By Daisuke Furihata,Takayasu Matsuo
Nonlinear Partial Differential Equations (PDEs) became more and more very important within the description of actual phenomena. not like usual Differential Equations, PDEs can be utilized to successfully version multidimensional platforms.
The tools recommend in Discrete Variational spinoff Method be aware of a brand new category of "structure-preserving numerical equations" which improves the qualitative behaviour of the PDE ideas and enables strong computing. The authors have additionally taken care to offer their equipment in an obtainable demeanour, this means that the booklet should be necessary to engineers and physicists with a easy wisdom of numerical research. subject matters mentioned include:
- "Conservative" equations akin to the Korteweg–de Vries equation (shallow water waves) and the nonlinear Schrödinger equation (optical waves)
- "Dissipative" equations corresponding to the Cahn–Hilliard equation (some part 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 platforms of nonlinear equations utilizing numerical Newton approach libraries
Read Online or Download Discrete Variational Derivative Method: A Structure-Preserving Numerical Method for Partial Differential Equations (Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series) PDF
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Extra resources for Discrete Variational Derivative Method: A Structure-Preserving Numerical Method for Partial Differential Equations (Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series)
Discrete Variational Derivative Method: A Structure-Preserving Numerical Method for Partial Differential Equations (Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series) by Daisuke Furihata,Takayasu Matsuo