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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 problem...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2011.
|
| Edición: | 1st ed. 2011. |
| Colección: | Springer Series in Computational Mathematics,
35 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-642-23899-4 | ||
| 003 | DE-He213 | ||
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| 100 | 1 | |a Deuflhard, Peter. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Newton Methods for Nonlinear Problems |h [electronic resource] : |b Affine Invariance and Adaptive Algorithms / |c by Peter Deuflhard. |
| 250 | |a 1st ed. 2011. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2011. | |
| 300 | |a XII, 424 p. 49 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Springer Series in Computational Mathematics, |x 2198-3712 ; |v 35 | |
| 520 | |a 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. | ||
| 650 | 0 | |a Mathematics-Data processing. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Engineering mathematics. | |
| 650 | 0 | |a Engineering-Data processing. | |
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Computer science-Mathematics. | |
| 650 | 1 | 4 | |a Computational Mathematics and Numerical Analysis. |
| 650 | 2 | 4 | |a Computational Science and Engineering. |
| 650 | 2 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Mathematical and Computational Engineering Applications. |
| 650 | 2 | 4 | |a Optimization. |
| 650 | 2 | 4 | |a Mathematical Applications in Computer Science. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642239007 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642238987 |
| 830 | 0 | |a Springer Series in Computational Mathematics, |x 2198-3712 ; |v 35 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-23899-4 |z Texto Completo |
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| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||