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Cover: 9783642238987 | Newton Methods for Nonlinear Problems | Peter Deuflhard | Taschenbuch
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Newton Methods for Nonlinear Problems
Affine Invariance and Adaptive Algorithms
Taschenbuch von Peter Deuflhard
Sprache: Englisch

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Beschreibung
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 mathematics classes. At the same time, the book opens many directions for possible future research.
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 mathematics classes. At the same time, the book opens many directions for possible future research.
Über den Autor
Peter Deuflhard is founder and head of the internationally renowned Zuse Institute Berlin (ZIB) and full professor of Numerical Analysis and Scientific Computing at the Free University of Berlin. He is a regular invited speaker at international conferences and universities as well as industry places all over the world.
Details
Erscheinungsjahr: 2011
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Series in Computational Mathematics
Inhalt: xii
424 S.
49 s/w Illustr.
424 p. 49 illus.
ISBN-13: 9783642238987
ISBN-10: 364223898X
Sprache: Englisch
Herstellernummer: 80112537
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Deuflhard, Peter
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Springer Series in Computational Mathematics
Maße: 235 x 155 x 24 mm
Von/Mit: Peter Deuflhard
Erscheinungsdatum: 16.09.2011
Gewicht: 0,663 kg
Artikel-ID: 106830119
Über den Autor
Peter Deuflhard is founder and head of the internationally renowned Zuse Institute Berlin (ZIB) and full professor of Numerical Analysis and Scientific Computing at the Free University of Berlin. He is a regular invited speaker at international conferences and universities as well as industry places all over the world.
Details
Erscheinungsjahr: 2011
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Series in Computational Mathematics
Inhalt: xii
424 S.
49 s/w Illustr.
424 p. 49 illus.
ISBN-13: 9783642238987
ISBN-10: 364223898X
Sprache: Englisch
Herstellernummer: 80112537
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Deuflhard, Peter
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Springer Series in Computational Mathematics
Maße: 235 x 155 x 24 mm
Von/Mit: Peter Deuflhard
Erscheinungsdatum: 16.09.2011
Gewicht: 0,663 kg
Artikel-ID: 106830119
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