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Order conditions for the stochastic Runge–Kutta methods assuring weak convergence with order two are calculated by applying the colored rooted tree analysis due to the author. Further, some ...
A. Ostermann, M. Roche, Runge-Kutta Methods for Partial Differential Equations and Fractional Orders of Convergence, Mathematics of Computation, Vol. 59, No. 200 (Oct ...