| 那顺布和,苏志勋,魏虹.一类非线性发展方程的交替分组的并行数值算法[J].计算力学学报,2005,22(3):344~348 |
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| 一类非线性发展方程的交替分组的并行数值算法 |
| An alternating group method of parallel computing for a class of nonlinear evolution equations |
| 修订日期：2003-05-22 |
| DOI：10.7511/jslx20053069 |
| 中文关键词: 非线性发展方程,交替分组4点方法,稳定性,并行计算 |
| 英文关键词:nonlinear evolution equation,alternating group method,stability,parallel computing |
| 基金项目:国家自然科学基金(19990141150);教育部优秀青年教师基金;教育部博士点基金(60073038)资助项目. |
| 那顺布和 苏志勋 魏虹 |
大连理工大学应用数学系 辽宁大连116024
(那顺布和，苏志勋)
，南京师范大学数学与计算机科学学院 江苏南京210097(魏虹)
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| 摘要点击次数: 1325 |
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| 中文摘要: |
| 给出了一类非线性发展方程的交替分组4点格式,并得到该方法的无条件稳定性及具有并行本性兼顾的结果。能够适合在并行计算系统上使用。文中还进行了并行计算的数值实验。 |
| 英文摘要: |
| In order to study a high effective computation method of nonlinear evolution equation, an alternating group method of four points for a class of nonlinear evolution equations is presented in this paper. Using the second class Saul'yev nonsymmetrical difference scheme, we promote the alternating group method which can be used directly on the parallel computers. It is shown that the method is unconditional stable and has the obvious property of parallelism. Numerical experiments is also presented here in order to illustrate good practicability and usefulness of the method. We also give the numerical experiments of parallel computation, which shows that the alternating group method of four points has better stability and higher accuracy than that of AGE, GEL and GER. |
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