摘要
所谓分裂算法就是将一个复杂的物理过程分解为两个或多个较简单的过程而逐个计算,然后再叠加或综合.这种方法既可使计算逻辑简化,又可节省计算时间,是一种经济的计算方法.对于大气和海洋动力学问题的数值模拟,由于它们需要长时间积分,费时很多,因此如何减少计算量,节省计算时间成为一个不可回避的问题.尤其在我国计算机技术还比较落后的情况下,这个问题显得更加重要.分裂算法就是解决这个问题的最常用。
A systematical study on splitting algorithms is carried out in theory by means of Taylor Series Expansion. It includes a revelation of the relative separability and the mutual dependence property of different motion stages, an establishment of three splitting patterns from the comprehensiveness of some typical splitting algorithm, an mathematical analysis on the structure error, the approximation precision and compatibility ect. of these patterns, and a comparison of the advantages or disadvantages of the patterns in mathematics and in physics, and thereby it may provides some theoretical bases for the further development and the application and dissemination of splitting algorithms.
出处
《计算数学》
CSCD
北大核心
1995年第2期115-126,共12页
Mathematica Numerica Sinica
基金
国家科委"攀登计划"重大关键项目
国家科技攻关85-906项目的部分资助
