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Numerik gewöhnlicher Differentialgleichungen
Anfangs- und Randwertprobleme
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Hans-Jürgen Reinhardt
Language:
German
Published/Copyright:
2008
About this book
This textbook presents an elementary introduction to the fundamental numerical methods for solving initial and boundary value problems for ordinary differential equations. Supplemental model examples as well as numerous theoretical and numerical exercises with hints for solution facilitate the study of the topics presented. A short paragraph provides the necessary background for the theory of ordinary differential equations.
Author / Editor information
Hans-Jürgen Reinhardt, Universität Siegen.
Topics
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Frontmatter
i -
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Inhaltsverzeichnis
vii -
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Kapitel 1 Einleitung: Beispiele und Anwendungen
1 - I Ein- und Mehrschrittverfahren zur numerischen Lösung von Anfangswertaufgaben
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Kapitel 2 Einschrittverfahren für Anfangswertprobleme
11 -
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Kapitel 3 Mehrschrittverfahren für Anfangswertaufgaben
73 - II Näherungsverfahren für Randwertprobleme
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Kapitel 4 Schießverfahren für Randwertprobleme
111 -
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Kapitel 5 Differenzenverfahren für Randwertprobleme
123 -
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Kapitel 6 Differenzenapproximationen für Randwertprobleme durch Variationsmethoden
148 -
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Kapitel 7 Kollokationsverfahren
168 -
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Kapitel 8 Adaptive Gitter für Randwertaufgaben gewöhnlicher Differentialgleichungen
175 -
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Backmatter
184
Publishing information
Pages and Images/Illustrations in book
eBook published on:
August 27, 2008
eBook ISBN:
9783110206791
Hardcover published on:
March 27, 2008
Hardcover ISBN:
9783110200331
Pages and Images/Illustrations in book
Front matter:
9
Main content:
281
Keywords for this book
Initial Value Problem; Ordinary Differential Equation; Numerical Mathematics; Boundary Value Problem
Audience(s) for this book
Students in Mathematics, Physics, Engineering; Academic Libraries
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
