Differential Equations and Numerical Analysis Tiruchirappalli, India, January 2015

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...

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Bibliographic Details
Other Authors: Sigamani, Valarmathi (Editor), Miller, John J. H. (Editor), Narasimhan, Ramanujam (Editor), Mathiazhagan, Paramasivam (Editor)
Format: eBook
Language:English
Published: New Delhi Springer India 2016, 2016
Edition:1st ed. 2016
Series:Springer Proceedings in Mathematics & Statistics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Differential Equations and Numerical Analysis  |h Elektronische Ressource  |b Tiruchirappalli, India, January 2015  |c edited by Valarmathi Sigamani, John J. H. Miller, Ramanujam Narasimhan, Paramasivam Mathiazhagan, Franklin Victor 
250 |a 1st ed. 2016 
260 |a New Delhi  |b Springer India  |c 2016, 2016 
300 |a XI, 165 p. 21 illus  |b online resource 
505 0 |a 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 
653 |a Applied mathematics 
653 |a Computational Science and Engineering 
653 |a Engineering mathematics 
653 |a Applications of Mathematics 
653 |a Computer mathematics 
653 |a Partial Differential Equations 
653 |a Numerical analysis 
653 |a Numerical Analysis 
653 |a Partial differential equations 
653 |a Ordinary Differential Equations 
653 |a Differential equations 
700 1 |a Miller, John J. H.  |e [editor] 
700 1 |a Narasimhan, Ramanujam  |e [editor] 
700 1 |a Mathiazhagan, Paramasivam  |e [editor] 
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490 0 |a Springer Proceedings in Mathematics & Statistics 
856 4 0 |u https://doi.org/10.1007/978-81-322-3598-9?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 515.352 
520 |a 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