Numerical Methods

Type of study	Doctoral
Language of instruction	English
Code	230-0265/02
Abbreviation	NM
Course title	Numerical Methods
Credits	10
Coordinating department	Department of Mathematics
Course coordinator	doc. Ing. Martin Čermák, Ph.D.

Subject syllabus

• Errors in numerical calculations
• Solution of systems of nonlinear equations - fixed point theorem, bisection, Newton's method
• Iterative solution of systems of linear equations - Jacobi, Gauss-Seidel, Richardson method and method of combined gradients, preconditions
• Find eigenvalues and eigenvectors of matrices
• Interpolation - polynomial, trigonometric, splines
• Approximation - least squares method, Chebyshev's approximation
• Numerical derivation and quadrature
• Numerical solution of initial value problems for ordinary differential equations.

E-learning

http://www.studopory.vsb.cz
http://mdg.vsb.cz
(in Czech language)

Literature

V. Vondrák, L. Pospíšil, Numerické metody 1. VŠB-TU Ostrava, http://mi21.vsb.cz/modul/numericke-metody-1
O. Steinbach, Numerische Mathematik 1. TU Graz, 2005.

Advised literature

L. Čermák, I. Růžičková, R. Hlavička, Numerické metody, VUT Brno, http://physics.ujep.cz/~jskvor/NME/DalsiSkripta/Numerika.pdf
A. Quarteroni, R. Sacco, F. Saleri, Numerical Mathematic, Springer-Verlag New Yourk, Inc. 2000.

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