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Analysis of Numerical Schemes to Singular Perturbation Problems by Srinivas, Erla

Analysis of Numerical Schemes to Singular Perturbation Problems

by Erla Srinivas , Kolloju Phaneendra
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Book cover type: Paperback
  • ISBN13: 9783330048409
  • Binding: Paperback
  • Subject: N/A
  • Publisher: LAP Lambert Academic Publishing
  • Publisher Imprint: LAP Lambert Academic Publishing
  • Publication Date:
  • Pages: 104
  • Original Price: GBP 52.98
  • Language: English
  • Edition: N/A
  • Item Weight: 150 grams
  • BISAC Subject(s): General

The primary goal of this book is to present, evaluate, and analyze efficient numerical methods for solving a specific class of singularly perturbed differential equations characterized by boundary and interior layer behaviors. Organized into six chapters, the book begins with a detailed overview of definitions, motivations, singular perturbation problems, differential-difference equations, boundary layers, and a comprehensive literature review. Subsequent chapters introduce advanced numerical methods, such as adaptive splines, numerical integration on specialized meshes, trigonometric splines, and fitted numerical schemes using the backward Euler method, to address interior layer problems, differential-difference equations, and singularly perturbed parabolic differential-difference equations. These studies underscore the significance of developing numerical techniques for singularly perturbed differential-difference equations. The research emphasizes creating simple, non-asymptotic, user-friendly, and efficient methods that are easily adaptable for computer implementation with minimal preparation.

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