In this paper the linear asymptotic mean-square stability of class of diagonally drift-implicit Runge–Kutta schemes (DDISRK) for the weak solution of systems of stochastic differential equations (SDEs) is investigated. We provide explicit structure of the stability matrices of this class of...

A proof of convergence is presented for a simplified numerical integration method for solving systems of correlated stochastic differential equations describing mean reverting geometric Brownian motion. Such systems arise in modelling the time evolution of interest rate term structures. For time...