عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9783642238987
(Number (ISBN
9783642238994
NATIONAL BIBLIOGRAPHY NUMBER
Number
b506220
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Newton Methods for Nonlinear Problems
General Material Designation
[Book]
Other Title Information
Affine Invariance and Adaptive Algorithms /
First Statement of Responsibility
by Peter Deuflhard.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Berlin, Heidelberg :
Name of Publisher, Distributor, etc.
Springer Berlin Heidelberg,
Date of Publication, Distribution, etc.
2011.
SERIES
Series Title
Springer Series in Computational Mathematics,
Volume Designation
35
ISSN of Series
0179-3632 ;
SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9783642238987
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Computer science-- Mathematics.
Computer science.
Differential Equations.
Engineering mathematics.
Mathematical optimization.
Mathematics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Deuflhard, P., (Peter)
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190307160300.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
