401-1652-10L  Numerical Analysis I

SemesterSpring Semester 2014
LecturersR. Hiptmair
Periodicityyearly recurring course
Language of instructionGerman


AbstractThis course will give an introduction to numerical methods, aimed at mathematics majors. It covers numerical linear algebra, quadrature, interpolation and approximation methods as well as their error analysis and implementation.
ObjectiveKnowledge of the fundamental numerical methods as well as numerical literacy.
ContentRoundoff error, solution of linear systems of equations, nonlinear equations,
interpolation (polynomial as well as trigonometric),
fast Fourier transformation, extrapolation, numerical quadrature, optimization methods.
Lecture notesLecture Notes and reading list will be available.
LiteratureQuarteroni, Sacco and Saleri, Numerische Mathematik 1 + 2, Springer Verlag 2002 (in German).

There is an English version of this text, containing both German volumes, from the same publisher. If you feel more comfortable with English, you can follow this text as well. Content and Indexing are identical in the German and the English text.