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Course syllabus 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 title: Partial differential equations
Course unit code: D1-PDR
Mode of completion and Number of ECTS credits: Exam-PhD (5 credits)
Name of lecturer: prof. RNDr. Karol Mikula, DrSc. (examiner, instructor, lecturer, person responsible for course, tutor) - slovak, english
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.
Prerequisites and co-requisites: none
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.

Planned learning activities and teaching methods: Type: seminar
Scope and method: 0/2 - 26 hours per semester (on-site method).
Assesment methods and criteria: exam
Language of instruction: Slovak, English
Work placement(s): There is no compulsory work placement in the course unit.

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

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