Exponentially Convergent Algorithms for Abstract Differential Equations

This book presents new accurate and efficient exponentially convergent methods for abstract differential equations with unbounded operator coefficients in Banach space. These methods are highly relevant for the practical scientific computing since the equations under consideration can be seen as the...

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Detalles Bibliográficos
Autores principales: Gavrilyuk, Ivan, Makarov, Volodymyr, Vasylyk, Vitalii
Lenguaje:eng
Publicado: Springer 2011
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-0348-0119-5
http://cds.cern.ch/record/1414254
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author Gavrilyuk, Ivan
Makarov, Volodymyr
Vasylyk, Vitalii
author_facet Gavrilyuk, Ivan
Makarov, Volodymyr
Vasylyk, Vitalii
author_sort Gavrilyuk, Ivan
collection CERN
description This book presents new accurate and efficient exponentially convergent methods for abstract differential equations with unbounded operator coefficients in Banach space. These methods are highly relevant for the practical scientific computing since the equations under consideration can be seen as the meta-models of systems of ordinary differential equations (ODE) as well as the partial differential equations (PDEs) describing various applied problems. The framework of functional analysis allows one to obtain very general but at the same time transparent algorithms and mathematical results which
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2011
publisher Springer
record_format invenio
spelling cern-14142542021-04-22T00:40:16Zdoi:10.1007/978-3-0348-0119-5http://cds.cern.ch/record/1414254engGavrilyuk, IvanMakarov, VolodymyrVasylyk, VitaliiExponentially Convergent Algorithms for Abstract Differential EquationsMathematical Physics and MathematicsThis book presents new accurate and efficient exponentially convergent methods for abstract differential equations with unbounded operator coefficients in Banach space. These methods are highly relevant for the practical scientific computing since the equations under consideration can be seen as the meta-models of systems of ordinary differential equations (ODE) as well as the partial differential equations (PDEs) describing various applied problems. The framework of functional analysis allows one to obtain very general but at the same time transparent algorithms and mathematical results whichSpringeroai:cds.cern.ch:14142542011
spellingShingle Mathematical Physics and Mathematics
Gavrilyuk, Ivan
Makarov, Volodymyr
Vasylyk, Vitalii
Exponentially Convergent Algorithms for Abstract Differential Equations
title Exponentially Convergent Algorithms for Abstract Differential Equations
title_full Exponentially Convergent Algorithms for Abstract Differential Equations
title_fullStr Exponentially Convergent Algorithms for Abstract Differential Equations
title_full_unstemmed Exponentially Convergent Algorithms for Abstract Differential Equations
title_short Exponentially Convergent Algorithms for Abstract Differential Equations
title_sort exponentially convergent algorithms for abstract differential equations
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-0348-0119-5
http://cds.cern.ch/record/1414254
work_keys_str_mv AT gavrilyukivan exponentiallyconvergentalgorithmsforabstractdifferentialequations
AT makarovvolodymyr exponentiallyconvergentalgorithmsforabstractdifferentialequations
AT vasylykvitalii exponentiallyconvergentalgorithmsforabstractdifferentialequations

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