Exponential splitting time integration for pseudospectral methods on moving meshes

Authors:
Roman Kozlov
Affiliations:
Department of Mathematics, University of Bergen, Johannes Brunsgate 12, 5008 Bergen, Norway
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 5
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Abstract

Moving meshes are successfully used in many fields. Here we investigate how a recently proposed approach to combine the Strang splitting method for time integration with pseudospectral spatial discretization by orthogonal polynomials can be extended to include moving meshes. A double representation of a function (by coefficients of polynomial expansion and by values at the mesh nodes associated with a suitable quadrature formula) is an essential part of the numerical integration. Before numerical implementation the original PDE is transformed into a suitable form. The approach is illustrated on the linear heat transfer equation.