Exact and Truncated Difference Schemes for Boundary Value ODEs

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 com...

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Detalles Bibliográficos
Autores principales: Gavrilyuk, Ivan P, Hermann, Martin, Makarov, Volodymyr L, Kutniv, Myroslav V
Lenguaje:eng
Publicado: Springer 2011
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-0348-0107-2
http://cds.cern.ch/record/1486247
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author Gavrilyuk, Ivan P
Hermann, Martin
Makarov, Volodymyr L
Kutniv, Myroslav V
author_facet Gavrilyuk, Ivan P
Hermann, Martin
Makarov, Volodymyr L
Kutniv, Myroslav V
author_sort Gavrilyuk, Ivan P
collection CERN
description 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
id cern-1486247
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2011
publisher Springer
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spelling cern-14862472021-04-22T00:18:32Zdoi:10.1007/978-3-0348-0107-2http://cds.cern.ch/record/1486247engGavrilyuk, Ivan PHermann, MartinMakarov, Volodymyr LKutniv, Myroslav VExact and Truncated Difference Schemes for Boundary Value ODEsMathematical Physics and MathematicsThe 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 inSpringeroai:cds.cern.ch:14862472011
spellingShingle Mathematical Physics and Mathematics
Gavrilyuk, Ivan P
Hermann, Martin
Makarov, Volodymyr L
Kutniv, Myroslav V
Exact and Truncated Difference Schemes for Boundary Value ODEs
title Exact and Truncated Difference Schemes for Boundary Value ODEs
title_full Exact and Truncated Difference Schemes for Boundary Value ODEs
title_fullStr Exact and Truncated Difference Schemes for Boundary Value ODEs
title_full_unstemmed Exact and Truncated Difference Schemes for Boundary Value ODEs
title_short Exact and Truncated Difference Schemes for Boundary Value ODEs
title_sort exact and truncated difference schemes for boundary value odes
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-0348-0107-2
http://cds.cern.ch/record/1486247
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AT hermannmartin exactandtruncateddifferenceschemesforboundaryvalueodes
AT makarovvolodymyrl exactandtruncateddifferenceschemesforboundaryvalueodes
AT kutnivmyroslavv exactandtruncateddifferenceschemesforboundaryvalueodes

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