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book: Numerische Verfahren
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Numerische Verfahren

zur Lösung großer linearer Gleichungssysteme
Language: German
Published/Copyright: 2019
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About this book

The book creates a bridge between abstract mathematical theory and its practical implementation. It presents the mathematical foundations for the processes in easily understandable form, building only on a few elements of basic mathematical knowledge that belong in the engineer’s basic toolkit. The examples are processed using C++, and the book includes extensive listings in C++ source code.

Anwendungsorientiert, ohne mathematischen Ballast, einfach erklärt

Author / Editor information

Ulrich Grebhofer, Bochum

Topics

  • Publicly Available

    Frontmatter

    I
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  • Publicly Available

    Vorwort

    VII
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  • Publicly Available

    Inhalt

    XI
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  • Publicly Available

    Nomenklatur

    XIII
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    1. Vektorräume und der Krylov-Raum als Spezialfall

    1
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    2. Lösung einer linearen Matrizengleichung als Optimierungsaufgabe

    3
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    3. Basissysteme in Krylov-Unterräumen

    7
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    4. Lösung einer linearen Matrizengleichung mit direkten Verfahren

    19
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    5. Lösung einer linearen Matrizengleichung mit Krylov-Unterraum-Verfahren

    37
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    6. Lösung einer linearen Matrizengleichung mit der Splitting-Methode

    67
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    7. Konvergenzverhalten von iterativen Lösungsverfahren

    71
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    8. Präkonditionierung

    89
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    9. Vergleich der Verfahren

    103
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    10. Spezielle Problemlösungen

    115
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    11. Funktionsbibliothek in C++

    129
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    Anhang

    183
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    Quellennachweise und Literaturverzeichnis

    187
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    Stichwortverzeichnis

    189
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
October 21, 2019
eBook ISBN:
9783110644173
Paperback published on:
October 21, 2019
Paperback ISBN:
9783110643626
Pages and Images/Illustrations in book
Front matter:
14
Main content:
190
Illustrations:
8
Tables:
15
https://doi.org/10.1515/9783110644173
eBook ISBN: 9783110644173
Paperback ISBN: 9783110643626
Keywords for this book
Numerical analysis; equation systems
Audience(s) for this book
Anwender, Praktiker, (Studierende)
Safety & product resources
Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
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