Course detail

Computer support of numerical methods

FAST-CA91Acad. year: 2024/2025

MATLAB environment, fundamentals of programming language. Applications: numerical analysis of linear and nonlinear algebraic equations and their systems, interpolation and approximation of real functions, least squares method, effective solution of differential equations using finite difference and finite element methods.

Language of instruction

Czech

Mode of study

Not applicable.

Guarantor

prof. Ing. Jiří Vala, CSc.

Department

Institute of Mathematics and Descriptive Geometry (MAT)

Entry knowledge

Basic courses of mathematics for Bc. degree BA06, BA07, BA02, BA04. Simultaneous study of some of the following courses: CA01, CA02, CA04, CA06.

Rules for evaluation and completion of the course

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Aims

Application of software MATLAB to the analysis of problems of numerical mathematics. Facultative upgrade of courses CA01, CA02, CA04 and CA06. At least 10 students required.
Competence to analyze computational problems of engineering practice
using MATLAB-supported advanced numerical methods.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Stanoyevitch A.: Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB. Wiley-Interscience, 2005. (EN)

Recommended reading

Karban P.: Výpočty a simulace v programech MATLAB a SIMULINK. Computer Press, 2006. (CS)

Type of course unit

 

Exercise

26 hod., compulsory

Teacher / Lecturer

prof. Ing. Jiří Vala, CSc.

Syllabus

1.-4. Fundamantals of MATLAB environment and programming language. 5.-7. Numerical analysis of algebraic equations and their systems. 8.-10. Interpolation and approximation of functions. 11.-13. Numerical analysis of differential equations.