Jul 20, 2019   6:20 p.m. Iľja
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Course syllabus B1-NRDR - Numerical solutions of differential equations (FCE - SS 2018/2019)


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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit title: Numerical solutions of differential equations
Course unit code: B1-NRDR
Mode of completion and Number of ECTS credits: Exam (5 credits)
 
Name of lecturer: doc. RNDr. Peter Frolkovič, PhD. (examiner, instructor, lecturer, person responsible for course) - slovak, english
doc. RNDr. Angela Handlovičová, PhD. (examiner, instructor, lecturer) - slovak, english
doc. RNDr. Mária Minárová, PhD. (examiner, instructor, lecturer)
 
Learning outcomes of the course unit:
Student will gain knowledge on finite difference methods for the solution of initial and boundary value problems for differential equations in one and several dimensions, and on solvers for resulting algebraic equations. Student will be able to understand simple mathematical models and to solve them using finite difference methods by implementing them in software package Mathematica.
 
Prerequisites and co-requisites: passed Mathematical analysis 1 and passed Mathematical analysis 2 and passed Linear algebra 1
 
Course contents:
- Mathematical model in the form of differential equation and its numerical solution.
- Numerical methods for solution of initial value problems for systems of ordinary differential equations.
- Finite difference methods for solution of boundary value problems for elliptic equations.
- Finite difference methods for parabolic equations, time discretization, stability.
- Solvers for systems of algebraic equations.
 
Recommended or required reading:
Basic:
HANDLOVIČOVÁ, A. -- SCHIESSLOVÁ, H. Diferenčné metódy riešenia inžinierskych úloh. Bratislava : STU v Bratislave, 2007. 98 p. ISBN 978-80-227-2731-0.
LEVEQUE, R J. Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-Stade and Time-Dependent Problems. Philadephia : SIAM - Society for Industrial and Applied Mathematics, 2007. 341 p. ISBN 978-0-898716-29-0.

 
Planned learning activities and teaching methods: Lectures and seminars.
Scope and form: 2/2 - attendance, 52 hours per semester.
 
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 02/28/2019.

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