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A parallel diagonally iterated RK method for convection-diffusion and stiff problems

✍ Scribed by Franco, J. M. ;Gomez, I.

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
196 KB
Volume
14
Category
Article
ISSN
1069-8299

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✦ Synopsis

In this paper we propose a parallel diagonal iteration process for solving a low-order implicit Runge±Kutta method of Lagrange type. The resulting scheme can be regarded as a parallel singly diagonally implicit Runge±Kutta (PSDIRK) method and it is strongly A-stable when the classical linear test model is used. On a two-processor computer, this method requires the solution of two implicit relations (sequential time units) per step and per processor. We compare our method with some sequential and parallel methods from the literature for solving linear as well as non-linear sti problems and semidiscretized convection±diusion equations. The numerical experiments show the behaviour of our method with regard to the other methods.

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