A NEW DIFFERENCE SCHEME WITH MULTI-TIME LEVELS

doi:10.1088/1009-1963/10/11/303

中国物理B ›› 2001, Vol. 10 ›› Issue (11): 1004-1010.doi: 10.1088/1009-1963/10/11/303

A NEW DIFFERENCE SCHEME WITH MULTI-TIME LEVELS

曹鸿兴¹, 丑纪范², 董文杰³, 封国林⁴

(1)Academy of Meteorological Sciences, Beijing 100081} China; (2)Department of Meteorological Sciences, Lanzhou University, Lanzhou 730000} China; (3)Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China; (4)Mathematics and Physics College, Yangzhou University, Yangzhou 225009, China

收稿日期:2001-04-06 修回日期:2001-07-02 出版日期:2001-11-15 发布日期:2005-06-12
基金资助:
Project supported by the National Key Program for Developing Basic Sciences (Grant Nos. G1998040901-1 and G1999043400) and the National Natural Science Foundation of China (Grant No. 49875025).

A NEW DIFFERENCE SCHEME WITH MULTI-TIME LEVELS

Feng Guo-lin (封国林)^a, Cao Hong-xing (曹鸿兴)^b, Dong Wen-jie (董文杰)^c, Chou Ji-fan (丑纪范)^d

^a Mathematics and Physics College, Yangzhou University, Yangzhou 225009, China; ^b Academy of Meteorological Sciences, Beijing 100081 China; ^c Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China; ^d Department of Meteorological Sciences, Lanzhou University, Lanzhou 730000 China

Received:2001-04-06 Revised:2001-07-02 Online:2001-11-15 Published:2005-06-12
Supported by:
Project supported by the National Key Program for Developing Basic Sciences (Grant Nos. G1998040901-1 and G1999043400) and the National Natural Science Foundation of China (Grant No. 49875025).

摘要/Abstract

摘要： In view of making the best use of information coming from past observational data, a new difference scheme with multi-time levels (p>3) is suggested. Some mathematical characteristics of the scheme, which is called the retrospective 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.

Abstract: In view of making the best use of information coming from past observational data, a new difference scheme with multi-time levels (p>3) is suggested. Some mathematical characteristics of the scheme, which is called the retrospective 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.

Key words: numerical computing, multi-initial values, self-memorization, the retrospective difference scheme

中图分类号: (Ordinary and partial differential equations; boundary value problems)

02.60.Lj

02.30.Jr (Partial differential equations)

封国林, 曹鸿兴, 董文杰, 丑纪范. A NEW DIFFERENCE SCHEME WITH MULTI-TIME LEVELS[J]. 中国物理B, 2001, 10(11): 1004-1010.

Feng Guo-lin (封国林), Cao Hong-xing (曹鸿兴), Dong Wen-jie (董文杰), Chou Ji-fan (丑纪范). A NEW DIFFERENCE SCHEME WITH MULTI-TIME LEVELS[J]. Chinese Physics, 2001, 10(11): 1004-1010.

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A NEW DIFFERENCE SCHEME WITH MULTI-TIME LEVELS

A NEW DIFFERENCE SCHEME WITH MULTI-TIME LEVELS

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