A High Order Parallel Method for Time Discretization of Parabolic Type Equations Based on Laplace Transformation and Quadrature
Year: 2005
Author: Vidar Thomée
International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Iss. 1 : pp. 85–96
Abstract
We consider the discretization in time of a parabolic equation, using a representation of the solution as an integral along a smooth curve in the complex left half plane. The integral is then evaluated to high accuracy by a quadrature rule. This reduces the problem to a finite set of elliptic equations, which may be solved in parallel. The procedure is combined with finite element discretization in the spatial variables. The method is also applied to some parabolic type evolution equations with memory.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-IJNAM-922
International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Iss. 1 : pp. 85–96
Published online: 2005-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: parabolic type Laplace transform parallel method and high order quadrature.