Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Applied Numerical Mathematics - Selected papers on eighth conference on the numerical treatment of differential equations 1-5 September 1997, Alexisbad, Germany
Adaptive schemes for the numerical solution of SDEs: a comparison
Journal of Computational and Applied Mathematics
Weak Second Order Conditions for Stochastic Runge--Kutta Methods
SIAM Journal on Scientific Computing
Multi-colored rooted tree analysis of the weak order conditions of a stochastic Runge--Kutta family
Applied Numerical Mathematics
Weak order stochastic Runge-Kutta methods for commutative stochastic differential equations
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Continuous weak approximation for stochastic differential equations
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Applied Numerical Mathematics
Numerical simulation of stochastic replicator models in catalyzed RNA-like polymers
Mathematics and Computers in Simulation
Stochastic Runge-Kutta Methods for Itô SODEs with Small Noise
SIAM Journal on Scientific Computing
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A class of explicit stochastic Runge-Kutta (SRK) methods for Stratonovich stochastic differential equation systems w.r.t, m-dimensional Wiener processes satisfying a commutativity condition is developed. General conditions for the coefficients of the SRK method assuring convergence with order two in the weak sense are presented. Due to the commutativity condition, no correlated random variables have to be generated for the considered Runge-Kutta methods.