# 【深圳大学40周年校庆400场学术活动（第393场）】𝐿p-Convergence Rate of Backward Euler Scheme for Monotone SDEs

We discuss the strong convergence rate of the backward Euler scheme for monotone SDEs in L^p(\Omega)-norm, with general p \ge 4. The results are applied to the backward Euler scheme of SODEs with polynomial growth coefficients. We also generalize the argument to the Galerkin-based backward Euler scheme of SPDEs with polynomial growth coefficients (including the stochastic Allen--Cahn equation) driven by multiplicative trace-class noise.