Discrete variational derivative method: a structure-preserving numerical method for partial differential equations

Nonlinear Partial Differential Equations (PDEs) have become increasingly important in the description of physical phenomena. Unlike Ordinary Differential Equations, PDEs can be used to effectively model multidimensional systems. The methods put forward in Discrete Variational Derivative Method conce...

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Detalles Bibliográficos
Autores principales: Furihata, Daisuke, Matsuo, Takayasu
Lenguaje:eng
Publicado: CRC Press 2010
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/1999793
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author Furihata, Daisuke
Matsuo, Takayasu
author_facet Furihata, Daisuke
Matsuo, Takayasu
author_sort Furihata, Daisuke
collection CERN
description Nonlinear Partial Differential Equations (PDEs) have become increasingly important in the description of physical phenomena. Unlike Ordinary Differential Equations, PDEs can be used to effectively model multidimensional systems. The methods put forward in Discrete Variational Derivative Method concentrate on a new class of ""structure-preserving numerical equations"" which improves the qualitative behaviour of the PDE solutions and allows for stable computing. The authors have also taken care to present their methods in an accessible manner, which means that the book will be useful to engineer
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2010
publisher CRC Press
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spelling cern-19997932021-04-21T20:26:27Zhttp://cds.cern.ch/record/1999793engFurihata, DaisukeMatsuo, TakayasuDiscrete variational derivative method: a structure-preserving numerical method for partial differential equationsMathematical Physics and MathematicsNonlinear Partial Differential Equations (PDEs) have become increasingly important in the description of physical phenomena. Unlike Ordinary Differential Equations, PDEs can be used to effectively model multidimensional systems. The methods put forward in Discrete Variational Derivative Method concentrate on a new class of ""structure-preserving numerical equations"" which improves the qualitative behaviour of the PDE solutions and allows for stable computing. The authors have also taken care to present their methods in an accessible manner, which means that the book will be useful to engineerCRC Pressoai:cds.cern.ch:19997932010
spellingShingle Mathematical Physics and Mathematics
Furihata, Daisuke
Matsuo, Takayasu
Discrete variational derivative method: a structure-preserving numerical method for partial differential equations
title Discrete variational derivative method: a structure-preserving numerical method for partial differential equations
title_full Discrete variational derivative method: a structure-preserving numerical method for partial differential equations
title_fullStr Discrete variational derivative method: a structure-preserving numerical method for partial differential equations
title_full_unstemmed Discrete variational derivative method: a structure-preserving numerical method for partial differential equations
title_short Discrete variational derivative method: a structure-preserving numerical method for partial differential equations
title_sort discrete variational derivative method: a structure-preserving numerical method for partial differential equations
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1999793
work_keys_str_mv AT furihatadaisuke discretevariationalderivativemethodastructurepreservingnumericalmethodforpartialdifferentialequations
AT matsuotakayasu discretevariationalderivativemethodastructurepreservingnumericalmethodforpartialdifferentialequations

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