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In this article, a new class of Runge-Kutta methods for initial value problems y = f(x, y) are introduced, this method replace evaluations of f with approximations of f and use the harmonic mean in ...
A weak order one stochastic Runge-Kutta method
Stochastic differential equations weak approximation
2010/9/15
In this paper, we derive new two stage explicit SRK methods with weak order 1 for SDEs with one. With two test problems,the absolute error and the CPU time of our method present and compare with the E...