Daisuke Furihata Takayasu Discrete Variational Derivative (Hardback) (UK IMPORT)

Further Details

Title: Discrete Variational Derivative Method
Condition: New
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 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 Schrödinger equation (optical waves)
• \"Dissipative\" equations such as the Cahn–Hilliard equation (some phase separation phenomena) and the Newell-Whitehead equation (two-dimensional Bénard 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

Author: Daisuke Furihata, Takayasu Matsuo
Format: Hardback
EAN: 9781420094459
ISBN-10: 1420094459
ISBN: 9781420094459
Edition: 1st
Item Length: 156mm
Item Height: 234mm
Language: English
Genre: Science Nature & Math
Release Date: 12/09/2010
Item Weight: 657g
Type: Differential Equations
Subtitle: A Structure-Preserving Numerical Method for Partial Differential Equations
Publisher: Chapman & Hall/CRC
Topic: Computing & Internet
Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series
Release Year: 2010

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