Weak Second Order Explicit Exponential Runge--Kutta Methods for Stochastic Differential Equations
Artikel i vetenskaplig tidskrift, 2017

We propose new explicit exponential Runge–Kutta methods for the weak approximation of solutions of stiff Itô stochastic differential equations (SDEs). We also consider the use of exponential Runge–Kutta methods in combination with splitting methods. These methods have weak order 2 for multidimensional, noncommutative SDEs with a semilinear drift term, whereas they are of order 2 or 3 for semilinear ordinary differential equations. These methods are A-stable in the mean square sense for a scalar linear test equation whose drift and diffusion terms have complex coefficients. We carry out numerical experiments to compare the performance of these methods with an existing explicit stabilized method of weak order 2.


David Cohen

Umeå universitet

University of Innsbruck

Yoshio Komori

Kyushu Institute of Technology

Kevin Burrage

Queensland University of Technology (QUT)

SIAM Journal of Scientific Computing

1064-8275 (ISSN) 1095-7197 (eISSN)

Vol. 39 6 A2857-A2878





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