Fitted Numerical Methods for Singular Perturbation Problems: Error Estimates in the Maximum Norm for Linear Problems in One and Two Dimensions by John J.H. Miller - PDF and EPUB eBook

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This book introduces the reader to fitted numerical methods for solving singularly perturbed differential equations. The...

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Details of Fitted Numerical Methods for Singular Perturbation Problems: Error Estimates in the Maximum Norm for Linear Problems in One and Two Dimensions

Exact title of the book
Fitted Numerical Methods for Singular Perturbation Problems: Error Estimates in the Maximum Norm for Linear Problems in One and Two Dimensions
Book author
John J.H. Miller
Book edition
Hardcover
Number of pages
180 pages
Published
January 1st 1996 by World Scientific Publishing Company
File size (in PDF)
720 kB
Fitted Numerical Methods for Singular Perturbation Problems: Error Estimates in the Maximum Norm for Linear Problems in One and Two Dimensions

Some brief overview of book

This book introduces the reader to fitted numerical methods for solving singularly perturbed differential equations. The performance of fitted methods is not adversely affected by the value of the perturbation parameter. The book concentrates on fitted mesh methods.

These methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. The fitted mesh algorithm is particularly simple to implement in practice, but the theory of why these methods work is far from simple. This book introduces the reader to the theory behind these novel numerical methods.