Newton Methods for Nonlinear Problems [recurso electrónico] : Affine Invariance and Adaptive Algorithms / by Peter Deuflhard.
Tipo de material:
TextoSeries Springer Series in Computational Mathematics ; 35Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Descripción: XII, 424p. 49 illus. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642238994Tema(s): Mathematics | Computer science | Differential Equations | Computer science -- Mathematics | Mathematical optimization | Engineering mathematics | Mathematics | Computational Mathematics and Numerical Analysis | Computational Science and Engineering | Ordinary Differential Equations | Appl.Mathematics/Computational Methods of Engineering | Optimization | Math Applications in Computer ScienceFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 518 | 518 Clasificación LoC:QA71-90Recursos en línea: Libro electrónico
En: Springer eBooksResumen: 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.
| Tipo de ítem | Biblioteca actual | Colección | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras |
|---|---|---|---|---|---|---|---|
| Libro Electrónico | Biblioteca Electrónica | Colección de Libros Electrónicos | QA71 -90 (Browse shelf(Abre debajo)) | 1 | No para préstamo | 376713-2001 |
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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