An approximation scheme for stochastic partial differential equations with two reflecting walls h1,h2,driven by space-time white noise is studied.The lattice approximation scheme is used to study the convergence.A reflected SDE system is constructed to approximate the stochastic partial differential equations.Furthermore,a two-stage approximation method is applied to study the strong convergence of the scheme.A numerical scheme for reflected SPDE is also established.
关键词
反射随机偏微分方程/确定性障碍问题/独立时间区域Skorohod型问题/依分布收敛
Key words
stochastic partial differential equation with reflection/deterministic obstacle problems/Skorohod-type problems on time-dependent domains/convergence in the sense of distributions