Numerical Methods for Stochastic Differential Equations: part I


主讲人:Professor Xuerong Mao,University of Strathclyde


地点:腾讯会议 737 3753 2094


内容介绍:Up to 2002, all positive results on the numerical methods for SDEs were based on  a much more restrictive global Lipschitz assumption (namely both shift and  diffusion coefficients satisfy the global Lipschitz condition). However, the  global Lipschitz assumption rules out most realistic models. In 2002, Higham,  D.J., Mao, X. and Stuart, A.M. (SIAM Journal on Numerical Analysis 40(3) (2002),  1041-1063) were first to study the strong convergence of numerical solutions of  SDEs under a local Lipschitz condition. The field of numerical analysis of SDEs  now has a very active research profile, much of which builds on the techniques  developed in that paper, which has so far attracted