一类二维非线性发展方程的分块隐式格式与并行计算

Blocking implied format and parallel algorithm of a class of two-dimensional nonlinear evolution equations

为获得可使二维非线性发展方程适合于在并行机上运行的高效率计算方法,给出了二维非线性发展方程的分块隐式格式以及并行数值计算方法,得到了该方法关于A12—稳定性以及并行兼顾的结果,通过数值例子表明了该方法具有良好的使用性和有效性.

In order to obatain an efficient algorithm for a class of two-dimensional nonlinear evolution equations to be solved on parallel machine, a blocking implicit format and parallel digital algorith are given for solution of this class of equations, resulting in such a method where its A^(12)-stability and the parallelism are considered all together. It is shown by a digitally computational illustration that this method possesses a better feasibility and effectiveness.