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

"Many important problems in engineering and science are modeled by nonlinear partial differential equations (PDEs). A new trend in PDEs, called structure-preserving numerical methods, has recently developed. This book is devoted to one such technique, called the discrete variational derivative...

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Main Authors: 508779 Furihata, Daisuke, Matsuo, Takayasu
Format:
Language:eng
Published: Boca Raton, FL : Chapman and Hall/CRC, 2010
Subjects:
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author 508779 Furihata, Daisuke
Matsuo, Takayasu
author_facet 508779 Furihata, Daisuke
Matsuo, Takayasu
author_sort 508779 Furihata, Daisuke
collection OCEAN
description "Many important problems in engineering and science are modeled by nonlinear partial differential equations (PDEs). A new trend in PDEs, called structure-preserving numerical methods, has recently developed. This book is devoted to one such technique, called the discrete variational derivative method. First, the text introduces the key factors and the basic ideas of this method, followed by target problems solvable by the method. The second section describes the rigorous mathematics in detail along with relevant applications, which are illustrated by worked examples. It concludes with a comprehensive of listing of essential references on structure-preserving algorithms for advanced readers"--
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spelling KOHA-OAI-TEST:4430672020-12-19T17:16:02ZDiscrete variational derivative method : a structure-preserving numerical method for partial differential equations / 508779 Furihata, Daisuke Matsuo, Takayasu Boca Raton, FL : Chapman and Hall/CRC,2010eng"Many important problems in engineering and science are modeled by nonlinear partial differential equations (PDEs). A new trend in PDEs, called structure-preserving numerical methods, has recently developed. This book is devoted to one such technique, called the discrete variational derivative method. First, the text introduces the key factors and the basic ideas of this method, followed by target problems solvable by the method. The second section describes the rigorous mathematics in detail along with relevant applications, which are illustrated by worked examples. It concludes with a comprehensive of listing of essential references on structure-preserving algorithms for advanced readers"--Includes bibliographical references and index"Many important problems in engineering and science are modeled by nonlinear partial differential equations (PDEs). A new trend in PDEs, called structure-preserving numerical methods, has recently developed. This book is devoted to one such technique, called the discrete variational derivative method. First, the text introduces the key factors and the basic ideas of this method, followed by target problems solvable by the method. The second section describes the rigorous mathematics in detail along with relevant applications, which are illustrated by worked examples. It concludes with a comprehensive of listing of essential references on structure-preserving algorithms for advanced readers"--PSZJBLDifferential equations, PartialNonlinear theoriesEngineering mathematicsURN:ISBN:9781420094459 (hbk.)
spellingShingle Differential equations, Partial
Nonlinear theories
Engineering mathematics
508779 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 Differential equations, Partial
Nonlinear theories
Engineering mathematics
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AT matsuotakayasu discretevariationalderivativemethodastructurepreservingnumericalmethodforpartialdifferentialequations