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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Discrete Variational Derivative Method - A Structure-Preserving Numerical Method for Partial Differential Equations (Hardcover)
Loot Price: R4,053
Discovery Miles 40 530
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Discrete Variational Derivative Method - A Structure-Preserving Numerical Method for Partial Differential Equations (Hardcover)
Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series
Expected to ship within 12 - 19 working days
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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 Schr dinger equation (optical waves) *
"Dissipative" equations such as the Cahn-Hilliard equation (some
phase separation phenomena) and the Newell-Whitehead equation
(two-dimensional B nard 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
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