Jan 24, 2020   7:03 p.m. Timotej

# Course syllabus D1-PDR - Partial differential equations (FCE - 2018/2019 - post-graduate studies)

Information sheet          ECTS          Syllabus

Slovak          English

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.

Basic:
 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.

 Type of output: PDF output (PDF)Document RTF (RTF)XML format for IS (XML IL)