Differential Equations And Numerical Analysis: Tiruchirappalli, India, January 2015 by Valarmathi SigamaniDifferential Equations And Numerical Analysis: Tiruchirappalli, India, January 2015 by Valarmathi Sigamani

Differential Equations And Numerical Analysis: Tiruchirappalli, India, January 2015

byValarmathi SigamaniEditorJohn J. H. Miller, Ramanujam Narasimhan

Hardcover | August 18, 2016

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This book offers an ideal introduction to singular perturbation problems, and a valuable guide for researchers in the field of differential equations. It also includes chapters on new contributions to both fields: differential equations and singular perturbation problems. Written by experts who are active researchers in the related fields, the book serves as a comprehensive source of information on the underlying ideas in the construction of numerical methods to address different classes of problems with solutions of different behaviors, which will ultimately help researchers to design and assess numerical methods for solving new problems. All the chapters presented in the volume are complemented by illustrations in the form of tables and graphs.
Valarmathi Sigamani is assistant professor at the Department of Mathematics at Bishop Heber College, Tiruchirappalli, Tamil Nadu, India. She did her doctoral studies in numerical analysis at Bharathidasan University, Tiruchirappalli, under the guidance of Prof. N. Ramanujam. She has been teaching algebra, analysis, topology, calculus o...
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Title:Differential Equations And Numerical Analysis: Tiruchirappalli, India, January 2015Format:HardcoverDimensions:165 pages, 23.5 × 15.5 × 0.03 inPublished:August 18, 2016Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:8132235967

ISBN - 13:9788132235965

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Table of Contents

Elementary Tutorial on Numerical Methods for Singular Perturbation Problems.- Interior Layers in Singularly Perturbed Problems.- Singularly Perturbed Delay Differential Equations and Numerical Methods.- Initial or boundary value problems for systems of singularly perturbed differential equations and their solution profile.- Convergence of the Crank Nicolson Method for a singularly perturbed parabolic reaction-diffusion system.- Iterative Numerical Method for a System of Singularly Perturbed Reaction - Diffusion Equations with Negative shifts.- Parameter Uniform Numerical Method for Second Order Singularly Perturbed Turning Point Problems with Robin Boundary Conditions.- Numerical Method for a Singularly Perturbed Boundary Value Problem for a Linear Parabolic Second Order Delay Differential Equation.- A Parameter Uniform Numerical Method for an Initial Value Problem for a System of Singularly Perturbed Delay Differential Equations with Discontinuous Source terms.- A parameter uniform first order convergent numerical method for a semilinear system of singularly perturbed second order delay differential equations.