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Springer Series in Computational Mathematics #35: Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms

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Springer Series in Computational Mathematics #35: Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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About the Author

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.

Product Details

ISBN:
9783642238987
Author:
Deuflhard, Peter
Publisher:
Springer
Subject:
Counting & Numeration
Subject:
Gauss-newton methods
Subject:
Newton methods
Subject:
affine invariance
Subject:
Continuation methods.
Subject:
Differential Equations
Subject:
Computational Mathematics and Numerical Analysis
Subject:
Computational science and engineering
Subject:
ordinary differential equations
Subject:
Appl.Mathematics/Computational Methods of Engineering
Subject:
OPTIMIZATION
Subject:
Math Applications in Computer Science
Subject:
Mathematics-Introduction
Copyright:
Edition Description:
2011
Series:
Springer Series in Computational Mathematics
Series Volume:
35
Publication Date:
20111128
Binding:
TRADE PAPER
Language:
English
Pages:
436
Dimensions:
235 x 155 mm

Related Subjects

Computers and Internet » Computers Reference » General
Computers and Internet » Personal Computers » General
Health and Self-Help » Health and Medicine » Medical Specialties
Science and Mathematics » Mathematics » Basics
Science and Mathematics » Mathematics » Computer
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Foundations and Logic
Science and Mathematics » Mathematics » Introduction

Springer Series in Computational Mathematics #35: Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms New Trade Paper
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Product details 436 pages Springer - English 9783642238987 Reviews:
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