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Threestage Semiimplicit Stochastic RungeKutta Methods for Stochastic Differential Equations

WANG Peng1, Lv Xianrui1, ZHANG Shen xu2   

  1. 1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2007-10-16 Revised:1900-01-01 Online:2008-03-26 Published:2008-03-26
  • Contact: Lv Xianrui

Abstract: We discussed threestage semiimplicit stochastic RungeKutta methods for Stratonovich stochastic differential equations. The meansquare stability properties of the methods were examited. The stability properties and numerical results show the effectiveness of these methods in the pathwise approximation of stochastic differential equations.

Key words: stochastic differential equations, RungeKutta method, meansquare stability

CLC Number: 

  • O241.8