Numerical Methods for Singularly Perturbed Differential Equations
Subtitle: Convection-Diffusion and Flow Problems (Springer Series in Computational Mathematics)
Edition: 2nd ed. edition
Publisher: Springer
Published: October 1, 2007
Language: eng
Format: Hardcover
Number of pages: 500
ISBN-13: 9783540344667
Subjects: Differential equations; Biostatistics; Mathematics; Science/Mathematics; Mathematics / Number Systems; Navier-stokes equations; Singular perturbation; boundary and interior layers; convection-diffusion; layer-adapted grids; numerical methods; stabilised finite elements; variational multiscale approach; Applied; Number Systems
First sentence: We begin with a general form of the problem that will occupy our attention throughout most of Chapter I.
Description: This considerably extended and completely revised second edition incorporates many new developments in the thriving field of numerical methods for singularly perturbed differential equations. It provides a thorough foundation for the numerical analysis and solution of these problems, which model many physical phenomena whose solutions exhibit layers. The book focuses on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics. It offers a comprehensive overview of suitable numerical methods while emphasizing those with realistic error estimates. The book should be useful for scientists requiring effective numerical methods for singularly perturbed differential equations.