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401-0654-00L 4 Credits BSC D-MATL , D-ITET
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Numerical Methods

Numerische Methoden

Lecturers & Examiners: Prof. em. Dr. Martin Gutknecht
VVZ CR 3.6

Last Updated: 2026-02-05 15:20:00

Abstract

The course introduces numerical methods according to the type of problem they tackle. The tutorials will include both theoretical exercises and practical tasks. The latter will mainly make use of the numerical programming language MATLAB.Prerequisite is familiarity with basic calculus and linear algebra.

Objective

This course intends to introduce students to fundamental numerical methods that form the foundation of numerical simulation in engineering. Students are to understand the principles of numerical methods, 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

Scalar nonlinear equations and systems of equations, linear systems of equations, least-squares problems, eigenvalue problems, SVD. Interpolation, approximation, initial value problems for ordinary differential equations. Computer arithmetic, rounding errors, error propagation.

Resources

Lecture Notes

Copies of the slides of the course of Prof. J. Waldvogel.

Literature

M. Hanke Bourgeois: Grundlagen der Numerischen Mathematik und des Wissenschaftlichen Rechnens, BG Teubner, Stuttgart, 2002. H.-R. Schwarz, N. Koeckler: Numerische Mathematik, B.G. Teubner Verlag, 2004. Numerical Recipes: http://www.nr.com .

General Information

Language
German
Levels
BSC
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
Fr 8-9 für ITET Fr 9-10 für MATL
  • 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 08:45-09:30 (HPP G 3)
1 h weekly

Offered In