Chen, JB , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
部门归属:
Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; Univ Bergen, Dept Informat, N-5020 Bergen, Norway; AMMS, Inst Computat Math, Beijing 100080, Peoples R China
英文摘要:
A new method for constructing square-conservative schemes for a class of evolution equations using Lie-group methods is presented. The basic idea is as follows. First, we discretize the space variable appropriately so that the resulting semidiscrete system of equations can be cast into a system of ordinary differential equations evolving on a sphere. Second, we apply Lie-group methods to the semidiscrete system, and then square-conservative schemes can be constructed since the obtained numerical solution evolves on the same sphere. Both exponential and Cayley coordinates are used. Numerical experiments are also reported.
Chen, JB,Munthe-Kaas, H,Qin, MZ. Square-conservative schemes for a class of evolution equations using Lie-group methods[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2002,39(6):2164-2178.
