讲座内容：

Most of practical structure-preserving schemes are implicit and are of low accuracy. If one wants to accelerate the convergence order, it often suffers from difficulties in code. For this reason, this talk is devoting to improving the convergence order of numerical solution practically and easily by combining the extrapolating method with structure-preserving schemes. Some extrapolating structure-preserving schemes are constructed for nonlinear Schrödinger equations based on the well-known second order multisymplectic Preissman scheme. Some numerical experiments are reported to support the advantages of extrapolating structure-preserving schemes.