Jul 20, 2019   11:44 a.m. Iľja

# Course syllabus B1-NRDR - Numerical solutions of differential equations (FCE - SS 2018/2019)

Information sheet          ECTS          Syllabus

Slovak          English

University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: B1-NRDR
Course unit title: Numerical solutions of differential equations
Mode of delivery, planned learning activities and teaching methods:
 lecture 2 hours weekly (on-site method) seminar 2 hours weekly (on-site method)

Credits allocated: 5

Recommended semester/trimester: Mathematical and Computational Modeling - bachelor (compulsory), 4. semester
Level of study: 1.
Prerequisites for registration: passed Mathematical analysis 1 (B-MA1) and passed Mathematical analysis 2 (B-MA2) and passed Linear algebra 1 (B-LA1)

Assesment methods:
To complete successfully a test during semester, to finish an assignment at the end of semester, exam.

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.

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.

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.

Language of instruction: slovak or english

Notes:

Courses evaluation:
Assessed students in total: 30

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Name of lecturer(s): 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)

Last modification: 28. 2. 2019
Supervisor: doc. RNDr. Peter Frolkovič, PhD. and programme supervisor

Last modification made by Ing. Peter Korčák on 02/28/2019.

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