How to Cite

Rannacher, Rolf: Numerik 0: Einführung in die Numerische Mathematik, Heidelberg: Heidelberg University Publishing, 2017 (Lecture Notes). https://doi.org/10.17885/heiup.206.281

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This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Identifiers

https://doi.org/10.17885/heiup.206.281
ISBN 978-3-946054-27-6 (PDF)
ISBN 978-3-946054-30-6 (Softcover)

Published

04/26/2017

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Authors

Rolf Rannacher

Numerik 0

Einführung in die Numerische Mathematik

Lecture Notes

This introductory text is based on courses on “Numerical Mathematics” given by the author at Heidelberg University within a multi-semester cycle over a period of 25 years. The present first part covers fundamental concepts of numerical methods for solving ordinary analysis and linear algebra problems. Both theoretical and practical aspects are considered. The understanding of the contents requires only that prior knowledge as is usually provided in the basic Analysis and Linear Algebra courses. For facilitating self-learning the book contains theoretical and practical exercises with solutions.

Rolf Rannacher, retired Professor of Numerical Mathematics at Heidelberg University – study of Mathematics at the University of Frankfurt/Main, doctorate 1974, postdoctorate 1978 at Bonn University – 1979/1980 Vis. Assoc. Professor at the University of Michigan (Ann Arbor, USA), thereafter Professor at Erlangen and Saarbrücken, in Heidelberg since 1988 -- field of interest "Numerics of Partial Differential Equations", especially the "Finite Element Method" and its applications in the Natural Sciences and Engeneering; more than 160 scientific publications.

Chapters

Table of Contents
Pages
PDF
Titelei
Inhaltsverzeichnis
v–viii
Literaturverzeichnis
ix
Einleitung
1–3
Kapitel 1: Fehleranalyse
5–21
Kapitel 2: Interpolation und Approximation
23–76
Kapitel 3: Numerische Integration
77–97
Kapitel 4: Lineare Gleichungssysteme I (Direkte Verfahren)
99–151
Kapitel 5: Nichtlineare Gleichungen
153–183
Kapitel 6: Lineare Gleichungssysteme II (Iterative Verfahren)
185–219
Kapitel 7: Eigenwertaufgaben
221–246
Kapitel 8: Lineare Optimierung
247–263
Kapitel A: Lösungen der Übungsaufgaben
265–347
Index
348–352

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