多时间层次差分格式  

Difference scheme with multi-time levels

作　　者：张增平[1] 周云[1] 钱忠华[1] 曹鸿兴[2] 

机构地区：[1]扬州大学物理科学与技术学院,江苏扬州225002 [2]中国气象科学研究院,北京100081

出　　处：《扬州大学学报（自然科学版）》2009年第1期21-25,共5页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(40175024);国家重点基础研究发展规划项目(G1999043408)

摘　　要：充分利用观测数据中的信息量,提出一种时间层次p>3的差分格式,论证了这种数值差分格式的某些数学特征,将其应用到平流方程和非线性平流方程中,计算证明该格式的计算精度比常用的蛙跃格式高得多.该格式可以应用到如气象、海洋、水文乃至环境、经济等有系统性观测的领域中.In view of making the best utilization of information coming the past observational data, a new difference scheme with multi-time levels （p 〉 3 ） is suggested, and some mathematical characteristics of the scheme are discussed. The numerical results of some examples show that the calculation accuracy of linear and nonlinear advection equations computed with the retrospective scheme is higher than that obtained via the leapfrog scheme. The scheme can be applied to many fields, such as meteorology, engineering physics, astronautics, environment and economy etc., where systematic observations are made normally.

关 键 词：数值计算 多重初值 自记忆 回溯差分格式 

分 类 号：P456.7[天文地球—大气科学及气象学] O241.82[理学—计算数学]