Pseudospectral spatial discretization by orthogonal polynomials and Strang splitting method for time integration are applied to second-order linear evolutionary PDEs. Before such a numerical integration can be used the original PDE is transformed into a suitable form. Trigonometric, Jacobi (and some
β¦ LIBER β¦
Averaging operators for exponential splittings
β Scribed by Marko Huhtanen
- Publisher
- Springer-Verlag
- Year
- 2007
- Tongue
- English
- Weight
- 222 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0029-599X
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While the basic theory of exponential dichotomies deals with differential and difference equations with uniquely determined forward and backward solutions, nowadays applications require to have a corresponding theory for equations whose backward solutions are not guaranteed to exist or to be unique.