マルチプロセッサシステム上での非線形微分方程式の並列処理

概要

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This paper describes a parallel processing scheme for solving systems of nonlinear differential algebraic equations using BDF (Backward Differentiation Formulas) method on a multiprocessor system. The BDF method has been known as a useful tool to solve the stiff differential equations for the transient analysis of electric circuit simulations. The solution process of the BDF method comprises the discretization in time domain, the Newton-Raphson iteration and the solution of sparse linear equations which has so far been difficult to process in parallel, especially by vector pipeline machines like current supercomputers. The effectiveness and practicality of the proposed scheme are demonstrated on an actual multiprocessor system named OSCAR though the scheme can be applied to other advanced multiprocessor systems as well.
日本シミュレーション学会の論文
1991-06-15