Maxwell-Dirac系统二类时间分裂数值方法的比较  

Comparison between two time-splitting numerical methods for solving the Maxwell-Dirac system

作　　者：邱镜亮[1] 韩冉冉[1] 

机构地区：[1]北京信息科技大学理学院,北京100192

出　　处：《北京信息科技大学学报（自然科学版）》2011年第4期44-48,共5页Journal of Beijing Information Science and Technology University

基　　金：国家自然科学基金项目(NSFC10671023;NSFC60776063)

摘　　要：利用时间分裂方法和有限差分法来求解非线性Maxwell-Dirac系统。这种混合数值方法在时间和空间方向上均为二阶精度。通过大量的计算给出数值方法和时间分裂谱方法在精确性、计算效率和稳定性方面的区别。A numerical scheme is presented to solve the nonlinear Maxwell-Dirac systems by applying time-splitting method and finite difference method. This mixed numerical method has second-order accuracy in both time and space. Numerical results are given to compare the accuracy, computational efficiency and robustness between two time-splitting methods.

关 键 词：Maxwell—Dirac系统 有限差分 谱方法 

分 类 号：O241.84[理学—计算数学]