On the parallel solution of parabolic equations:

Abstract: "We propose new parallel algorithms for the solution of linear parabolic problems. The first of these methods is based on using polynomial approximation to the exponential. It does not require solving any linear systems and is highly parallelizable. The two other methods proposed are...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Gallopoulos, Efstratios (VerfasserIn), Saad, Yousef (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Urbana, Ill. 1989
Schriftenreihe:Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report 854
Schlagworte:
Zusammenfassung:Abstract: "We propose new parallel algorithms for the solution of linear parabolic problems. The first of these methods is based on using polynomial approximation to the exponential. It does not require solving any linear systems and is highly parallelizable. The two other methods proposed are based on Padé and Chebyshev approximations to the matrix exponential. The parallelization of these methods is achieved by using partial fraction decomposition techniques to solve the resulting systems and thus offers the potential for increased time parallelism in time dependent problems. We also present experimental results from the Alliant FX/8 and the Cray Y-MP/832 vector multiprocessors."
Beschreibung:22 S.

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