Finite Dimensional Systems of Partial Differential or Difference Equations
β Scribed by Ulrich Oberst
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 235 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0196-8858
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π SIMILAR VOLUMES
We propose a new procedure for designing finite-difference schemes that inherit energy conservation or dissipation property from complex-valued nonlinear partial differential equations (PDEs), such as the nonlinear SchrΓΆdinger equation, the Ginzburg-Landau equation, and the Newell-Whitehead equation
## Abstract In this paper, a unified approach for analysing finite dimensional approximations to a class of partial differential equations boundary value problems (secondβkind Fredholm differential equations) is introduced. The approach is shown to be general despite of its extremely simple form. I