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

ISBN-13: 9789810224622 / Angielski / Twarda / 1996 / 180 str.

John J. H. Miller; J. J. H. Miller; E. O'Riordan

Opis

This work 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. The book introduces the reader to the theory behind these novel numerical methods.