Difference Methods for Singular Perturbation Problems (CHAPMAN AND HALL /CRC MONOGRAPHS AND SURVEYS IN PURE AND APPLIED MATHEMATICS, 140, Band 140) - Hardcover

Buch 19 von 34: Monographs and Surveys in Pure and Applied Mathematics

Shishkin, Grigory I.; Shishkina, Lidia P.

 
9781584884590: Difference Methods for Singular Perturbation Problems (CHAPMAN AND HALL /CRC MONOGRAPHS AND SURVEYS IN PURE AND APPLIED MATHEMATICS, 140, Band 140)
Hardcover
ISBN 10: 1584884592 ISBN 13: 9781584884590
Verlag: Chapman and Hall/CRC, 2019

Inhaltsangabe

Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems. It justifies the e-uniform convergence of these schemes and surveys the latest approaches important for further progress in numerical methods.

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. The authors develop a technique for constructing and justifying e uniformly convergent difference schemes for boundary value problems with fewer restrictions on the problem data.

Containing information 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. This part also studies both the solution and its derivatives with errors that are independent of the perturbation parameters.

Co-authored by the creator of the Shishkin mesh, this book presents a systematic, detailed development of approaches to construct e uniformly convergent finite difference schemes for broad classes of singularly perturbed boundary value problems.

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Über die Autorin bzw. den Autor

Shishkin, Grigory I.; Shishkina, Lidia P.

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Verlag
Chapman and Hall/CRC
Erscheinungsdatum
2019
Sprache
Englisch
ISBN 10 
1584884592
ISBN 13 
9781584884590
Einband
Gebundene Ausgabe
Anzahl der Seiten
393
Kontakt zum Hersteller
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9780367386825: Difference Methods for Singular Perturbation Problems (Monographs and Surveys in Pure and Applied Mathematics)

Vorgestellte Ausgabe

ISBN 10:  0367386828 ISBN 13:  9780367386825
Verlag: Chapman and Hall/CRC, 2019
Softcover