Perturbation methods using backward error /
"Perturbation methods are old but powerful, and they remain in widespread use. Rather than producing numbers or pictures, they yield formulas whose value depends on the skill of the person (or machine!) interpreting them. This unique book presents several classical methods for solving perturbat...
| Main Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
Philadelphia :
Society for Industrial and Applied Mathematics,
[2026]
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| Series: | Mathematical modeling and computation.
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| Subjects: |
| Summary: | "Perturbation methods are old but powerful, and they remain in widespread use. Rather than producing numbers or pictures, they yield formulas whose value depends on the skill of the person (or machine!) interpreting them. This unique book presents several classical methods for solving perturbation problems. To ensure a uniform presentation and more reliable, interpretable results, it consistently uses backward error analysis. This provides a systematic way to assess the validity of approximate solutions while encouraging the modeler to examine how small changes in the data or model affect the result. To support this, the book uses the concept of a condition number, familiar from numerical analysis"-- |
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| Physical Description: | xviii, 424 pages : illustrations (some color) ; 26 cm. |
| Bibliography: | Includes bibliographical references and indexes. |
| ISBN: | 1611978858 9781611978858 |