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401-0663-00L 7 Credits BSC , MSC D-INFK , D-BSSE

Numerical Methods for Computer Science

Lecturers & Examiners: Dr. Vasile Catrinel Gradinaru
VVZ CR 2.66

Last Updated: 2026-07-21 00:36:48

Abstract

The course gives an introduction into fundamental techniques and algorithms of numerical mathematics which play a central role in numerical simulations in science and technology. The course focuses on fundamental ideas and algorithmic aspects of numerical methods. The exercises involve actual implementation of numerical methods in python.

Objective

* Knowledge of the fundamental algorithms in numerical mathematics * Knowledge of the essential terms in numerical mathematics and the techniques used for the analysis of numerical algorithms * Ability to choose the appropriate numerical method for concrete problems * Ability to interpret numerical results * Ability to implement numerical algorithms efficiently

Content

1. Computing with Matrices and Vectors in numpy and scipy 2. Polynomial Interpolation 3. Trigonometric Interpolation, DFT, FFT 4. Piecewise Polynomial Interpolation 5. Quadrature 6. Iterative Methods for Nonlinear Systems of Equations 7. Fondation of Numerical Linear Algebra 8. Direct Methods for Linear Least-Squares 9. Nonlinear Least-Squares

Resources

Lecture Notes

Important: python + numpy+ scipy + matplotlib + sympy = learning by doing. Please consult before the start:https://lec.inf.ethz.ch/tutorials/cpp-to-pyandhttp://www.scipy-lectures.orgLecture materials (PDF documents and codes) will be made available to the participants through the course web page and online repositories. Access information will be communicated in the beginning of the course.

Literature

W. Dahmen, A. Reusken "Numerik für Ingenieure und Naturwissenschaftler", Springer 2006. W. Gander, M.J. Gander, and F. Kwok "Scientific Computing", Springer 2014. M. Hanke-Bourgeois "Grundlagen der Numerischen Mathematik und des wissenschaftlichen Rechnens", BG Teubner, 2002 P. Deuflhard and A. Hohmann, "Numerische Mathematik I", DeGruyter, 2002

General Information

Language
English
Levels
BSC , MSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
written 180 minutes
Aids
Keine.
Digital
The exam takes place on devices provided by ETH Zurich.
Die wöchentlichen Übungen (einschließlich Multiple Choice) sind wichtig. Es werden Lernelemente angeboten. Der Notenbonus von 0.25 Notenpunkten wird gewährt, wenn mehr als 75% der insgesamt verfügbaren „Semesterpunkte“ erreicht werden.

Course Components

Type Title Time & Place Hours
lecture Numerical Methods for Computer Science
FRAGE: mit Videoübertragung?
No time listed 4 h weekly
exercise Numerical Methods for Computer Science
Mo 10-12 oder Mo 14-16
No time listed 2 h weekly

Offered In