In a companion paper Lopez and Trigiante [4] introduced BVM methods for solving linear ODEs. In this paper we describe the implementation of a particular method in this class on a parallel computer. The corresponding discrete problem requires the solution of an unsymmetric block tridiagonal linear system, which is solved by means of an iterative method. A brief survey of such iterative methods is given. Comparisons of the parallel method with the LSODE package are reported, both in terms of precision of the numerical solution and speed-up, showing the effectiveness of the parallel method.

PARALLEL IMPLEMENTATION OF BVM METHODS

MAZZIA, Francesca;
1993-01-01

Abstract

In a companion paper Lopez and Trigiante [4] introduced BVM methods for solving linear ODEs. In this paper we describe the implementation of a particular method in this class on a parallel computer. The corresponding discrete problem requires the solution of an unsymmetric block tridiagonal linear system, which is solved by means of an iterative method. A brief survey of such iterative methods is given. Comparisons of the parallel method with the LSODE package are reported, both in terms of precision of the numerical solution and speed-up, showing the effectiveness of the parallel method.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/22029
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