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Advanced Numerical Schemes for Singular Perturbation Problems

Advanced Numerical Schemes for Singular Perturbation Problems

Paperback

General Mathematics

ISBN10: 6209317529
ISBN13: 9786209317521
Publisher: LAP Lambert Academic Publishing
Published: Dec 18 2025
Pages: 124
Weight: 0.39
Height: 0.29 Width: 6.00 Depth: 9.00
Language: English
This volume offers a comprehensive introduction, detailed exposition, and critical evaluation of numerical techniques designed to address singularly perturbed differential equations. Distinguished by the presence of boundary and interior layers-regions where solutions exhibit rapid variation under small perturbation parameters-these problems present unique analytical and computational challenges.Structured across four chapters, the book begins with a foundational discussion of singular perturbation theory, including essential definitions, conceptual motivations, and a critical survey of the literature that traces the historical development of the field. This opening framework establishes the context for subsequent chapters, which explore a range of numerical schemes and their practical application to diverse singular perturbation problems. By combining theoretical insights with methodological rigor, the text provides readers with both a solid grounding in the subject and a clear pathway to advanced computational approaches.

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General Mathematics