Modul: numeric mathematics

Modul no. :n/a
ECTS credits:5
Expenditure of time:54h contact time + 96h self study
Modul type:compulsory module
Duration:1 semester
Supervisor:Prof. Dr. rer. nat. H. Ortleb
Objectives:After completing the module, the students understand the fundamentals of the numerical solution of problems with the computer. They can qualitatively evaluate the numerical results of numerical algorithms. Basic numerical meth-ods can be performed both manually and with a computer and applied to scientific-technical problems. By the end of this course students understand the theory of algorithms such as LU and QR factorization, and are able to apply them for example to least squares calculations. They understand multi-step and Runge–Kutta methods for ordinary differential equations.
Contents:This lecture covers basic modules that are relevant to many engineering issues. These include number representation in the computer, condition and stability of algorithms, linear equation systems, LU and QR factorization of matrices, interpolation, least squares method, numerical integration and inte-gration of ordinary differential equations.
fast Fourier transformation
Applicability:Compulsory module for this course of studies and an elective module for other study paths.
Teaching methods:lecture, tutorial
Further information:[1] W. Dahmen, A. Reusken: Numerik für Ingenieure und Naturwissenschaftler, Springer-Verlag, 2008, ISBN-13 978-3-540-25544-4
[2] P.Deuflhard, A.Hohmann: Numerische Mathematik I: Eine algorithmisch orientierte Einführung, de Gruyter-Verlag Berlin u.a. 2002, ISBN 3-11-017182-1
[3] R.Schaback, H.Wendland: Numerische Mathematik, Springer-Verlag Berlin u.a. 2005, ISBN 3-540-21394-5
[4] G. Stoyan, A. Baran: Elementary Numerical Mathematics for Programmers and Engineers, Springer-Verlag Berlin u.a. 2016, ISBN:3-319-44659-2
Individual courses:numeric mathematics in semester 8