Name: Perturbation Methods Using Backward Error (en Inglés)
SKU: 68879859
Price: 125.54 USD
Availability: InStock
Author: Robert M. Corless;Nicolas Fillion
ISBN: 9781611978858

portada Perturbation Methods Using Backward Error (en Inglés)

Perturbation Methods Using Backward Error (en Inglés)

Formato

Libro Físico

Editorial

SIAM - Society for Industrial and Applied Mathematics

Autor

Robert M. Corless;Nicolas Fillion

Colección

Mathematical Modeling and Computation

Año

2026

Idioma

Inglés

N° páginas

414

Encuadernación

Tapa Blanda

ISBN13

9781611978858

Perturbation Methods Using Backward Error (en Inglés)

Robert M. Corless;Nicolas Fillion (Autor) · SIAM - Society for Industrial and Applied Mathematics · Tapa Blanda

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Reseña del libro "Perturbation Methods Using Backward Error (en Inglés)"

Unique perspective on perturbation theory unites time-honored techniques with backward error analysis to uniformly validate solutions. Emphasizing model sensitivity via condition numbers, it delves into renormalization group methods, harnesses Maple for symbolic computation, and equips readers with practical exercise solutions.

Perturbation methods are old and powerful. Solutions are provided as formulas rather than numbers or pictures, so the skill of the person (or machine!) reading the formula is essential.

This unique book presents several classical methods to solve perturbation problems using backward error analysis. This lessens the likelihood of blunders because the method for testing the validity of the answers is uniform. It also demands that the modeler consider the effects of other changes to the data or model equations. For this the concept of a condition number from numerical analysis is used.
Perturbation Methods Using Backward Error includesincludes a discussion of the impact on science of the idea of perturbation,includes a chapter on the relatively novel renormalization group method,uses computer algebra (via Maple) to ease the computing of symbolic answers, andprovides solutions to all exercises.