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W. Miranker, W. Liniger (1967)
Parallel methods for the numerical integration of ordinary differential equationsMathematics of Computation, 21
J. Lambert (1973)
Computational Methods in Ordinary Differential Equations
In this paper, a 4th order parallel computation method with four processes for solving ODEs is discussed. This method is the Runge-Kutta method combined with a linear multistep method, which overcomes the difficulties of the 4th order parallel Runge-Kutta method discussed in [1]. The concept of critical speedup for parallel methods is also defined, and speedups of some methods are analyzed by using this concept.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jul 14, 2005
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