In this paper we discuss two-stage Miistein methods for solving Ito stochastic differential equations (SDEs). Six fully explicit methods (TSM 1 -- TSM 6) are given in this paper. Their order of strong convergence ...In this paper we discuss two-stage Miistein methods for solving Ito stochastic differential equations (SDEs). Six fully explicit methods (TSM 1 -- TSM 6) are given in this paper. Their order of strong convergence is proved. The stability properties and numerical results show the effectiveness of these methods in the pathwise approximation of Ito SDEs.展开更多
文摘In this paper we discuss two-stage Miistein methods for solving Ito stochastic differential equations (SDEs). Six fully explicit methods (TSM 1 -- TSM 6) are given in this paper. Their order of strong convergence is proved. The stability properties and numerical results show the effectiveness of these methods in the pathwise approximation of Ito SDEs.