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Newton Methods for Nonlinear Problems / Affine Invariance and Adaptive Algorithms / Peter Deuflhard / Taschenbuch / Springer Series in Computational Mathematics / Paperback / XII / Englisch / 2011 - Deuflhard, Peter
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Newton Methods for Nonlinear Problems / Affine Invariance and Adaptive Algorithms / Peter Deuflhard / Taschenbuch / Springer Series in Computational Mathematics / Paperback / XII / Englisch / 2011 - Taschenbuch

2011, ISBN: 9783642238987

[ED: Taschenbuch], [PU: Springer Berlin], This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (alg… Mehr…

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Newton Methods for Nonlinear Problems | Affine Invariance and Adaptive Algorithms | Peter Deuflhard | Taschenbuch | Springer Series in Computational Mathematics | Paperback | XII | Englisch | 2011 - Deuflhard, Peter
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Newton Methods for Nonlinear Problems | Affine Invariance and Adaptive Algorithms | Peter Deuflhard | Taschenbuch | Springer Series in Computational Mathematics | Paperback | XII | Englisch | 2011 - Taschenbuch

2011, ISBN: 9783642238987

[ED: Taschenbuch], [PU: Springer Berlin], This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (alg… Mehr…

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Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms Peter Deuflhard Author - neues Buch

ISBN: 9783642238987

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Newton Methods for Nonlinear Problems - neues Buch

2011, ISBN: 364223898X

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 … Mehr…

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Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms - Taschenbuch

2011, ISBN: 9783642238987

Paperback, New., Contains: Illustrations, black & white. Springer Series in Computational Mathematics . XII, 424 p. 49 illus. Intended for professional and scholarly audience., Berlin, [P… Mehr…

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Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms Peter Deuflhard Author
Autor:
Titel:
ISBN-Nummer:

9783642238987


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.

Detailangaben zum Buch - Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms Peter Deuflhard Author


EAN (ISBN-13): 9783642238987
ISBN (ISBN-10): 364223898X
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2011
Herausgeber: Springer Berlin Heidelberg Core >1
424 Seiten
Gewicht: 0,648 kg
Sprache: Englisch

Buch in der Datenbank seit 2007-10-30T12:05:47+01:00 (Berlin)
Detailseite zuletzt geändert am 2024-03-25T18:28:34+01:00 (Berlin)
ISBN/EAN: 9783642238987

ISBN - alternative Schreibweisen:
3-642-23898-X, 978-3-642-23898-7
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: deuflhard, peter
Titel des Buches: let newton, nonlinear mathematics, adaptiv, springer mathematics, newton methods for nonlinear problems affine invariance and adaptive algorithms

Daten vom Verlag:

Autor/in: Peter Deuflhard
Titel: Springer Series in Computational Mathematics; Newton Methods for Nonlinear Problems - Affine Invariance and Adaptive Algorithms
Verlag: Springer; Springer Berlin
424 Seiten
Erscheinungsjahr: 2011-09-16
Berlin; Heidelberg; DE
Gedruckt / Hergestellt in Niederlande.
Sprache: Englisch
80,24 € (DE)
82,49 € (AT)
88,50 CHF (CH)
POD
XII, 424 p. 49 illus.

BC; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Numerische Mathematik; Verstehen; Gauss-newton methods; Newton methods; affine invariance; continuation methods; differential equations; ordinary differential equations; Computational Mathematics and Numerical Analysis; Computational Science and Engineering; Differential Equations; Mathematical and Computational Engineering Applications; Optimization; Mathematical Applications in Computer Science; Differentialrechnung und -gleichungen; Mathematik für Ingenieure; Optimierung; Theoretische Informatik; EA

From the reviews:

“This monograph covers a multitude of Newton methods and presents the algorithms and their convergence analysis from the perspective of affine invariance, which has been the subject of research by the author since 1970. … The book is intended for graduate students of mathematics and computational science and also for researchers in the area of numerical analysis and scientific computing. … As a research monograph, the book not only assembles the current state of the art, but also points to future research prospects.” (Gudula Runger, ACM Computing Reviews, June, 2012)

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.


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