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Titlebook: Differential Equations and Numerical Analysis; Tiruchirappalli, Ind Valarmathi Sigamani,John J. H. Miller,Franklin Vic Conference proceedin

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发表于 2025-3-21 18:18:55 | 显示全部楼层 |阅读模式
书目名称Differential Equations and Numerical Analysis
副标题Tiruchirappalli, Ind
编辑Valarmathi Sigamani,John J. H. Miller,Franklin Vic
视频video
概述Describes recent developments in the field of research on differential equations.Shows researchers how to design and analyze numerical methods for solving new problems.Helps readers construct numerica
丛书名称Springer Proceedings in Mathematics & Statistics
图书封面Titlebook: Differential Equations and Numerical Analysis; Tiruchirappalli, Ind Valarmathi Sigamani,John J. H. Miller,Franklin Vic Conference proceedin
描述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.
出版日期Conference proceedings 2016
关键词Boundary and Interior layers; Differential equations; Numerical methods; Parameter uniform convergence;
版次1
doihttps://doi.org/10.1007/978-81-322-3598-9
isbn_softcover978-81-322-3862-1
isbn_ebook978-81-322-3598-9Series ISSN 2194-1009 Series E-ISSN 2194-1017
issn_series 2194-1009
copyrightSpringer India 2016
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发表于 2025-3-21 21:47:21 | 显示全部楼层
Numerical Method for a Singularly Perturbed Boundary Value Problem for a Linear Parabolic Second Ordewise uniform mesh is suggested to approximate the solution. The method is proved to be first order convergent uniformly with respect to the singular perturbation parameter. Numerical illustrations are also presented.
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2194-1009 ds for solving new problems.Helps readers construct numericaThis 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
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Conclusions on Neutron Albedo Decay Source mesh which resolves the initial and interior layers is suggested. This method is proved to be essentially first order convergent in the maximum norm uniformly in the perturbation parameters. Numerical illustrations are provided to support the theory.
发表于 2025-3-23 09:37:11 | 显示全部楼层
A Parameter Uniform Numerical Method for an Initial Value Problem for a System of Singularly Perturb mesh which resolves the initial and interior layers is suggested. This method is proved to be essentially first order convergent in the maximum norm uniformly in the perturbation parameters. Numerical illustrations are provided to support the theory.
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