In this paper boundary value techniques for solving parabolic equations (PBV methods) will be proposed. The methods will be derived by the BVM methods for ODEs studied in [11, 12], the parallel implementation of which seems to be particularly efficient, especially for differential systems with a steady-state solution. The stability and the convergence properties of the proposed PBV methods will be studied. Numerical tests will be given both to illustrate the numerical features and the performance of the parallel version of some PBV method on a network of transputers. In particular we will consider the parallel implementation of the PBV method based on the Simpson rule which will be compared with its scalar version and with the scalar Hindmarsch's LSODE code.
METHODS BASED ON BOUNDARY-VALUE TECHNIQUES FOR SOLVING PARABOLIC EQUATIONS ON PARALLEL COMPUTERS
LOPEZ, Luciano
1993-01-01
Abstract
In this paper boundary value techniques for solving parabolic equations (PBV methods) will be proposed. The methods will be derived by the BVM methods for ODEs studied in [11, 12], the parallel implementation of which seems to be particularly efficient, especially for differential systems with a steady-state solution. The stability and the convergence properties of the proposed PBV methods will be studied. Numerical tests will be given both to illustrate the numerical features and the performance of the parallel version of some PBV method on a network of transputers. In particular we will consider the parallel implementation of the PBV method based on the Simpson rule which will be compared with its scalar version and with the scalar Hindmarsch's LSODE code.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
