Publications [#246537] of Henry Greenside

Papers Published
  1. Greenside, HS; Helfand, E, Numerical Integration of Stochastic Differential Equations—II, Bell System Technical Journal, vol. 60 no. 8 (January, 1981), pp. 1927-1940, Institute of Electrical and Electronics Engineers (IEEE) [doi] .

    Abstract:
    In a previous paper, a method was presented to integrate numerically nonlinear stochastic differential equations (SDES) with additive, Gaussian, white noise. The method, a generalization of the Runge‐Kutta algorithm, extrapolates from one point to the next applying functional evaluations at stochastically determined points. This paper extends (and at one point corrects) algorithms for the simple class of equations considered in the previous paper. In addition, the method is expanded to treat vector SDES, equations with time‐dependent functions, and SDES higher than first order. The parameters for several explicit integration schemes are displayed. © 1981 The Bell System Technical Journal