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Exponential operator splitting time integration for spectral methods

✍ Scribed by Roman Kozlov

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
790 KB
Volume
222
Category
Article
ISSN
0377-0427

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✦ Synopsis

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 of their special cases), generalized Laguerre and Hermite polynomials are considered. A double representation of a function (by coefficients of a polynomial expansion and by values at the nodes associated with a suitable quadrature formula) is used for numerical implementation so that it is possible to avoid calculations of matrix exponentials.

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