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

**ECTS**Syllabus

Slovak

**English**

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: | |||||

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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.*