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Discrete Variational Derivative Method: A Structure-Preserving Numerical Method
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Discrete Variational Derivative Method: A Structure-Preserving Numerical Method for Partial Differential Equations Hardback - 2010 - 1st Edition

by Daisuke Furihata; Takayasu Matsuo

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Reader reviews for Discrete Variational Derivative Method: A Structure-Preserving Numerical Method for Partial Differential Equations

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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 engineers and physicists with a basic knowledge of numerical analysis. Topics discussed include:

  • "Conservative" equations such as the Korteweg-de Vries equation (shallow water waves) and the nonlinear Schrdinger equation (optical waves)
  • "Dissipative" equations such as the Cahn-Hilliard equation (some phase separation phenomena) and the Newell-Whitehead equation (two-dimensional Bnard convection flow)
  • Design of spatially and temporally high-order schemas
  • Design of linearly-implicit schemas
  • Solving systems of nonlinear equations using numerical Newton method libraries

Details

  • Title Discrete Variational Derivative Method: A Structure-Preserving Numerical Method for Partial Differential Equations
  • Author Daisuke Furihata; Takayasu Matsuo
  • Binding Hardback
  • Edition number 1st
  • Edition 1
  • Pages 376
  • Volumes 1
  • Language ENG
  • Publisher CRC Press
  • Publication date 2010-12-10
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index, Table of Contents
  • ISBN 9781420094459 / 1420094459
  • Weight 1.3 lbs (0.59 kg)
  • Dimensions 9.2 x 6.2 x 1 in (23.37 x 15.75 x 2.54 cm)
  • Themes
    • Aspects (Academic): Science/Technology Aspects
  • Category Mathematics
  • Library of Congress subjects Engineering mathematics, Nonlinear theories
  • Library of Congress Catalogue Number 2010043677
  • Dewey Decimal Code 515.355

Media reviews

Citations

  • Reference and Research Bk News, 04/01/2011, Page 285

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Discrete Variational Derivative Method: A Structure-Preserving Numerical Method for Partial...

Discrete Variational Derivative Method: A Structure-Preserving Numerical Method for Partial Differential Equations

by Daisuke Furihata

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Hardback. New. 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 introduces key factors and basic ideas of discrete variational derivative method.
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Discrete Variational Derivative Method: A Structure-Preserving Numerical Method for Partial...

Discrete Variational Derivative Method: A Structure-Preserving Numerical Method for Partial Differential Equations

by Daisuke Furihata

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Hardcover. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; 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 met
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Discrete Variational Derivative Method
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Discrete Variational Derivative Method

by Furihata, Daisuke; Matsuo, Takayasu,

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Discrete Variational Derivative Method
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Discrete Variational Derivative Method

by Furihata, Daisuke; Matsuo, Takayasu,

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Discrete Variational Derivative Method: A Structure-Preserving Numerical Method for Partial...
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Discrete Variational Derivative Method: A Structure-Preserving Numerical Method for Partial Differential Equations

by Furihata, Daisuke (Author)/ Matsuo, Takayasu (Author)

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Hardcover
ISBN 10 / ISBN 13
9781420094459 / 1420094459
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Chapman & Hall, 2010. Hardcover. New. 1st edition. 376 pages. 9.49x6.54x1.06 inches.
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