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401-0654-00L 4 Credits
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Numerical Methods

Numerische Methoden

Lecturers & Examiners: Prof. em. Dr. Rolf Jeltsch
VVZ CR 3.6

Last Updated: 2026-02-05 15:10:17

Abstract

The course introduces numerical methods according to the type of problemthey tackle. The tutorial will include both theoretical exercises andpractical tasks. The latter will mainly employ on the numerical programming languageMATLAB, some will have to be done in C.Prerequisite is familiarity with basic calculus and linear algebra.

Objective

This course intends to introduce to fundamental numerical methods that form the foundation of numerical simulation in engineering science. Participants should learn about classes of methods, should understand their principles and will be taught how to assess, implement, and apply them. During the course they will become familiar with basic techniques and concepts of numerical analysis. They should be enabled to select and adapt suitable numerical methods for a particular problem.

Content

Computer arithmetic, rounding error, error propagation, scalar equations, linear systems of equations, nonlinear systems of equations, interpolation, approximation, overdetermined systems, initial value problems for ordinary differential equations

Resources

Lecture Notes

Kein Skript

Literature

M. Hanke Bourgeois: Grundlagen der Numerischen Mathematik und des Wissenschaftlichen Rechnens, BG Teubner, Stuttgart, 2002 P. Deuflhard, A. Hohmann: Numerische Mathematik I. Eine algorithmisch orientierte Einfuehrung (3. Auflage), W deGruyter, Berlin, 2002 P. Deuflhard, F. Bornemann: Numerische Mathematik II. Gewoehnliche Differentialgleichungen (2. Auflage). W DeGruyter, Berlin 2002 Numerical recipes: http://www.nr.com/

General Information

Language
German
Frequency
Yearly recurring

Examination

Type
session examination
Mode
written 90 minutes
Aids
10 A4-Blätter doppelseitig (=20 Seiten) selbsterzeugte Notizen, nicht vernetzter Taschenrechner.

Course Components

Type Title Time & Place Hours
lecture Numerische Methoden
  • Mon 08:15-10:00 (ETF C 1)
2 h weekly
exercise Numerische Methoden
  • Fri 08:15-09:00 (ETF E 1)
  • Fri 08:15-09:00 (ETZ E 7)
  • Fri 08:15-09:00 (ETZ F 91)
  • Fri 08:15-09:00 (ETZ J 91)
  • Fri 08:15-09:00 (HG D 3.1)
  • Fri 08:15-09:00 (HG D 5.1)
  • Fri 08:15-09:00 (HG D 5.3)
  • Fri 08:15-09:00 (HG F 26.5)
  • Fri 08:15-09:00 (IFW B 42)
  • Fri 08:15-09:00 (LFW E 11)
1 h weekly

Offered In