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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Language: | eng |
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Boca Raton, FL : Chapman and Hall/CRC,
2010
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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"-- |
first_indexed | 2024-03-05T10:39:00Z |
format | |
id | KOHA-OAI-TEST:443067 |
institution | Universiti Teknologi Malaysia - OCEAN |
language | eng |
last_indexed | 2024-03-05T10:39:00Z |
publishDate | 2010 |
publisher | Boca Raton, FL : Chapman and Hall/CRC, |
record_format | dspace |
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 |
work_keys_str_mv | AT 508779furihatadaisuke discretevariationalderivativemethodastructurepreservingnumericalmethodforpartialdifferentialequations AT matsuotakayasu discretevariationalderivativemethodastructurepreservingnumericalmethodforpartialdifferentialequations |