中文摘要：

利用Lengdre变换构造了2维Schrdinger方程的多辛形式,对它在时空方向都利用Euler中点格式离散得到了一个2阶多辛格式.理论分析表明格式是保持系统的电荷守恒和能量守恒,且无条件稳定2阶收敛的数值实验验证了理论分析的正确性和多辛格式的优越性.

英文摘要：

A multisymplectic formulism is constructed for two-dimensinal Schrdinger equation by Lengdre transformation.It is approximated by Euler midpoint rule in both time and space directions which yields a second-order multisymplectic scheme.It suggests that the scheme can preserve the charge and energy invariants in theory.Moreover,it is unconditionally stable and second-order convergence rate.Numerical experiments verify the correctness of theoretical analysis and the superior of multisymplectic schemes.