Grigory I Shishkin, Lidia P Shishkina

Difference Methods for Singular Perturbation Problems

• Broschiertes Buch

Produktbeschreibung

This book presents a systematic, detailed development of approaches to construct ¿ uniformly convergent finite difference schemes for wide classes of singularly perturbed boundary value problems. The first part of the book explores boundary value problems for elliptic and parabolic reaction-diffusion and convection-diffusion equations in n-dimensional domains with smooth and piecewise-smooth boundaries. Containing material published mainly in the last four years, the second section focuses on problems with boundary layers and additional singularities generated by nonsmooth data, unboundedness of the domain, and the perturbation vector parameter.

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Produktdetails

• Verlag: Taylor & Francis Ltd (Sales)
• Seitenzahl: 408
• Erscheinungstermin: 5. September 2019
• Englisch
• Abmessung: 231mm x 155mm x 23mm
• Gewicht: 544g
• ISBN-13: 9780367386825
• ISBN-10: 0367386828
• Artikelnr.: 57732947

Autorenporträt

Shishkin, Grigory I.; Shishkina, Lidia P.

Inhaltsangabe

Introduction. Boundary Value Problems for Elliptic Reaction-Diffusion
Equations in Domains with Smooth Boundaries. Boundary Value Problems for
Elliptic Reaction-Diffusion Equations in Domains with Piecewise-Smooth
Boundaries. Generalizations for Elliptic Reaction-Diffusion Equations.
Parabolic Reaction-Diffusion Equations.
Elliptic Convection-Diffusion Equations. Parabolic Convection-Diffusion
Equations. Grid Approximations of Parabolic Reaction-Diffusion Equations
with Three Perturbation Parameters. Application of Widths for Construction
of Difference Schemes for Problems with Moving Boundary Layers. High-Order
Accurate Numerical Methods for Singularly Perturbed Problems. A Finite
Difference Scheme on a priori Adapted Grids for a Singularly Perturbed
Parabolic Convection-Diffusion Equation. On Conditioning of Difference
Schemes and Their Matrices for Singularly Perturbed Problems. Approximation
of Systems of Singularly Perturbed Elliptic Reaction-Diffusion Equations
with Two Parameters. Survey. References.