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portada Perturbation Methods Using Backward Error
Type
Physical Book
Publisher
Author
Collection
Mathematical Modeling and Computation
Year
2026
Language
English
Pages
414
Format
Paperback
ISBN13
9781611978858

Perturbation Methods Using Backward Error

Robert M. Corless;Nicolas Fillion (Author) · SIAM - Society for Industrial and Applied Mathematics · Paperback

Perturbation Methods Using Backward Error - Robert M. Corless;Nicolas Fillion

New Book Imported to South Africa
Delivery: 29 Oct - 06 Nov Shipping: 13 to 14 business days.
R 1,838
R 1,838

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Synopsis "Perturbation Methods Using Backward Error"

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.

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