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.File in questo prodotto:
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