Numerische Mathematik 1: Eine algorithmisch orientierte Einführung

Peter Deuflhard; Andreas Hohmann

Published by De Gruyter 2019

Numerische Mathematik 1

Eine algorithmisch orientierte Einführung

Numerical Analysis, Vol. 1: An Algorithm-Based Introduction

Peter Deuflhard and Andreas Hohmann

In the series De Gruyter Studium

https://doi.org/10.1515/9783110614329

Overview
Contents

About this book

Since the second edition, this work has become a widely praised classic in the German-speaking world. The essential concepts of numerical analysis of differential equations are presented through simple problems such as three-term recursions and numerical quadrature. Of particular note in the 5^th edition are current research findings on efficient polynomial interpolation, as developed by Trefethen et. al.

Ein Klassiker unter den Lehrbüchern!
Enthält Kapitel wie Verallgemeinerte Inverse oder Prinzip der Google-Suchmaschine, die in keinem anderen Numerik-Lehrbuch zu finden sind.
Neu in der 5. Auflage: Resultate zur effizienten Polynominterpolation.

Author / Editor information

Peter Deuflhard, Konrad-Zuse-Zentrum Berlin; Andreas Hohmann, USA.

Topics

Frontmatter Publicly Available Download PDF	I
Vorwort Publicly Available Download PDF	V
Inhalt Publicly Available Download PDF	IX
Überblick Requires Authentication Unlicensed Licensed Download PDF	1
1. Lineare Gleichungssysteme Requires Authentication Unlicensed Licensed Download PDF	3
2. Fehleranalyse Requires Authentication Unlicensed Licensed Download PDF	23
3. Lineare Ausgleichsprobleme Requires Authentication Unlicensed Licensed Download PDF	59
4. Nichtlineare Gleichungssysteme und Ausgleichsprobleme Requires Authentication Unlicensed Licensed Download PDF	83
5. Lineare Eigenwertprobleme Requires Authentication Unlicensed Licensed Download PDF	119
6. Drei-Term-Rekursionen Requires Authentication Unlicensed Licensed Download PDF	155
7. Interpolation und Approximation Requires Authentication Unlicensed Licensed Download PDF	183
8. Große symmetrische Gleichungssysteme und Eigenwertprobleme Requires Authentication Unlicensed Licensed Download PDF	241
9. Bestimmte Integrale Requires Authentication Unlicensed Licensed Download PDF	273
Software Requires Authentication Unlicensed Licensed Download PDF	335
Literatur Requires Authentication Unlicensed Licensed Download PDF	337
Stichwortverzeichnis Requires Authentication Unlicensed Licensed Download PDF	343

(Deutsch)

Language: German
Publisher: De Gruyter
Edition: 5th revised and expanded edition
Audience: Studierende der Mathematik und von rechnungsbasierten Studiengängen
Pages
- Front matter: 12
- Main content: 348
Illustrations
- Illustrations: 65
- Tables: 10
Keywords: Eigenvalue problem; integration; interpolation; linear equation; numerical analysis

eBook

Published: December 17, 2018
ISBN: 9783110614329

Paperback

Published: December 17, 2018
ISBN: 9783110614213