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Effectiveness Evaluation of Parallel Execution of Some Mathematical Methods

机译:有效评估一些数学方法的平行执行

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In many applications the essential part of the calculations in the programs are based on some well-known and defined mathematical method, such as FDM (Finite Difference Method), FEM (Finite Element Method), LU Factorization, SOR (successive over-relaxation) method, Monte Carlo method and so on. In such cases the decision how to execute effectively the application on a parallel machine should be taken according to the information how the appropriate mathematical method could be parallelized. Obviously it will be very convenient to have practical guidelines of how these methods perform in parallel versions on different parallel machines for a scale of input arguments. The following is a description of an attempt to receive representative figures for the behavior of two mathematical methods on three parallel machines.
机译:在许多应用中,程序中的计算的重要组成部分基于一些众所周知和定义的数学方法,例如FDM(有限差分方法),FEM(有限元方法),LU分解,SOR(连续过度放松)方法,蒙特卡罗方法等。在这种情况下,决定如何根据有效的数学方法可以并行化。显然,具有如何在不同并行计算机上以不同的并行计算机执行的实际指导,具有实际指南将是非常方便的。以下是对试图接收三个并行机器的两种数学方法的行为的代表数据的描述。

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