submitting his/her application for the thesis defense. The
fulfillment of the study plan is evaluated annually by the Ph.D. Study Board.
The state doctoral examination is divided into two parts. In the first part
the student takes examinations in mechanics of discrete systems, mechanics of
continuum and a narrowly specialized subject, chosen by the Ph.D. Study Board
and related to the topic of the student´s thesis. In the second part the reviewer
and the Examination Board evaluate the student´s written report for the state
doctoral examination and the presentation outlining his/her future work on the
doctoral thesis .
The doctoral study is concluded by the defense of the student´s doctoral
thesis before the Examination Board enlarged by two or three reviewers. During
the defense the student gives a 20 minutes´ presentation of the aims, content
and results of the thesis using multimedia tools; afterwards he/she answers the
questions asked by the reviewers, Board members and guests and responds to
their comments.
Full-time students are obliged to participate in the teaching activities of
the Department at least two hours a week for two terms. Students in both fulltime and combined forms of study are required to present their research at
scientific seminars and conferences. At least one of these events should be
international and the presentation should be given in English. They are also
expected to publish at least one paper in the reviewed proceedings of an
international conference or in a journal.
Engineering
The doctoral candidate applies for admission through the Dean´s Office and
chooses a doctoral thesis topic proposed by the supervisor. The doctoral
candidate is invited for an entrance interview, during which the Admission
Board appraises the student’s ability to pursue doctoral study (knowledge of the
chosen field of study, study results achieved so far, participation in projects,
publications, and study stays abroad); depending on the results of the entrance
interview, the Admission Board makes a recommendation to the Dean and, if
the interview is successful, proposes the supervisor.
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The student formulates his/her individual study plan and discusses it with
the supervisor after the start of his study. The individual study plan must fulfill
the following departmental requirements:
The student is required to complete at least three courses in the given field
of study. One course must be taken outside the Department. The courses have to
be completed during the first four semesters. During this period of study, the
student studies and analyses the existing literature (textbooks, conference
proceedings, journals, and other sources) and starts original research. By the
end of March of the second year he/she presents to the supervisor an analysis of
the state of the art and a description of the thesis goals in the form of a written
Ph.D. research proposal. It is expected that the research proposal is written in
English.
The student has to demonstrate his/her ability to communicate in foreign
language (English) in addition to his study results. Furthermore he is leaded to
publish his/her scientific results in journals and scientific conferences/workshops and if need be, the supervising Department may entrust the Ph.D. student
with teaching in the range of 2 – 4 hours per week at most. Student actively
participates on seminars and other educational and research activities of the
department too.
The student applies for admission to the state doctoral examination and
submits the written Ph.D. research proposal by the end of April of the second
year. The state doctoral examination is usually set at the end of June. It is
expected that two conference papers authored by the student have at least the
“accepted” status by that time. If the student has fulfilled some of the
requirements at another institution of higher education before commencing
his/her study at the Faculty of Applied Sciences, a proposal for the recognition
of the fulfillment must be included in the individual study plan at the beginning
of the study.
After passing the state doctoral examination, the student conducts original
research activities during them he prepares his/her Ph.D. thesis. It is expected
that he/she will publish another 2-3 reviewed conference papers; and at least
one paper in a scientific journal. After four years, the study is completed by
submitting a written Ph.D. thesis in English and defending it successfully in an
oral examination. The Ph.D. thesis should include:
 problem definition and aims,
 critical review of existing work,
 student’s novel solution,
 comparison of his/her solution with other approaches,
 statement whether the aims were achieved and possible directions of
future work,
 bibliography,
 appendices (optional).
The doctoral study is concluded by the defense of the Ph.D. thesis. It takes
place before the State Examination Board, consisting of outstanding specialists
in the given field and approved by the Scientific Council of the Faculty. The
thesis is reviewed at least by two independent specialists who write their
meaning about results of the Ph.D. research and send their reviews to the Dean
of the Faculty and to the Chair of the State Examination Board. After a
successful defense, the Ph.D. student is awarded the Ph.D. degree.
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5.4 Cybernetics
A doctoral candidate applies for admission through the Dean´s Office and
selects a doctoral topic proposed by the supervisor. The deadline for submitting
the applications announced at least one month in advance by the Dean’s Office.
The doctoral candidate is invited for an admission interview, during which the
Admission Board appraises the student’s ability to pursue doctoral study
(knowledge of the chosen field of study, study results achieved so far,
participation in research projects, publications, and study stays abroad).
Depending on the result of the admission interview, the Admission Board makes
a recommendation to the Dean and, if the interview is successful, proposes the
supervisor.
The standard length of study is three years. At the very beginning of the
study, the Ph.D. student and his/her supervisor draw up a student´s individual
study plan. This plan usually contains the duty to pass 3 - 5 exams in specialized
subjects, and one of the English language. The specialized subjects should be
chosen carefully with respect to the proposed doctoral thesis topic. In addition
to taking the exams stated in the approved study plan, the student is expected to
start working on his/her thesis at an early stage of study. The student is also
strongly encouraged to publish his/her research in scientific journals or at
scientific conferences. If need be, the supervising Department may entrust the
Ph.D. student with teaching (usually laboratory classes or supervision of
semester projects or Bachelor theses) in the range of 2 – 4hours per week at
most.
The recommended length of the first period of doctoral study, in which
students take examinations in the specialized subjects, is two years. The period
is concluded by the state doctoral examination. The defense of a paper outlining
the problems to be solved in the doctoral thesis and the methods to be used is an
indispensable part of the state doctoral examination. In this paper, the student
proves that he has studied all available literature concerning the chosen topic
and that he is able to formulate the problems that he wants to solve.
The doctoral study is concluded by the defense of the Ph.D. student´s
thesis. It takes place before the State Examination Board, consisting of
outstanding specialists in the given field and approved by the Scientific Council
of the Faculty of Applied Sciences. The thesis is reviewed by two independent
specialists. After a successful defense, the Ph.D. student is awarded the Ph.D.
degree.
5.5 Geomatics
The Ph.D. is a research degree for which a thesis on original research is a
major requirement. Candidates for the Ph.D. degree normally hold a Master's
degree in Geomatics or a related field. Each Ph.D. student pursues his/her
individual study plan under the guidance of his/her supervisor. The fulfillment
of the plan is monitored and checked annually by the Ph.D. Study Board. The
Ph.D. students are required to complete at least four courses offered by the
Department and spend a certain amount of time at some foreign university or
institution. Each candidate must take the state doctoral examination consisting
of the presentation and defense of a comprehensive outline of the proposed
research for his/her doctoral thesis. The doctoral study program is completed by
a successful defense of the Ph.D. thesis.
15
of Thin Films
The student undertakes intensive research under the guidance of his/her
supervisor in the laboratories of the Department of Physics or at other
collaborating national and foreign institutions. In the first two years of his/her
doctoral study, he takes examinations in three compulsory special subjects:
physics of discharge plasmas (first year), physics of surface layers and their
characterization, and film deposition and surface modification by plasma
techniques (second year), and in English. The three special subjects determine
the content of the state doctoral examination at the end of the second year of
study. Before the state doctoral examination the student is required to write a
report on what progress he/she has made so far in his/her research. Papers
published in journals or conference proceedings can be presented instead of the
report.
6 List of Supervisors
6.1
Applied Mathematics
Doc. Ing. Marek Brandner, Ph.D., Department of Mathematics
Numerical modelling, computational fluid mechanics
Doc. Ing. Roman Čada, Ph.D., Department of Mathematics
Graph theory
Doc. Ing. Josef Daněk, Ph.D., Department of Mathematics
Numerical modeling, finite element method
Prof. RNDr. Pavel Drábek, DrSc., Department of Mathematics
Functional analysis, nonlinear differential equations
Prof. RNDr. Eduard Feireisl, DrSc., Faculty of Mathematics and Physics, Charles
University in Prague
Nonlinear fluid dynamics, partial differential equations
Doc. Ing. Petr Girg, Ph.D., Department of Mathematics
Mathematical analysis, quasilinear differential equations
Doc. Ing. Gabriela Holubová, Ph.D., Department of Mathematics
Mathematical analysis, nonlinear differential equations
Doc. RNDr. František Ježek, CSc., Department of Mathematics
Geometric modelling
Doc. RNDr. Tomáš Kaiser, Ph.D., Department of Mathematics
Graph theory, combinatorial geometry
16
RNDr. Pavel Krejčí, CSc., Mathematical Institute of the Academy of
Sciences of the Czech Republic
Partial differential equations, hysteresis
Prof. RNDr. Milan Kučera, DrSc., Department of Mathematics,
Mathematical Institute of the Academy of Sciences of the Czech Republic
Nonlinear analysis, variational inequalities
Prof. RNDr. Alois Kufner, DrSc., Department of Mathematics,
Mathematical Institute of the Academy of Sciences of the Czech Republic
Differential equations, function spaces
Prof. RNDr. Vlastimil Křivan, CSc., Biology Centre of the Academy
Mathematical methods in biology
Doc. RNDr. Miroslav Lávička, Ph.D., Department of Mathematics
Geometric modelling, applications of algebraic geometry
Prof. RNDr. Bohdan Maslowski, DrSc., Faculty of Mathematics and
Physics, Charles University in Prague
Probability theory, stochastic differential equations
Prof. RNDr. Stanislav Míka, CSc., Department of Mathematics
Numerical methods, mathematical modelling
RNDr. Šárka Nečasová, Ph.D., DSc., Mathematical Institute of the Academy
of Sciences of the Czech Republic
Nonlinear fluid dynamics, partial differential equations
Prof. Dr. Ing. Eduard Rohan, DSc., Department of Mathematics
Partial differential equations and homogenization
Prof. RNDr. Zdeněk Ryjáček, DrSc., Department of Mathematics
Graph theory, theoretical informatics
RNDr. Miroslav Šilhavý, DrSc., Mathematical Institute of the Academy of
Partial differential equations, thermodynamics
RNDr. Petr Tomiczek, CSc., Department of Mathematics
Nonlinear boundary-value problems for differential equations
Ing. Petr Vaněk, Ph.D., Department of Mathematics
Numerical linear algebra, iterative methods
Doc. Ing. František Vávra, CSc., Department of Mathematics
Information theory, decision theory, risk analysis, modeling
Prof. Ing. Miloslav Vošvrda, CSc., Institute of Information Theory and
Automation of the Academy of Sciences of the Czech Republic
Mathematical methods in economy
17
Doc. Ing. Petr Brož, DrSc., Department of Mechanics
Mechanics of building structures, defects from both the physical and material
standpoint
Prof. Dr. Ing. Jan Dupal, Department of Mechanics
Statistical mechanics, dynamics, vibration of rotor systems vibroacoustics
Doc. RNDr. Zdeněk Hlaváč, CSc., Department of Mechanics
Technical mechanics, vibration, optimization
Doc. Dr. RNDr. Miroslav Holeček, Department of Mechanics
Mechanics of microstructure, thermodynamics
Ing. Luděk Hynčík, Ph.D., New Technology Centrum, Department of
Mechanics
Biomechanics, theoretical mechanics, modelling and simulation
Prof. Ing. Jiří Křen, CSc., Department of Mechanics
Technical mechanics, continuum mechanics, biomechanics, interaction of
continua of different phases, modelling and simulation
Prof. Ing. Vladislav Laš, CSc., Department of Mechanics
Stress and strain analysis, mechanics of composites, damage mechanics
Prof. Ing. Pavel Marek, DrSc., Department of Mechanics
Theory and reliability of structures
Prof. Ing. František Plánička, CSc., Department of Mechanics
Stress and strain analysis, fracture mechanics, plasticity, fatigue life
Prof. Dr. Ing. Eduard Rohan, DSc., Department of Mechanics
Continuum mechanics, structure optimization, tissue models, homogenization
method in mechanics of microstructure
Prof. Ing. Josef Rosenberg, DrSc., New Technology Centrum, Department
of Mechanics
Continuum mechanics, theoretical mechanics, tissue models, nonlinear
dynamics and chaos
Doc. Ing. Jaromír Švígler, CSc., Department of Mechanics
Kinematics, vehicle mechanics, surface modelling, contact of surfaces
Doc. Ing. Jan Vimmr, Ph.D., Department of Mechanics
Technical mechanics, fluid dynamics, modelling of turbulent fluid flow
Prof. Ing. Vladimír Zeman, DrSc., Department of Mechanics
Technical mechanics, dynamics of machines, vibration, system optimization
Ing. Robert Zemčík, Ph.D., Department of Mechanics
Mechanics of composites, damage mechanics, piezoelectric materials, smart
structures
18
Engineering
Doc. Ing. Přemysl Brada, MSc. Ph.D., Department of Computer Science &
Engineering
Software engineering and processes; software components, composition and
substitutability in modular software systems; modeling and visualization of
software structures
Doc. Ing. Pavel Herout, Ph.D., Department of Computer Science &
Engineering
Simulation models, transportation systems; portable, robust, scalable and
secure software systems, modern programming styles and methods
Prof. Ing. Karel Ježek, CSc., Department of Computer Science &
Engineering
Textual and semi-structured data exploring; Web content and Web structure
mining; semantic Web; information and knowledge extraction from large data
collection; deductive systems
Doc. Dr. Ing. Jana Klečková, Department of Computer Science &
Engineering
Database systems, XML, Web, data compression, data warehouses, document
information systems, spontaneous speech recognition, multimedia databases
Doc. Ing. Josef Kohout, Ph.D. , Department of Computer Science
&Engineering
Computer graphics, computational geometry, bioinformatics
Prof. Dr. Ing. Ivana Kolingerová, Department of Computer Science &
Engineering
Computer graphics, applied computational geometry
Ing. Pavel Král, Ph.D., Department of Computer Science & Engineering
Automatic speech processing, image processing
Ing. Jiří Ledvina, CSc., Department of Computer Science & Engineering
System programming, operating systems, computer networks, distributed
systems
Prof. Ing. Václav Matoušek, CSc., Department of Computer Science &
Engineering
Artificial intelligence, pattern analysis and recognition, human-machine
communication in natural language, biometry and bioinformatics,
neuroinformatics
19
Ing. Pavel Mautner, Ph.D., Department of Computer Science& Engineering
Pattern recognition, application of artificial neural networks, signal processing,
biometrics, neuroinformatics – ERP data processing and analysis
Ing. Roman Mouček, Ph.D., Department of Computer Science &
Engineering
Natural language semantics, neuroinformatics – EEG and event related
potentials
Ing. Pavel Nový, Ph.D., Department of Computer Science & Engineering
Information theory methods, signal processing and decision making theory used
for data processing in generally and functional diagnostic in medicine
Doc. Ing. Stanislav Racek, CSc., Department of Computer Science &
Engineering
Verification of computer system properties (performance, reliability)mathematical and/or simulation models, algebraic specification, evaluation
nets, model checking
Ing. Ondřej Rohlík, Ph.D., Department of Computer Science &Engineering
Software engineering, software reuse, software frameworks, aspect oriented
programming, feature modeling, game AI
Prof. Ing. Václav Skala, CSc., Department of Computer Science &
Engineering
Algorithms for computer graphics and data structures, algorithms and methods
for data and information visualization, Euclidean and projective spaces,
geometry algebra
Prof. Ing. Jiří Šafařík, CSc., Department of Computer Science &
Engineering
Operating systems, distributed systems, active networks, distributed and
parallel simulation
Ing. Petr Vaněček, Ph.D., Department of Computer Science & Engineering
Computer graphics, data and information visualization, interface for graphics
cards and GPU programming
Ing. Libor Váša, Ph.D., Department of Computer Science & Engineering
Computer graphics, triangle mesh processing, geometry data compression
Doc. Ing. František Vávra, CSc., Department of Computer Science &
Engineering
Information theory, decision- making theory, risk analysis, model design
Doc. Ing. Vlastimil Vavřička, CSc., Department of Computer Science &
Engineering
Digital system architecture, embedded systems, design methodology, reliability,
testability, CPLD, FPGA
20
6.4 Cybernetics
Ing. Pavel Balda, Ph.D., Department of Cybernetics
Process and machine control, real-time control and simulation, human machine
interface
Doc. Ing. Eduard Janeček, CSc., Department of Cybernetics
Modelling, diagnostics, machine and process control. Stochastic models of
complex systems and networks, estimation of their states and parameters
Ing. Miroslav Kárný, DrSc., Institute of Information Theory and
Automation of the Academy of Sciences of the Czech Republic
Decision-making under uncertainty, multiparticipant decision-making, adaptive
control, optimal control, Bayesian approach, computational aspects
Doc. Ing. Jindřich Matoušek, Ph.D., Department of Cybernetics
Speech synthesis; text-to-speech synthesis; speech modelling & segmentation;
phonetics; phonology; phonetic transcription; speech acoustics; speech prosody
Doc. Ing. Jiří Melichar, CSc., Department of Cybernetics
Linear control systems, multivariable systems, optimal control, decentralized
and hierarchical control
Doc. Ing. Jiří Mošna, CSc., Department of Cybernetics
Stochastic systems, optimal control, linear control systems, adaptive systems
Doc. Ing. Luděk Müller, Ph.D., Department of Cybernetics
Spoken language processing, voice dialogue systems, technical diagnostics
Prof. Ing. Josef Psutka, CSc., Department of Cybernetics
Speech analysis, synthesis and recognition, spoken dialogue systems, pattern
recognition, artificial intelligence, technical and medical diagnostics
Doc. Dr. Ing. Vlasta Radová, Department of Cybernetics
Speaker recognition, speech signal processing
Prof. Ing. Miloš Schlegel, CSc., Department of Cybernetics
Linear systems, robust control systems, model based predictive control, process
control, embedded control, industrial controllers, mechatronics
Prof. Ing. Miroslav Šimandl, CSc., Department of Cybernetics
Nonlinear filtering, system identification, fault detection, adaptive control,
adaptive signal processing, optimal control, stochastic systems
Doc. Ing. Miloš Železný, Ph.D., Department of Cybernetics
Multimodal processing of human speech and sign language, gestures, emotions
and non-speech expressions; machine vision, industrial and medical vision
21
6.5 Geomatics
Doc. Ing. Václav Čada, CSc., Department of Mathematics
Geodesy, digital cartography
Prof. Ing. Aleš Čepek, CSc., Faculty of Civil Engineering, CTU Prague
Data structures and algorithms
Ing. Jan Douša, Ph.D., Research Institute of Geodesy, Cartography and
Topography, Zdiby
Satellite geodesy, meteorology using data of satellite navigation systems
RNDr. Ing. Petr Holota, DrSc., Research Institute of Geodesy, Cartography
and Topography, Zdiby
Theoretical geodesy
Doc. RNDr. František Ježek, CSc., Department of Mathematics
Geometry
Prof. Dr. Ing. Ivana Kolingerová, Department of Informatics
Computer graphics, computational geometry
Prof. Ing. Jan Kostelecký, DrSc., Research Institute of Geodesy,
Cartography and Topography, Zdiby
Satellite geodesy
Ing. Jakub Kostelecký, Ph.D., Research Institute of Geodesy, Cartography
Satellite navigation, gravimetry
Doc. RNDr. Pavel Mentlík, Ph.D., Department of Geography, Faculty of
Education, University of West Bohemia
GIS, geomorphology
Prof. RNDr. Stanislav Míka, CSc., Department of Mathematics
Numerical mathematics
Prof. Ing. Pavel Novák, Ph.D., Department of Mathematics
Geodesy
Ing. Vojtech Pálinkáš, PhD., Research Institute of Geodesy, Cartography
Gravimetry
Prof. Ing. Josef Psutka CSc., Department of Cybernetics
Artificial intelligence, pattern recognition
Ing. Cyril Ron, CSc., Astronomical Institute of the Academy of Science of
the Czech Republic
Earth’s station, astrometry
22
Doc. Ing. Jiří Šíma, CSc., Department of Mathematics
Photogrammetry
Ing. Milan Talich, Ph.D., Research Institute of Geodesy, Cartography and
Topography, Zdiby
Geodynamics, satellite navigation, web applications in geodesy
Prof. Ing. Bohuslav Veverka, DrSc., Faculty of Civil Engineering, CTU
Prague
Cartography
of Thin Films
Prof. RNDr. Jaroslav FIALA, CSc., New Technologies Research Centre
Solid state physics, film characterization, X-ray diffraction
Doc. Ing. Milan HONNER, Ph.D., Department of Physics
Thermomechanical processes in materials, modelling and diagnostics of
temperature fields
Prof. Ing. Josef KUNEŠ, DrSc., Department of Physics
Thermomechanical processes in materials
Prof. Ing. Jindřich MUSIL, DrSc., Department of Physics
Plasma physics, surface physics and engineering, physics of thin films
Doc. RNDr. Jan SLAVÍK, CSc., Department of Physics
Physics of discharge plasmas
Prof. RNDr. Petr ŠPATENKA, CSc., University of South Bohemia, Č.
Budějovice
Plasma diagnostics, physics of thin films
RNDr. Jiří Vackář, CSc., Institute of Physics of the Academy of
Science of the Czech Republic
Computer simulation of solud states
Prof. RNDr. Jaroslav VLČEK, CSc., Department of Physics
Physics of discharge plasmas, surface physics and engineering, physics of thin
films
Doc. Petr ZEMAN, Ph.D., Department of Physics
Physics of thin films, Thermal behavior of thin films materials
23
7 List of Courses
7.1
Department of Mathematics
Algorithmic Graph Theory and Computational Complexity
Algoritmická teorie grafů a výpočetní složitost
Prof. RNDr. Zdeněk Ryjáček, DrSc.
Elements of algorithmic graph theory and computational complexity. Basic
graph problems solvable in polynomial time and basic NP-complete problems.
Computational complexity theory and NP-completeness: deterministic and nondeterministic algorithms, languages of P and NP classes, NP-completeness of
Boolean satisfiability problem, polynomial-time reduction of NP-complete
problems. Approximation algorithms and heuristics.
Bayesian Methods
Bayesovské metody
Mgr. Michal Friesl, Ph.D., Prof. RNDr. Marie Hušková, CSc.
Bayes Theorem and its application, a priori and a posteriori probability
distribution, conjugate systems of densities, Jeffreys density, limit a posteriori
densities, empirical Bayes methods, risk function, Bayes risk, Bayes decision
functions, Bayes estimators and hypothesis testing.
Bifurcation Theory
Teorie bifurkací
Prof. RNDr. Pavel Drábek, DrSc., Doc. Ing. Petr Girg, Ph.D.,
Prof. RNDr. Milan Kučera, DrSc.
Fundamental theorems concerning bifurcation of solutions of nonlinear
operator equations. Crandall-Rabinowitz, Krasnoselskij, bifurcation based on
degree theory, potential bifurcation theorem. Bifurcation of periodic solutions –
Hopf bifurcation, bifurcation of variational inequalities.
Coding Theory
Teorie kódů
Doc. RNDr. Tomáš Kaiser, Ph.D.
Introduction to theory of error-correcting codes. Relations between code
parameters. Basic code classes: linear codes (e.g. Hamming, Golay), cyclic codes
(BCH), nonlinear codes (Hadamard code). Connection with combinatorics.
Combinatorial Geometry
Kombinatorická geometrie
Convex sets. Basic properties, Separation Theorem. Helly’s and Radon’s
Theorems. Lattices and Minkowski’s Theorem, applications in number theory.
Convex independence in plane. Tverberg’s Theorem and its generalization.
24
Chromatic Graph Theory
Chromatická teorie grafů
Graph coloring. Connection with maximum degree (Brooks’ Theorem,
Vizing’s Theorem). Duality and flows. List coloring. Coloring of graphs on
surfaces (plane graphs, Heawood Theorem). Polynomial graph invariants
(chromatic polynomial, Tutte polynomial) and connection with knot theory.
Algorithmic aspects of graph coloring.
Differential Geometry
Diferenciální geometrie
Doc. RNDr. František Ježek, CSc., Doc. RNDr. Zbyněk Šír, Ph.D.,
Prof. dr. Bert Jüttler
Description of curves and surfaces, parametrization. Frenet formula,
canonical form and natural equation for curves. Special curves, properties
(namely offsets). Theorem of four vertexes, isoperimetric inequality. First and
second fundamental form for surfaces, surface curvature (normal, main, Gauss,
middle and geodetic). Gauss-Bonnet formula, surface topology. Differential
forms, tensors, Stokes theorem. Fundamentals of differential manifolds in E_n.
First and second fundamental form. Discrete differential geometry. Discrete
curvature. Willmore energy. Minimal surfaces(representation).
Dynamical Systems
Metody studia dynamických systémů
Prof. RNDr. Pavel Drábek, DrSc., Doc. Ing. Gabriela Holubová, Ph.D.
Structural stability, bifurcation of finite-dimensional dynamical systems,
semigroups, invariant sets, attractors. Dissipative evolution partial differential
equations of the first order, wave equations. Ljapunov exponents and
dimensions of attractors.
Geoinformation Technology
Geoinformační technologie
Doc. Ing. Václav Čada, CSc., Ing. Milan Talich, Ph.D.
Developments and trends in implementation of geoinformation technology
(GIT). Role of geoinformatics in institutional control systems. Data
management and data sharing in GIT. Processes of strategic planning inside an
institution. GIT project and its implementation. Economic justification of GIT
projects. Problems with GIT implementation. Legal and personal aspects of GIT
implementation.
Geometry and Geometric Modelling
Geometrické modelování
Doc. RNDr. František Ježek, CSc., Ing. Bohumír Bastl, Ph.D.,
Prof. Dr. Bert Jüttler
Fundamentals of geometric modeling, geometric spaces. Geometric
transformations (linear, TPS, reverse Coons patch). Modern algebra in
geometric modeling (symbolic calculus, Gröbner bases, resultants). NURBS
(Non-Uniform Rational B-Splines), special classes and its generalization.
Subdivision techniques for curves and surfaces. PH and LN objects and its
generalization. Offsets. Volume modeling, Euler’s operators. Variational
geometry (Chyz'graph, constructive sets).Geometric algorithms, invariance and
25
relation to graph algorithms. Methods of geometric modeling in reverse
engineering.
Geometry in Geomatics
Geometrie v geomatice
Doc. RNDr. František Ježek, CSc.
Differential geometry of curves and surfaces. Splines, Coons‘s and NURBS‘s
description. Affine, projective and nonlinear transformation (TPS).
Triangulation methods of surfaces and geometric tasks of geomatics on
discretized surfaces (geodetics, visibility, etc.). Special geometries (nonEuclidean, Lager, etc.) and their applications.
Geospatial and Data Modelling
Geoprostorové a datové modelování
Prof. Dr. Ing. Ivana Kolingerová, Prof. RNDr. Zdeněk Ryjáček, DrSc.,
Doc. Ing. Václav Čada, CSc., Ing. Milan Talich, Ph.D.,
Doc. Ing. Jiří Šíma, CSc.
Database systems. Visualization methods of geospatial databases. Methods
of grid and vector computer graphics. Methods of the graph theory.
Graph Theory and Discrete Optimization
Teorie grafů a diskrétní optimalizace
Optimization problems on graphs and networks – valued flow in network,
algorithms for finding optimal flow. Assignment problems, maximum and
optimal matching and Hungarian method. Linear programming, duality,
simplex algorithm, computational complexity. Integer linear programming and
its NP-completeness. Optimization problems on graphs and networks as
problems of linear programming.
Hamiltonian Graph Theory
Hamiltonovská teorie grafů
Properties of hamiltonian graphs – connectivity, toughness.
Fundamental sufficient conditions of hamiltonicity of a graph – Erdös-Chvátal
theorem, degree conditions and the Bondy-Chvátal closure, closure operations
based on structural conditions. Further Hamiltonian properties – traceability,
uncyclicity, Hamilton-connectedness Hamiltonian properties of graphs from
special classes – planar graphs and Tutte’s theorem, line graphs and their
preimages, forbidden subgraphs and hamiltonian properties.
Matching Theory
Teorie párování
Maximum matching in bipartite graphs, Hall’s Theorem and Hungarian
method. Matching in general graphs, alternating paths and Berge’s Theorem,
Tutte Theorem, Edmonds algorithm, Edmonds-Gallai decomposition.
Extendable matching, factor-critical graphs.
26
Methods for Collecting Geospatial Data
Metody sběru geoprostorových dat
Doc. Ing. Václav Čada, CSc.
Recent technologies in collection of geospatial data. Direct and indirect
methods of data collecting. Development and applications of modern geodetic
controls. Networks of permanent GNSS stations (CZEPOS project). Statistical
and economic analysis and optimization methods.
Methods of Applied Geomatics
Metody aplikované geomatiky
Doc. Ing. Jiří Šíma, CSc.
Topographic mapping. Fundamental Base of Geographical Data. Digital
terrain models, methods of their improvement. Development of
ortophotographic projection of the territory of the Czech Republic. Applications
of digital photogrammetry. Laser scanning systems.
Methods of Computer Modelling
Metody počítačového modelování
Doc. Ing. Marek Brandner, Ph.D.,
Doc. Ing. Josef Daněk, Ph.D.
Mathematical and numerical analysis of non-linear physical fields.
Optimalisation techniques, a posteriori bounds, numerical modelling of the
processes involving phase change. Special numerical methods for partial
differential equations. Methods of the Galerkin type, in particular the finite
element method. The finite volume method. Parallel computational methods.
Mathematical software applicable in the computational modelling.
Methods of Pattern Recognition
Metody rozpoznávání obrazu
Prof. Ing. Josef Psutka, CSc.
Technical and mathematical methods for analyzing picture information.
Filtration, segmentation and compression of pictures.
Numerical Modelling of Conservation Laws
Numerické modelování zákonů zachování
Doc. Ing. Marek Brandner, Ph.D.
Hyperbolic partial differential equations, classical and weak solution.
Vanishing viscosity solution and entropy solution. Riemann problem. Finite
difference method. Finite volume method, consistency, stability and
convergence. Godunov type methods, high-resolution schemes. Approximate
Riemann solvers. Central schemes. Nonlinear systems and multidimensional
problems.
Selected Parts of Theoretical Numerical Analysis
Vybrané kapitoly z numerické analýzy
Doc. Ing. Josef Daněk, Ph.D.
Direct and iterative methods of numerical linear algebra and their
applications to solving partial differential equations. Methods based on the
matrix factorizations and iterative methods. LU factorization, QR factorization a
other decompositions of the matrices, their properties and their applications in
computational methods. The classical iterative methods(Jacobi, GS, SOR), their
27
properties and use. The conjugate gradients method, modern iterative methods
for non-symmetric problems (e.g., GMRES).Preconditioning and the
construction of pre-conditioners. The multi-grid method, algebraic multi-grid.
Methods and algorithms based on the domain decomposition principle. FETI
and ADI methods. Splines and wavelets and their use in numerical analysis.
Selected Topics of Functional Analysis
Vybrané partie funkcionální analýzy
Doc. Ing. Gabriela Holubová, Ph.D.
Basic properties of linear and nonlinear operators in normed linear spaces,
abstract integral and differential calculus, local properties of differentiable
mappings, differential and integral calculus on manifolds.
Statistics
Statistika
Doc. Ing. František Vávra, CSc.
Convergence in distribution, in probability, almost sure convergence, in the
k-th mean. Point-estimators, exponential family of distributions, Cramér-Rao
lower bound, Fisher information. Confidence intervals. Tolerance and
prediction areas, continuous random variables, Wilk's tolerance limits. Large
sample tolerance limits. Ratio statistics, large sample case. Rank statistics.
Spearman's correlation, Kendal tau, introduction to copulas. Stochastic order
and dominance. Hypothesis testing - advanced methods, sequential tests,
multiple sampling tests, independency hypothesis testing. Kernel probability
density estimators, non-parametric regression, heteroskedasticity and skedastic
function. Some kernels and bandwidth parameter determination.
Selected Chapters of Modern Algebra
Vybrané kapitoly z moderní algebry
RNDr. Libuše Tesková, CSc.
Groups, non-commutative, Abelian groups, p-groups, Sylow subgroups.
Direct decomposition of Abelian groups. Rings,fields, modules and vector
spaces. Finite groups and their representation.
Selected Topics in Theoretical Geodesy
Vybrané kapitoly z teoretické geodézie
Prof. Ing. Pavel Novák, CSc., Prof. Ing. Jan Kostelecký, DrSc.,
Ing. Jan Douša, Ph.D., RNDr. Ing. Petr Holota, DrSc.,
Ing. Vojtěch Papinkáš, Ph.D., Ing. Václav Slaboch, CSc., Jiří Lechner
Satellite geodesy and geodynamics. Physical geodesy. Gravimetry. Satellite
dynamics. Metrology.
Theoretical and Computational Geodesy
Teoretická a výpočtová geodézie
Prof. Ing. Pavel Novák, Ph.D., Ing. Jakub Kostelecký, Ph.D.
Mathematical models of the Earth’s gravity field, numerical modelling of
equipotential surfaces. Methods for determination of geodetic reference
surfaces. Software and algorithms of numerical mathematics. Modern
numerical and statistical methods for analysis of geodetic data. Issues of
stability and conditionality of computational systems. Quality assessment of
geodetic controls.
28
Theory of Information and Economic Data Analysis
Teorie informace a analýza ekonomických dat
Information, entropy, mutual information, investment theory and betting,
decision making, parametrical estimation, non-parametrical and parametrical
models, risk as a process analysis.
Topological Methods for Differential Equations
Topologické metody řešení diferenciálních rovnic
Abstract implicit function theorem, theorem on local diffeomorphism, fixed
point theorems. Monotone operators. Brouwer and Leray-Schauder degree of
the mapping. Method of upper and lower solutions and the link to the degree of
the mapping. Applications to the boundary value problems for ODEs and PDEs.
Topology
Topologie
Overview of basic general topology: topological space, connectedness,
convergence and compactness. Homotopy. Elements of algebraic topology.
Fundamental group. The Seifert-Van Kampen Theorem. Applications: the
Jordan Curve Theorem, the Borsuk-Ulam Theorem. Classification of compact
surfaces.
Variational Methods for Differential Equations
Variační metody řešení diferenciálních rovnic
Prof. RNDr. Pavel Drábek, DrSc., Doc. Ing. Petr Girg,
Local and global extrema. Weak lower semicontinuity and weak
compactness. Ekeland variational principle. Palais-Smale condition and its
modifications. Mountain Pass Theorem of Ambrosetti and Rabinowitz. Saddle
Point Theorem of Rabinowitz. Applications to the boundary value problems for
ODEs and PDEs.
7.2 Department of Mechanics
Biomechanics
Biomechanika
Prof. Ing. Jiří Křen, CSc.
Biomechanics of human muscular-skeletal and cardial-vascular systems.
Bioviscoelasticity of solids tissues, soft tissues and fluids. Rheology of
viscoelastic materials and biological systems. Mechanics of skeletal and smooth
muscles, biomechanics of the heart muscle. Hill´s and Huxley´s muscle model.
Living tissue properties identification. Human blood and viscometers.
Mechanical properties and models of blood vessels. Biomechanics of artificial
replacements, biotolerance, artificial joint replacements. Biomechanics of
syndesmus and cartilages, fundamentals of lubrication theory and synovial
fluids. Lungs biomechanics. Tissue engineering. Urinary system biomechanics.
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Biomechanics of the human motion system. Tissue and organ modelling based
on the non-linear continuum. Tissue models based on mixtures.
Computational Methods of Dynamics
Výpočtové metody dynamiky
Prof. Dr. Ing. Jan Dupal
Mathematical modelling of continuum dynamics problems. Approximate
methods of discretization. Eigenvalue investigation. Response calculation of
continuum represented by selfadjoint and non-selfadjoint operators and by
matrices (after discretization). Discretization of structures such as beams,
rotating shafts, plates and shells by FEM. Modelling of structures consisting of
the above types of continuum. Stress and stability analysis of non-symmetrical
rotors and special multibody-beam systems. Numerical methods of direct
integration of the equation of motion. Use of the MATLAB system in dynamics.
Computational Methods of Mechanics of Continuum
Výpočtové metody mechaniky kontinua
Prof. Ing. Vladislav Laš, CSc.
Virtual work principle and variational principles. Approximate methods for
the solution of continuum mechanics problems. Finite element method and
solution to elastostatic and dynamic problems. Boundary element method. Nonlinear problem solution – physical nonlinearity, contact problem. Non-linear
stress state, elastic and plastic stress waves propagation during body impact.
Numerical solution to linear and non-linear fracture mechanics problems using
computational systems ( MARC, ANSYS).
Damage and Failure of Composite Materials
Porušování kompozitních materiálů
Prof. Ing. Vladislav Laš, CSc.
Mechanics of composite materials. Unidirectional composites and
determination of their material characteristics. Classical laminate theory.
Macro- and micro-mechanical criteria of unidirectional composite failure.
Modern interactive failure criteria (Direct mode) from the LaRC group (NASA).
Progressive failure analysis. Numerical simulation of composite damage under
static and dynamic loading using the finite element method. Laminate residual
strength determination.
Damage and Fracture of Structural Elements
Poškození a porušení konstrukčních prvků
Doc. Ing. Petr Brož, DrSc. CSc.
Background on continuum damage mechanics, numerical analysis of
damage, damage localization, damage models – the uniaxial and the applicable
one to multiaxial state of stress, analysis of the crack root vicinity, criteria for
crack propagation, linear elastic and elastic – plastic fracture mechanics,
dynamic and time – dependent fracture, fracture mechanics in metals and
nonmetals, fracture toughness testing of metals, fracture testing of nonmetals,
computional fracture mechanics, determination of K, J, compliance and limit
load solutions, ductile failures; creep, creep – fatigue and dynamic failure;
failure of brittle and quasi – brittle materials.
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Design and Monitoring of Composite Structures
Návrh a monitorování kompozitních konstrukcí
Ing. Robert Zemčík, Ph.D.
Mechanics of anisotropic materials. Multiscale (micro, meso, macro)
models of unidirectional and textile composite shell structures with non-linear
response (degradation, anisotropic plasticity). Non-stationary state of stress,
stress wave propagation and impacts. Identification of material characteristics
using combination of experimental tests, numerical simulations and
optimization methods. Contactless optical methods (digital image correlation,
stereophotogrammetry). Piezoelectric materials and measurements using
piezoelectric transducers. Passive and active methods of structural health
monitoring for reconstruction of unknown load and identification (detection,
localization) of defects.
Dynamic Synthesis and Optimization
Dynamická syntéza a optimalizace
Doc. RNDr. Zdeněk Hlaváč, CSc.
Classification of selected problems of dynamic synthesis of vibrating
mechanical systems (condensation, tuning, optimization). Methods of dynamic
condensation. Method of spectral tuning. Eigenvalue sensitivity to design
parameter changes. Formulation of parametric optimization problems in
machine and structure dynamics. Algorithms of one-dimensional and multidimensional unconditional minimization. Conditional minimization. Software
for optimization.
Dynamics of Machines
Dynamika strojů
Prof. Ing. Vladimír Zeman, DrSc.
Modelling of multibody system motion using Lagrange´s equations.
Discrete models of linear vibration systems in matrix form. Modal and spectral
matrices. Modal methods for dynamic response investigation. Steady harmonic
and periodic forced vibration. Modelling of large mechanical systems by modal
synthesis method with condensation. Application – dynamics of rotors,
vibroisolation of machines, torsional vibration of drives, vibration of shaft
systems with gears, beam and piping system vibration, seismic vibration of
structures.
Experimental Dynamics and Identification
Experimentální dynamika a identifikace
Prof. Ing. Miroslav Balda, DrSc.
Random processes and their characteristics in time and frequency domains.
Continuous and discrete Fourier transform. Vibration exciters and sensors.
Measuring chain components. Methods of measurement and digital processing
of harmonic and random processes. Procedures for the determination of modal
and frequency characteristics. Multichannel measurement of forced vibrations
of structures and rotor systems. Parametric identification of mechanical
systems.
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Experimental Stress and Strain Analysis
Experimentální pružnost
Prof. Ing. František Plánička, CSc.
Statistical analysis of experimental data. Modelling similitude. Strain
gauges measurement: mechanical gauges, optical gauges, electrical resistant
gauges. Optical methods of stress and strain analysis: photoelasticity, moiré
method. Displacement and strain measurement under high temperature.
Experimental analysis of vibration. Residual stresses. Acoustic emission. Special
methods.
Fracture Mechanics
Lomová mechanika
Griffith´s theory of brittle fracture. Linear fracture mechanics. IrwinOrowan approach, intensity factor, fracture toughness, crack stability condition.
Non-linear fracture mechanics, J-integral and crack opening methods . Two
parameter fracture mechanics. Energy approach to fracture mechanics.
Energetic principles. Combined loading mode. Numerical modelling of fracture
mechanics problems and their solution using FEM. Fracture mechanics in
relation to fatigue.
Fundamentals of Anatomy and Physiology
Základy anatomie a fyziologie
Doc. MUDr. Jiří Motáň, CSc.
Cells and their parts. Tissues and their classification. Composition of the
body. Skeletal system. Bone and its structure, bone connections. Joints in the
head, spine and limbs areas. Muscular system, muscle composition and
functions, main muscles. Digestive system. Urinary and genital systems, urinary
tract. Body fluids, blood functions. Blood circulation, heart and its composition
and functions. Respiratory system, lungs and breathing mechanics, breathing
regulation. Nervous system (peripheral and central). Immunity system. Skin
and its composition. Skin adnexa. Sense organs. Receptors, organs of smell,
taste, hearing, sight, equilibrium. The course is organized in cooperation with
Charles University, Faculty of Medicine in Pilsen.
Fundamentals of Mechanics of Continuum
Základy mechaniky kontinua
Prof. Ing. Josef Rosenberg, DrSc.
Basic types of continuum description, conservation laws, equilibrium
conditions, kinematic equations including large deformations. Objective vectors
and tensors. Microcontinuum. Theory of constitutive equations, constitutive
equations of different continuum types. Basic thermodynamic laws, energy
equilibrium conditions. Boundary and initial conditions of continuum
mechanics. Displacement and stress formulation of elasticity problems (Lame
and Beltrami equations). 2-D problem of elasticity. Airy stress function.
Variational formulation - direct and indirect (virtual work principle, Lagrange
and Castigliano principles). Fundamentals of theory of plasticity and
thermoplasticity. Viscoelastoplasticity. Stress waves propagation in bodies.
Problems of hydrodynamics.
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Impact biomechanics
Impaktní biomechanika
Ing. Luděk Hynčík, Ph.D.
History of impact biomechanics. Definition of terms of impact biomechanics.
Impact biomechanics and its relation to traffic. Statistics, databases and their
exploitation for impact biomechanics. Injury mechanisms and injury criteria.
Injury scales. Prevention. Mechanical dummies. Legislation and its trends. Tests
and their evaluation. Numerical models and their exploitation for impact
biomechanics. Impact biomechanics and virtual testing.
Interaction of Continua of Different Phases
Interakce kontinuí různých fází
Classification of continuum interaction problems (weak and strong coupled
systems) and basic formulation of the problem of fluid-flexible body interaction.
Lagrange´s and Euler´s description of interacting continuum characteristics,
linear and non-linear problems of continuum interaction. Conjugated and nonconjugated methods of interaction problems solution, basic mathematical
models. Laws of conservation in ALE description and application of ALE
description in continuum interaction problems. Numerical methods for the
solution of linear problems of continuum interaction.
Interaction of Structures and Loading Effects of Ambient
Interakce konstrukcí a zatěžovacích účinků okolního prostředí
Doc. Ing. Jan Pašek, Ph.D.
Effects of non-forced loads on structures – temperature fields, temperature
shocks, moisture field, rheological processes, chemical and physical
degradation, movements of underlying bedrock. Effects of exceptional loads on
structures – explosion, fire, vehicle / aircraft crash, technical and natural
seismicity. Deformation effects of the structures, forced deformations. Singlelayer and layered (sandwich) structures. Effect of stiffness of the structure,
loaded by non-forced and extraordinary effects, on its stress state. Effect of
material parameters on the stress of the structures and their reliability – the
material strength, modulus of elasticity of the material, the coefficient of linear
expansion of the material. Defects, failures and optimization of structures due to
loading effects of the ambient. Computer modelling and numerical simulations
of static behaviour of the structures, stressed by loading effects of the ambient.
Kinematic Geometry
Kinematická geometrie
Doc. Ing. Jaromír Švígler, CSc.
Fundamentals of differential geometry of curves and surfaces. First and
second basic tensors and surface curvature tensor. Trochoid and envelope
surfaces. Important surfaces and their use in gear sets. Generation of
conjugated surfaces which create a higher kinematic pair in the plane and in the
space. Screw surfaces as a special case of general surfaces, their particular
properties and application. Utilization of trochoid and envelope screw surfaces
for screw machines, their theoretical and real contacts.
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Mathematical Modelling of Fluid Flow
Matematické modelování proudění tekutin
Doc. Ing. Jan Vimmr, Ph.D.
Finite volume formulation of modern numerical schemes for numerical
solution to in viscid and viscous laminar flow problems of compressible
Newtonian fluid. Basic characteristics of turbulent flow, numerical solution to
the system of Favre-averaged Navier-Stokes equations including an appropriate
turbulence model. Application to problems of internal and external
aerodynamics. Mathematical modelling of incompressible viscous fluids flow.
Application in biomechanics, e.g. modelling of cardiovascular problems.
Mechanics of Heterogeneous and Multiphasic Continua
Mechanika heterogenních a vícefázových kontinuí
Prof. Dr. Ing. Eduard Rohan, DSc.
The course is intended as an introduction to the continuum description of
heterogeneous materials consisting of interpenetrated solid and fluid phases.
Continuum models of such media are indispensable for solving engineering
problems in acoustics, tissue biomechanics, civil engineering and in
environmental multiphysics problems. Main topics: basics of the
phenomenological theory of porous multiphase media, volume fractions,
chemical potentials and effective stresses, development of balance equations
and constitutive laws; methods based on representing the microstructural
volume elements, averaging methods, homogenization method and twoscalemodelling. Methodology of numerical modelling for multiscale
computations.
Multibody Analysis, Synthesis and Optimization
Analýza, syntéza a optimalizace VMS
Matrix methods for the solution of kinematic relations of multibody
mechanical systems. Lower and higher kinematic pair transformation matrices.
Numerical kinematic analysis of mechanisms. Kinematic analysis of
mechanisms with higher kinematic pairs. Bezier-Berstein polynomials
application. Geometric-kinematic synthesis of multibody systems. Structural
equations of the geometrical and kinematic synthesis of lead and transmission
mechanisms, function generators. Synthesis as an optimization problem.
Accuracy and sensitivity of mechanisms and kinematic chains.
Modelling and Description of Microscopic Structures for Purposes of
Biomechanics and Nanomechanics
Modelování a popis mikrostruktur pro biomechaniku a nanomechaniku
Doc. Dr. RNDr. Miroslav Holeček
Fundamentals of the microcontinual description for the generation of
generalized continuum theories, basic principles of statistical description of
microstructures and general conditions of transition to macroscopic continuum
description (averaging). Illustrative examples of general thermodynamic
connections from biomechanics (modelling of living tissues starting with the
microscopic level) and nanomechanics (the Cauchy-Born rule).
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Multibody Mechanical Systems
Vázané mechanické systémy
Basic motion transformation matrix, point and body velocity and
acceleration. Matrix formulation of simultaneous body motion. Structure and
typology of multibody mechanical systems (MMS), structure description, vector
and matrix method of kinematic relations solution. Spatial MMS with lower and
higher kinematic pairs. Numerical solution of MMS kinematic relations.
Bivector, recursive method and mixed mode Lagrange´s equations application
in matrix methods for MMS dynamic analysis, numerical solution of motion
equations. MMS dynamic analysis considering body compliances and kinematic
pairs, kinematically driven systems.
Nonlinear Dynamic Systems and Chaos
Nelineární dynamické systémy a chaos
Prof. Ing. Josef Rosenberg, DrSc.
Nonlinear oscillators, introduction to the theory of dynamic systems, point
attractors and limit cycles in autonomous systems, bifurcations, Floquet theory,
method of multiple scales, quasiperiodic solutions, periodical and chaotic
attractors of excited oscillators, stability and bifurcations of iterative mapping,
deterministic chaos in discrete dynamic systems, types of transitions to chaos,
chaos in the Hamiltonian system, applications.
Non-linear Mechanics of Continuum
Nelineární mechanika kontinua
Classification and basic formulation of non-linear problems of continuum
mechanics. Conjugated measures of stress and strain. Lagrange´s formulation
of the continuum equilibrium in incremental form, basic characteristics of nonlinear continuum. Virtual work principle in Lagrange´s formulation, total and
actual. Lagrange´s formulation of non-linear problems. Constitutive relations of
non-linear continua. Velocity formulation of non-linear problems of continuum
mechanics. Non-linear continuum discretization by the finite element method,
numerical solution to non-linear equations in incremental form.
Reliability of Structures
Spolehlivost konstrukcí
Prof. Ing. Pavel Marek, CSc.
The reliability assessment of structures and their components including the
check and approval of their capacity to withstand the effects of all combinations
of loads expected during the entire service life to withstand cumulation of
damage (due to fatigue, corrosion, etc) and to meet all serviceability criteria.
The extreme combinations of the structure response to the loads. The safety
criterion of the structure and its elements defined by simple strength or stability
strength, stability of the position and fracture. The damage cumulation criterion
related to corrosion, fatigue and rheological properties of the material. The
various structural reliability assessment methods based on the deterministic
approach (e.g., Allowable Stress Design), on “prescriptive“ partial reliability
assessment factors based on FORM or SORM theoretical models (see, e.g.,
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Eurocode), or on the fully probabilistic approach (see, e.g., SBRA – “SimulationBased Reliability Method“). The application of the advanced probabilistic
method (SBRA) to the design of steel, concrete and wood structures.
Selected Chapters of Elasticity and Plasticity
Vybrané statě z pružnosti a plasticity
Mathematical modelling of linear-elastic continuum. Solutions to boundary
problems. Rotary symmetrical problems. Approximate numerical methods,
FEM, special elements. Solution to selected problems corresponding to the
Ph.D. student´s study orientation. Plasticity conditions, plasticity surface,
loading surface, theory of plasticity. Mathematical models of bodies in elasticplastic state. Numerical solution to boundary problems by FEM.
Statistical Mechanics
Statistická mechanika
Prof. Dr. Ing. Jan Dupal
Instruments of statistical mechanics. Random variable function moment
and characteristics. Random processes. Stationarity, time averages, ergodicity,
correlation, power spectrum, normal processes. Response of linear discrete and
continual systems to random excitation, statistical output characteristics of the
above mentioned systems with random structural parameters. Nonlinear
mechanical systems, statistical characteristics of nonlinear system outputs using
various linearization and Fokker-Planck-Kolmogorov equation. Random
process generating. Regression and identification of mechanical systems.
Damage determination and durability estimation.
Structural Optimization
Optimalizace konstrukcí
Prof. Dr. Ing. Eduard Rohan, DSc.
Criteria of the structural optimization and choice of design parameters.
Numerical methods in constrained extreme problems. Sensitivity analysis for
static and dynamic problems for continua, adjoint system method. Truss
optimization, optimal topology and geometry of structures. Shape optimization
of elastic and inelastic bodies, problem formulation and solution strategies,
contact shape optimization. Methods for optimal topology design of solids,
relaxation based on homogenization of microstructures. Free material
optimization, optimization of microstructures of composites, applications in
structural design, functionally graded materials. Optimization of conduits and
geometrical profiles in flow problems.
Theory of Gearing
Teorie ozubených převodů
Doc. Ing. Jaromír Švígler, CSc.
Gear sets as mechanisms with higher kinematic pairs, contact of tooth
surfaces, constant ratio condition, relative motion axoides, generation of
conjugated surfaces, point and curve contacts of conjugated surfaces. Transient
surface. Gearing sensitivity to bearing deformations. Kinematics of machines
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producing gearings. General theory application to the theory of spur gearing,
angle drive, worn-gear and hypoid gear. Interference of conjugated surfaces.
Theory of Vibration
Teorie kmitání
Prof. Ing. Vladimír Zeman, DrSc.
Mathematical models of discrete non-conservative linear systems,
classification, spectral and modal properties. Modal methods for dynamic
response investigation of rotating systems. Displacement response spectrum
method. Dynamic sensitivity analysis. Modelling of large non-conservative
systems by the modal synthesis method. Analytical methods for free and forced
vibration of one-dimensional continua. Classification of nonlinear systems,
modelling of nonlinearities and approximative analytical methods for
investigation of system vibration.
7.3 Department of Computer
Science and Engineering
Advanced Database Technology
Moderní databázové technologie
Prof. Ing. Karel Ježek, CSc.
Trends in database technology. Object oriented and object relational
databases. Data definition and data manipulation in ODMG standard and
SQL99 (SQL3). Distributed database systems – taxonomy, architecture,
problems of data fragmentation and fragments allocation, distributed
transactions. Active databases. Deductive database systems, Datalog. Principles
of temporal databases. Introduction to data mining and knowledge discovery.
Circuits and Systems for Computers
Obvody a systémy pro počítače
Doc. Ing. Vlastimil Vavřička, CSc.
Design and analysis of high performance digital integrated circuits, and
supporting design techniques, methodology, CAD tools, and circuit structures.
Speed, area, power dissipation, and reliability. Programmable logic (CPLD,
FPGA), design methodology, testability.
Component Models and Architectures
Komponentové modely a architektury
Doc. Ing. Přemysl Brada, MSc., Ph.D.
Component and component model definitions and variants. Fundamental
characteristics of components, their purpose and consequences. Component
contract, means of its description, models and formal notations. Component
composition, verification, deployment. Modeling and visualization of
component applications. Case studies and analyses of concrete component
models.
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Computational Geometry Algorithms and Applications
Algoritmy a aplikace výpočetní geometrie
Prof. Dr. Ing. Ivana Kolingerová
Selected algorithms of computational geometry, suitable, first of all, for
computer graphics and its applications, but also for other specializations in
which geometric objects need to be handled. Analysis and synthesis of
algorithms from the given area. Use of these algorithms in applications.
Examples of themes: data structures for geometrical objects modelling,
geometric search, convex hulls, triangulations, duality, motion planning,
robustness and effectivity of geometric algorithms.
Communication in Computer Systems and Networks
Komunikace v počítačových systémech a sítích
Ing. Jiří Ledvina, CSc.
Trends in network technology (high speed networks, wireless networks).
Quality of service in data networks. Virtual networks, mobile networks and
wireless networks. Modern Internet protocols, multimedia transmission
protocols, peer-to-peer networks. Network management protocols, network
security.
Computer Architectures
Architektury počítačů
Doc. Ing. Vlastimil Vavřička, CSc.
Specification, design and evaluation of parallel architectures/systems for
scientific, engineering as well as enterprise application domains.
Multiprocessors; coherence and memory models, implementing MPs, MP
synchronization. Pipelined CPU architecture. Instruction set design and
pipeline structure. Dynamic scheduling using score boarding and Tomasulo's
algorithm. Software instruction scheduling and software pipelining. Superscalar
and long-instruction-word architectures. Branch prediction and speculative
execution.
Computer Graphics and Visualization
Počítačová grafika, vizualizace dat a informací
Prof. Ing. Václav Skala, CSc.
Data structures, object modelling techniques, methods for objects
representation and manipulation in E3 geometric transformations,
fundamentals of projective geometry and geometry algebra, algorithm design
and verification in special computational architectures, scalar ad vector fields,
methods for technical, medical and information data processing for
visualization in E3 and in virtual collaborative environment.
Design of Algorithms for Computer Graphics
Návrh výpočetních algoritmů počítačové grafiky
Prof. Ing. Václav Skala, CSc.
Data and information representation in En, Euclidean and affine spaces,
stability and robustness of algorithms of computer graphics and visualization,
Algorithm design with respect to special architectures (CPU, GPU, CUDA, etc.).
Geometry algebra principles and usage in computer graphics and visualization
algorithm design.
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Digital Picture Processing Methods
Metody zpracování digitalizovaného obrazu
Ing. Pavel Nový, Ph.D.
The image processing methods for filtration, edge detection and restoration,
pattern recognition and extraction, informational analysis, picture models,
topology and morphology, computed tomography reconstruction technique,
computer vision systems for IR and X-ray spectrum.
Distributed Computing Systems
Distribuované výpočetní systémy
Ing. Jiří Ledvina, CSc.
Models and characteristics of distributed systems, inter-process
communication, reliable group communication. Distributed algorithms,
synchronization. Deadlock in distributed systems. Consistency. Transactions,
distributed transactions. Distributed shared memory. Distributed file systems
and their properties. Fault tolerance. Security in distributed systems.
Distributed systems examples. New trends in distributed systems development,
communication in distributed systems, distributed algorithm. Solving problems
of time synchronization, deadlock, data consisting, fault tolerance, and security.
Orientation to the distributed embedded systems.
Document Information Systems
Dokumentografické informační systémy
Doc. Dr. Ing. Jana Klečková
Document information systems, web databases, multimedia databases,
similarity search problem in multimedia databases , querying; uncertainty and
vagueness of information. The development of tools and databases for
management and sharing of data in other application area.
Distributed Computing
Distribuované výpočty
Prof. Ing. Jiří Šafařík, CSc.
Distributed computation independent of the underlying computing system.
Distributed algorithms for understanding computing systems in different areas,
e.g. information systems, scientific computing. Specification of their required
behaviour, correctness and performance. Problems of resource allocation, data
consistency, deadlock detection, leader election, causality and time, scheduling,
routing.
Fault-tolerant Computer Systems
Výpočetní systémy odolné proti poruchám
Doc. Ing. Stanislav Racek, CSc.
Models of ageing and reliability for computer parts and systems. Methods of
reliability prediction and evaluation for complex computer systems and nets.
Methods of fault tolerance implementation(fault masking, fault detection,
dynamic redundancy, SW implemented fault tolerance). Fault tolerant
distributed systems. Computer control systems for safety critical applications
(mission oriented, highly available) – principles of design and construction.
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Knowledge Based Systems and Knowledge Engineering
Znalostní inženýrství a znalostní systémy
Prof. Ing. Václav Matoušek, CSc.
Fundamentals of production systems; propositional and predicate calculus,
resolution refutation systems, rule-based deduction systems; logic
programming; knowledge representation and manipulation, inference systems,
reasoning under uncertainty; learning in knowledge based systems; knowledge
based systems in pattern recognition and natural language understanding.
Knowledge Extraction from Databases and Hypertext Data
Extrakce znalostí z databází a z hypertextových dat
Filtering and classification methods, supervised and unsupervised learning.
Clustering. Association analysis. Web search and information retrieval.
Preprocessing and indexing. Classic models for information retrieval.
Alternative algebraic and probabilistic models. Query evaluation. Query
Expansion. Matrix decompositions and latent semantic indexing. Web content
mining. Web content and structure mining.
Modelling of Computer System Performance and Reliability
Modelování výkonnosti a spolehlivosti výpočetních systémů
Doc. Ing. Stanislav Racek, CSc.
Probability based models of computer systems – Markov models, stochastic
Petri nets, evaluation nets. Discrete-time simulation models – principles of
constructions. Computer system performance and reliability prediction using
models of various types.
Modern Programming Styles and Methods
Moderní programovací styly a metody
Doc. Ing. Pavel Herout, Ph.D.
Object oriented analysis, design and implementation of large software
applications. Theory and practice of markup languages. Scripting languages.
Programming of embedded systems. Fail-safe and fault-tolerant software
applications.
Natural Language Human – Computer Interaction
Komunikace člověk – počítač v přirozeném jazyce
Prof. Ing. Václav Matoušek, CSc.
Basic concepts of natural language processing and understanding,
continuous and spontaneous speech recognition and speech synthesis system
architectures; natural language parsing methods, semantic interpretation and
internal representation, generating natural language; dialogue system
structures, principles of dialogue control, natural dialogue system design.
Nonlinguistic Aspects of Speech
Nonlingvistické aspekty řeči
Doc. Dr. Ing. Jana Klečková
Suprasegmental features of the sound design of language and speech.
Specific properties of prosodic phenomena; general principles of their
description for computer speech processing; design of databases. Current
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approaches to the phenomenological description of intonation (metric theory,
intonation systems). Application of the universal properties of speech
production and perception from the point of view of sound variability; coding of
the Czech pronunciation, speech samples. Possible application of nonverbal
communication in the continuous speech processing system. Multimodal
emotion recognition (facial expressions, linguistic and prosody analysis) and
expressivity analysis, gesture recognition.
Pattern Analysis and Understanding
Klasifikace a rozpoznávání objektů
Doc. Ing. Václav Matoušek, CSc.
Principal approach to pattern recognition, types of patterns, signal
representation and preprocessing, segmentation methods, classification
problem, general recognition strategies; data structures and databases for
patterns, main control structures and their implementation, knowledge and
learning in pattern recognition, learning concepts; neural net based recognition
methods and systems.
Semantic Web and Document Processing
Sémantický web a zpracování dokumentů
Models of text documents. Methods of text summarization. Words
disambiguation. Retrieval methods. Probabilistic retrieval. XML and XML
retrieval. Data models and semantic web query languages. Metadata and
ontologies. Ontology development methods. Domain and Linguistic Ontology.
Ontology languages. Semantic web reasoning.
Specification and Design of Concurrent Systems
Specifikace a návrh souběžných (paralelních) systémů
Prof. Ing. Jiří Šafařík, CSc.
Systematic approach to specification, verification and design of concurrent
processes. Basic concepts based on corresponding mathematical abstraction.
Rules for proving that process implementation meets its specification. System
composed of concurrent processes communicating with each other and their
environment. Selected areas from program logic, temporal logic, CSP
(Communicating Sequential Processes), CSS (Calculus of Communicating
Systems), and μ-calculus .
Theory of Information and Economic Data Analysis
Teorie informace a analýza ekonomických dat
Information, entropy, mutual information, investment theory and betting,
decision making, parametrical estimation, non-parametrical and parametrical
models, risk as a process analysis.
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7.4 Department of Cybernetics
Adaptive Systems
Adaptivní systémy
Prof. Ing. Miroslav Šimandl, CSc.
The course deals with adaptive control systems and adaptive signal
processing systems based on a running system identification. These systems are
applied in decision making, control and signal processing under uncertainty.
Main topics: self-tuning controllers and reference-model control, dual control,
intelligent adaptive control, adaptive systems with implicit and explicit
identification, adaptive prediction and filtering.
Artificial Intelligence
Umělá inteligence
Doc. Dr. Ing. Vlasta Radová
Problem solving, problem solving by searching, informed search.
Adversarial search, games. Knowledge and reasoning, knowledge
representation, logical agents. Uncertain knowledge and reasoning. Learning,
learning from observation, statistical learning methods, reinforcement learning,
knowledge in learning. Planning, planning in the real word. Perception.
Artificial intelligence in robotics.
Computer Speech Synthesis
Počítačová syntéza řeči
Doc. Ing. Jindřich Matoušek, Ph.D.
Phonetics and phonology, phonetic inventories, phonetic transcription,
prosody. History of speech synthesis, source-filter theory. Formant, articulation
and concatenative speech synthesis. Corpus-based speech synthesis, unit
selection synthesis. Methods for prosodic and spectral modifications, sinusoidal
and LP synthesis, PSOLA and its modifications. Text-to-speech synthesis, text
processing, prosody generation. Evaluation of speech synthesis quality,
intelligibility and naturalness tests.
Computer Vision
Počítačové vidění
Doc. Ing. Miloš Železný, Ph.D.
Contactless measurement based on processing of visual information.
Overview of hardware for image acquisition. Image data formats, transmission
and compression. Definition of computer vision, aims, terminology. Digital
image processing. Description of objects, phenomena, scene. Recognition,
motion analysis, three-dimensional vision. Applications of computer vision in
the domain of human-computer interaction, technical diagnostics, medical
vision, remote sensing.
42
Decentralized and Hierarchical Control of Multivariable Systems
Decentralizované a hierarchické řízení vícerozměrových systémů
Doc. Ing. Jiří Melichar, CSc.
Multivariable systems, centralized and decentralized control. Interactive
and non-interactive multi-loop control. Design of decoupling controllers.
Diagonal dominance and pseudodiagonalization of transfer function matrix.
Decentralized control and stabilization of large-scale systems with local static
and dynamic controllers. Decentralized fixed modes. Multi-level hierarchical
control. Model and goal coordination methods. Static and dynamic optimization
in two-level hierarchical control.
Diagnostics and Decision-making
Diagnostika a rozhodování
Doc. Ing. Luděk Müller Ph.D.
The statistical decision problem, statistical modelling and classification.
Artificial intelligence methods appropriate for diagnostics – informative
features extraction and selection, pattern recognition, decoding. Engineering
approach to the implementation of technical and medical diagnostic systems,
feasibility studies, implementation of diagnostic systems in industry. Examples
of technical and medical diagnostic systems.
Fault Detection
Detekce chyb
Fault detection is based on a fast and correct identification of such
behaviour of the monitored system that is considered inadmissible for the
required system functioning. Main topics: specification of fault detection or
change detection of monitored or controlled systems, detection quality
requirements, approaches based on signal processing, approaches based on
models, passive and active detection, optimal input signal, information
processing strategy.
Knowledge Based Systems
Znalostní systémy
Doc. Ing. Luděk Müller, Ph.D.
Knowledge-based and expert system architecture. Rule-based and framebased
systems.
Knowledge
representation;
inference
techniques,
nonmonotonic reasoning. Reasoning under uncertainty: Bayesian approach,
certainty theory, fuzzy-logic, Dempster-Shafer theory. Knowledge
acquisition. Inductive knowledge-based systems. Knowledge-based system
development.
Model Based Predictive Control
Prediktivní řízení
Prof. Ing. Miloš Schlegel, CSc.
The model predictive control (MPC) strategy yields the optimization of a
performance index with respect to some future control sequence, using
predictions of the output signal based on a process model. The course presents
an overview of the most important predictive control strategies, the theoretical
aspects as well as the practical implications. Hands-on experience is gained
through Matlab/Simulink simulation exercises.
43
Multiagent Systems
Multiagentní systémy
Ing. Petr Bečvář, Ph.D.
Definition of agent, holon and multiagent system. Agent interaction models,
task and data distribution, ontologies, agent inaccessibility. Multiagent
platforms (JADE, A-globe) and standards (XML, FIPA, OWL, Web Services).
Common applications (simulation, planning, control, CIM, virtual
organizations, web agents).
Natural Language Processing
Zpracování přirozeného jazyka
Ing. Pavel Ircing, Ph.D.
The subject concerns basic methods of natural language processing,
especially in connection with automatic speech recognition. Attention will be
paid mainly to text normalization, statistical language modelling, clustering of
words into classes and morphological tagging. Fundamentals of the information
retrieval methods will also be introduced, again with emphasis on speech
retrieval.
Neural Networks
Neuronové sítě
Doc. Dr. Ing. Vlasta Radová
Multilayer networks. Probabilistic neural networks. Adaptive-structure
neural networks. Evolutionary algorithms. Recurrent networks. Algorithms for
neural networks learning. Supervised learning, unsupervised learning.
Algorithm backpropagation, modifications. Complexity of learning,
generalization. Neural networks application. Neural networks for signal
processing. Neural networks for pattern recognition.
Nonlinear Filtering
Nelineární filtrace
The course deals with the state estimation problem of linear and especially
nonlinear stochastic systems. The estimation methods are applied in e.g.
automatic control, tracking, navigation, fault detection, signal processing. Main
topics: Bayesian approach, Kalman filtering, derivative-free filters, Gaussian
sum method, sequential Monte Carlo method, point mass method, Cramér-Rao
bound, continuous systems with discrete measurements.
Optimal Stochastic Control
Optimální stochastické řízení
Doc. Ing. Jiří Mošna, CSc.
Introduction to the theory of optimal control of dynamic systems. Review of
static optimization. Deterministic dynamic optimization, design of time and
linear-quadratic optimal automatic control systems. Design of optimal
stochastic automatic control system. Matrix games and their solution.
44
Pattern Recognition
Rozpoznávání obrazů
Prof.Ing. Josef Psutka, CSc.
Pattern recognition systems, introduction. Bayes decision theory, parameter
estimation. Linear discriminant function, perceptron, support vector machine
(SVM). Nonparametric classifiers. Context dependent classifiers, DTW, Markov
models, Viterbi algorithm. Decision trees, classification and regression trees
(CART), pruning. Unsupervised learning (clustering). Sequential and
hierarchical clustering algorithms. Optimization techniques, K-means, Isodata.
Extraction and selection of information features, feature decorrelation.
Queuing Theory
Systémy hromadné obsluhy
Doc. Ing. Jiří Mošna, CSc.
Classification of queueing networks. Open single server system, basic model
and its analysis; average queue length, average queueing time. Extension to
multiple server systems and queueing systems with finite queue capacity. Closed
queuing systems. Throughput, saturation point. Some special queueing systems,
e.g. systems with priorities, group arrivals. Queueing networks: analysis in
steady-state. Simulation techniques.
Robust Control of Linear Systems
Robustní řízení lineárních systémů
Prof. Ing. Miloš Schlegel, CSc.
Robust control is a control which fulfills design specifications not only for a
nominal system but also for a whole, exactly defined, family of controlled
systems. Model uncertainty and robustness have been central topics in the
development of automatic control. First, an elementary explanation of these
notions is given. Further, some basic methods (robust regions, robust pole
placement, H-infinity) for the design of robust controllers are presented.
Signal Processing
Zpracování signálů
Prof. Ing. Josef Psutka, CSc.
Sampling and reconstruction. Sampling theorem, quantization, D/A and
A/D conventors. Discrete Fourier Transform, DFT and FFT algorithms, inverse
DFT, FIR and IIR filters, windowing. Power spectrum. z-Transform. Speech
signal processing, processing in time and frequency domains. Linear predictive
analysis, Homomorphic signal processing, speech parameterization techniques,
vector quantization, additive noise and convolutional distortion reduction.
Information features extraction; NPS, PCA, LDA, HLDA transformations.
Spoken Language Processing
Počítačové zpracování mluveného jazyka
Doc. Ing. Luděk Müller, Ph.D.
Theory, algorithms and development of systems for human-machine
communication. Statistical methods of speech recognition and understanding.
Speech coding and processing. Acoustic and language models. Speech decoding.
Large vocabulary continuous speech recognition. Robust speech recognition,
adaptation. Speech synthesis. Speaker identification and verification. Voice
dialogue systems control and development. Corpus collection.
45
Stochastic Models of Utility Networks
Stochastické modely energetických sítí.
Doc. Ing. Eduard Janeček, CSc.
Analogy between electric power, gas and water-supply networks.
Generalized stochastic loop current methods. The matrix and recursive
stochastic model of tree structure network. Stochastic models of circle networks.
Class parameters estimation of stochastic load models using customer
consumption measurement and aggregate measurement in supply nodes.
Estimation of network quantities and losses, VaR values.
System Identification
Identifikace systémů
The aim of system identification is to find a mathematical model using
experimental data. Identification is an alternative to mathematical modelling,
which is based on physical laws. Main topics: system, model structure,
experimental conditions, identification methods, parametric models, stochastic
model of uncertainty, linear and nonlinear parameter estimation, unbiased
estimation.
Time-frequency Signal Processing for Diagnostics
Časo-frekvenční zpracování signálu pro diagnostiku
Doc. Ing. Eduard Janeček, CSc.
Sensors for detection of events . Methods for detection of events in
stationary signals. Statistic characteristics, effective value, complex spectrum.
Methods for detection of events with strong resonance background noise.
Normed time-frequency spectrum. Hilbert transform, spectrum of envelope,
complex analytic signal. Hilbert-Huang transform, IMF decomposition. Kalman
filter with resonance modules.
7.5
Department of Physics
Film Deposition and Surface Modification by Plasma Techniques
Plazmové technologie pro depozici vrstev a modifikaci povrchů
Prof. Ing. Jindřich Musil, DrSc.
Plasma techniques for film deposition and modification of material surfaces.
Role of plasma and ion-stimulated processes in surface engineering. Physical
and chemical principles of film growth and surface modification. Structure of
films with the required properties. New trends in the field of deposition
technologies and thin-film materials.
Physics of Discharge Plasmas
Fyzika výbojového plazmatu
Prof. RNDr. Jaroslav Vlček, CSc.
Basic plasma equations. Elastic and inelastic collisions. Motion of charged
particles and propagation of electromagnetic waves in a plasma. Diffusion and
transport of particles. Low-temperature plasma diagnostics. Particle and energy
balance in discharges. DC glow discharges. High-frequency discharges with
46
capacitive and inductive coupling. Microwave discharges. Interaction of ions
with solid state surfaces.
Physics of Surface Layers and Their Characterization
Fyzika povrchových vrstev a jejich charakterizace
Prof. RNDr. Jaroslav Fiala, CSc.
Chemical bonding. Electronic and atomic structure at interfaces,
dislocations at interfaces, thermodynamics of interfaces. Adsorption.
Paracrystallinity and quasicrystallinity at grain boundaries. Two-dimensional
structures. Epitaxy, endotaxy and topotaxy. Analytical techniques classification.
Spectroscopical methods. Microscopy. Microanalysis. Diffraction and
channelling. Thermal analysis. Image analysis. Tomography and topography.
47
8 Study Department
and Dean´s Office
R&D and Ph.D. Study Administrator
Ing. Jaroslav Toninger
Office hours:
Dean
Vice-Dean
Doc. RNDr. Miroslav Lávička, Ph.D.
tel.: 377 63 2012
e-mail: [email protected]
tel.: 377 63 2000
Po
St
Pá
9:00 – 11:30
9:00 – 11:30
9:00 – 11:30
tel.: 377 63 2619
9 Information Sources
FAV websites - section Doctoral study:
Websites for applicants:
http://www.fav.zcu.cz/en/study/
http://www.fav.zcu.cz
(czech)
IS STAG:
http://www.stag.zcu.cz/
(czech)
Portál ZČU:
http://www.portal.zcu.cz/
(czech)
Bursaries
http://www.fav.zcu.cz
Accommodation bursary:http://ubytstip.zcu.cz/
Social bursary:http://socstip.zcu.cz/
48
(czech)
(czech)
(czech)

3.2 Applied Mechanics - Fakulta aplikovaných věd

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