Institute of Applied Physics and Computational Mathematics, Nonlinear center for Studies, P. O. Box 8009, Beijing, 100088, China;
Institute of Applied Physics and Computational Mathematics, Nonlinear center for Studies, P. O. Box 8009, Beijing, 100088, China;
Graduate School, China Academy of Engineering Physics, P. O. Box 2101, Beijing, China;
South China University of Technology, Department of Mathematics, Guangzhou, 510640, China;
Landau-Lifschitz Equation; difference method; existence and uniqueness;