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Fitted Numerical Methods for Singular Perturbation Problems de J. J. H. Miller

Fitted Numerical Methods for Singular Perturbation Problems

Autor J. J. H. Miller, E. O'Riordan, G. I. Shishkin
en Limba Engleză Hardback – 28 feb 2012
Fitted mesh methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. This book offers an introduction to the basic theory associated with fitted numerical methods for singularly perturbed differential equations. It can be used as an introductory text to the theory underpinning fitted mesh methods.
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Specificații

ISBN-13: 9789814390736
ISBN-10: 9814390739
Pagini: 192
Dimensiuni: 152 x 229 x 13 mm
Greutate: 0.43 kg
Ediția:Revised
Editura: World Scientific Publishing Company

Cuprins

Motivation for the Study of Singular Perturbation Problems; Simple Examples of Singular Perturbation Problems; Numerical Methods for Singular Perturbation Problems; Fitted Operator Methods; Simple Fitted Mesh Methods in One Dimension; Fitted Mesh Methods for Reaction-Diffusion Problems; Properties of Upwind Operators on Piecewise Uniform Meshes; Fitted Mesh Methods for Convection-Diffusion Problems; Fitted Element Methods for Convection-Diffusion Problems; Schwarz Iterative Methods in One Dimension; Convection-Diffusion Problems in Two Dimensions; Bounds on Derivatives of Solutions of Convection-Diffusion Problems; Convergence of Fitted Mesh Methods in Two Dimensions; Limitations of Fitted Operators for Parabolic Boundary Layers; Initial and Parabolic Boundary Layers.