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Sylabus predmetu D1-PDR - Partial differential equations (FCE - 2018/2019 - post-graduate studies)

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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: D1-PDR
Course unit title: Partial differential equations
Mode of delivery, planned learning activities and teaching methods:
workshop2 hours weekly / 26 hours per semester of study (on-site method)

Credits allocated: 5
Recommended semester/trimester: Applied Mathematics - doctoral (semi-compulsory), 1. year
Applied Mathematics (in english language) - doctoral (semi-compulsory), 1. year
Level of study: 3.
Prerequisites for registration: none
Assesment methods:
Correctly elaborated all the assignments, exam.
Learning outcomes of the course unit:
The student will become familiar with partial differential equations arisen in engineering applications as well as methods of their solution.
Course contents:
- Heat equation, equation of diffusion and flow in porous media.
- Advection equations and nonlinear hyperbolic systems.
- Equations of fluid dynamics.
- Geodetic boundary value problems and potential theory.
- Solving partial differential equations by analytical and numerical methods.
Recommended or required reading:
ARSENIN, V J. Matematická fyzika: Základné rovnice a špeciálne funkcie. Bratislava : Alfa, 1977. 429 p.
MÍKA, S. -- KUFNER, A. Parciální diferenciální rovnice I.. Stacionární rovnice. Praha : SNTL, 1983. 184 p.
EWANS, L. Partial differential equations. Providence: American Math, 1998.
REDDY, J N. An introduction to the finite element method. New York : McGraw-Hill, 1993. 684 p. ISBN 0-07-112799-2.
BRENNER, S C. -- SCOTT, L. The mathematical theory of finite element methods. New York : Springer Verlag, 2002. 361 p. ISBN 0-387-95451-1.

Language of instruction: slovak and english or english
Courses evaluation:
Assessed students in total: 8

100,0 %0 %
Name of lecturer(s): prof. RNDr. Karol Mikula, DrSc. (examiner, instructor, lecturer, person responsible for course, tutor) - slovak, english
Last modification: 31. 8. 2015
Supervisor: prof. RNDr. Karol Mikula, DrSc. and programme supervisor

Last modification made by Ing. Peter Korčák on 08/31/2015.

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