Isbn: 9781420094459 - discrete variational derivative method: a structure-preserving numerical method for partial differential equations (16 risultati)

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Hardback. Condizione: New. 1st. 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 schemasDesign of linearly-implicit schemasSolving systems of nonlinear equations using numerical Newton method libraries.…

Hardcover. Condizione: Brand New. 1st edition. 376 pages. 9.49x6.54x1.06 inches. In Stock.

Hardback. Condizione: New. 1st. 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 schemasDesign of linearly-implicit schemasSolving systems of nonlinear equations using numerical Newton method libraries.…

Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Daisuke Furihata, Takayasu MatsuoNonlinear 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 multidimension.…

Condizione: New. pp. xi + 376 Illus. This item is printed on demand.