APPLICATION OF THE SPARE APPROXIMATE INVERSE PRECONDITIONER TO SHALLOW WATER PROBLEM
To improve the computation speed in numerically solving weather equations, we investigate the use of sparse approximate inverse preconditioners for numerically solving shallow water equations. This is a fast algorithm for solving large scale linear equations. Some strategies for determining the nonzero of an approximate inverse are described in this paper. As an example,we use the GMRES iterative algorithm to solve the finite difference equations of shallow equations and analyze the results that are obtained with preconditioning and without preconditioning, respectively. It is shown that the computation speed is greatly improved after we use the preconditioning method. In addition, this preconditioning algorithm is simple and parallelizable. Therefore, the algorithm is potential in the applications of weather equations.
Preconditioning Shallow water equations Sparse approzimation inverse GMRES iterative algorithm
GUANGHUI WANG XUESHUN SHEN FENGFENG CHEN ZHONGZHEN JI
State Key Laboratory of Severe Weather (LaSW), Chinese Academy of Meteorological Sciences, Beijing 1 State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics (
国际会议
The Second International Conference on Information & Systems Sciences(ICISS2008)(第二届信息与系统科学国际会议)
大连
英文
46-54
2008-12-18（万方平台首次上网日期，不代表论文的发表时间）