Exact and Truncated Difference Schemes for Boundary Value ODEs - Couverture souple

Gavrilyuk, Ivan; Hermann, Martin; Makarov, Volodymyr; Kutniv, Myroslav V.

 
9783034803410: Exact and Truncated Difference Schemes for Boundary Value ODEs
Couverture souple
ISBN 10 : 3034803419 ISBN 13 : 9783034803410
Editeur : Birkhäuser, 2013

Synopsis

The book provides a comprehensive introduction to compact finite difference methods for solving boundary value ODEs with high accuracy. The corresponding theory is based on exact difference schemes (EDS) from which the implementable truncated difference schemes (TDS) are derived. The TDS are now competitive in terms of efficiency and accuracy with the well-studied numerical algorithms for the solution of initial value ODEs. Moreover, various a posteriori error estimators are presented which can be used in adaptive algorithms as important building blocks. The new class of EDS and TDS treated in this book can be considered as further developments of the results presented in the highly respected books of the Russian mathematician A. A. Samarskii. It is shown that the new Samarskii-like techniques open the horizon for the numerical treatment of more complicated problems.

The book contains exercises and the corresponding solutions enabling the use as a course text or for self-study. Researchers and students from numerical methods, engineering and other sciences will find this book provides an accessible and self-contained introduction to numerical methods for solving boundary value ODEs.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This comprehensive primer on compact finite difference methods for solving boundary value ODEs with high accuracy includes coverage of various a posteriori error estimators which are ideal for use in adaptive algorithms as important building blocks.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Birkhäuser
Date d'édition
2013
Langue
anglais
ISBN 10 
3034803419
ISBN 13 
9783034803410
Reliure
Broché
Nombre de pages
260
Coordonnées du fabricant
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Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9783034801065: Exact and Truncated Difference Schemes for Boundary Value ODEs

Edition présentée

ISBN 10 :  3034801068 ISBN 13 :  9783034801065
Editeur : Springer Basel, 2011
Couverture rigide