Difference Methods for Singular Perturbation Problems

Difference Methods for Singular Perturbation Problems

CRC Press

Difference Methods for Singular Perturbation ProblemsAuthor(s): Grigory I. Shishkin, Lidia P. Shishkina\nFormat: Paperback\nPublisher: Taylor & Francis Ltd, United Kingdom\nImprint: Chapman & Hall/CRC\nISBN-13: 9780367386825, 978-0367386825\nSynopsis\nDifference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems. It justifies the ?-uniform convergence of these schemes and surveys the latest approaches important for further progress in numerical methods.\n\nThe 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. The authors develop a technique for constructing and justifying ? uniformly convergent difference schemes for boundary value problems with fewer restrictions on the problem data. \n\nContaining information published mainly in .

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