Newton methods for nonlinear problems : affine invariance and adaptive algorithms
This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (algebraic systems) and in infinite dimension (ordinary and partial differential equations). Its focus is on local and global Newton methods for direct problems or Gauss-- Newton methods for inverse problems. The term 'affine invariance' means that the presented algorithms and their convergence analysis are invariant under one out of four subclasses of affine transformations of the problem to be solved. Compared to traditional textbooks, the distinguishing affine invariance approach leads to shorter theorems and proofs and permits the construction of fully adaptive algorithms. Lots of numerical illustrations, comparison tables, and exercises make the text useful in computational math classes. At the same time, the book opens many directions for possible future research.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
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9783540210993
3540210997
- Maße
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24 cm
- Umfang
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XII, 424 S.
- Sprache
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Englisch
- Anmerkungen
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graph. Darst.
Literaturverz. S. 405 - 415
- Erschienen in
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Springer series in computational mathematics ; 35
- Klassifikation
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Mathematik
- Schlagwort
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Nichtlineare algebraische Gleichung
Newton-Verfahren
Nichtlineare Differentialgleichung
Newton-Verfahren
- Ereignis
-
Veröffentlichung
- (wo)
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Berlin, Heidelberg, New York, Hong Kong, London, Milan, Paris, Tokyo
- (wer)
-
Springer
- (wann)
-
2004
- Urheber
- Inhaltsverzeichnis
- Rechteinformation
-
Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
- Letzte Aktualisierung
-
11.06.2025, 14:27 MESZ
Datenpartner
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Deuflhard, Peter
- Springer
Entstanden
- 2004
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