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Applied Mathematics Research eXpress (2005) Vol. 2005 : article ID 117, 142 pages, doi:10.1155/AMRX.2005.117
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Copyright © 2005 Hindawi Publishing Corporation. All rights reserved.

Stability and convergence of a parallel fractional step method forthe solution of linear parabolic problems

J. R. Galo, I. Albarreal, M. C. Calzada, J. L. Cruz, E. Fernández-Cara and M. Marín

We analyze a parallel fractional step method for the solution oflinear parabolic systems. It can be viewed as a parallelization ofthe well-known {theta}-scheme. We perform an analysisof the convergence and stability of the scheme and we also studythe optimal choice of the parameters. We present some numericalresults corresponding to the solution of the classical heatequation.


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