[Band] 2 Gewöhnliche Differentialgleichungen

Peter Deuflhard; Folkmar Bornemann

Published by De Gruyter 2008

[Band] 2 Gewöhnliche Differentialgleichungen

Numerical Mathematics 2. Ordinary Differential Equations

Peter Deuflhard and Folkmar Bornemann

Part of the multi-volume work Numerische Mathematik

In the series De Gruyter Lehrbuch

https://doi.org/10.1515/9783110203578

Overview
Contents

About this book

This textbook deals with the numerical solution of initial and boundary value problems for ordinary differential equations. It takes the reader directly to the practically proven methods – from their theoretical foundation via their analysis to questions of implementation. The textbook contains a wealth of exercises together with numerous application examples. Sections of this third edition have been revised and it has been supplemented with MATLAB codes.

Volume 2 of the standard work
Includes the initial and boundary value problems of ordinary differential equations
Elementary and clear presentation of the mathematical theory

Author / Editor information

Peter Deuflhard, Konrad-Zuse-Zentrum für Informationstechnik Berlin, Germany; Folkmar Bornemann, Technische Universität München, Munich, Germany.

Reviews

"This is an excellent and timely book."
Martin Hermann in: Mathematical Reviews 2010e

Topics

Frontmatter Requires Authentication Unlicensed Licensed Download PDF	i
Inhaltsverzeichnis Requires Authentication Unlicensed Licensed Download PDF	ix
Überblick Requires Authentication Unlicensed Licensed Download PDF	1
1 Zeitabhängige Prozesse in Natur und Technik Requires Authentication Unlicensed Licensed Download PDF	7
2 Existenz und Eindeutigkeit bei Anfangswertproblemen Requires Authentication Unlicensed Licensed Download PDF	40
3 Kondition von Anfangswertproblemen Requires Authentication Unlicensed Licensed Download PDF	83
4 Einschrittverfahren für nichtsteife Anfangswertprobleme Requires Authentication Unlicensed Licensed Download PDF	128
5 Adaptive Steuerung von Einschrittverfahren Requires Authentication Unlicensed Licensed Download PDF	199
6 Einschrittverfahren für steife und differentiell-algebraische Anfangswertprobleme Requires Authentication Unlicensed Licensed Download PDF	228
7 Mehrschrittverfahren für Anfangswertprobleme Requires Authentication Unlicensed Licensed Download PDF	323
8 Randwertprobleme bei gewöhnlichen Differentialgleichungen Requires Authentication Unlicensed Licensed Download PDF	401
Backmatter Requires Authentication Unlicensed Licensed Download PDF	477

(Deutsch)

Language: German
Publisher: De Gruyter
Edition: 3rd rev. ed.
Audience: Students in Mathematics, Lecturers; Libraries
Pages
- Front matter: 12
- Main content: 499
Keywords: Numerical Method; Differential Equation; Initial Value Problem; Boundary Value Problem

eBook

Published: September 25, 2008
ISBN: 9783110203578

Hardcover

Published: July 29, 2008
ISBN: 9783110203561