| 自忆模式中差分格式的稳定性研究 |
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| 引用本文： | 封国林,董文杰,李建平,丑纪范.自忆模式中差分格式的稳定性研究[J].物理学报,2004,53(7):2389-2395. |
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| 作者姓名： | 封国林 董文杰 李建平 丑纪范 |
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| 作者单位： | (1)国家气候中心，北京 100081; (2)兰州大学大气科学系，兰州 730000; (3)扬州大学物理科学与技术学院，扬州 225009;中国科学院大气物理研究所，北京 100029; (4)中国科学院大气物理研究所，北京 100029 |
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| 基金项目： | 国家杰出青年基金(批准号：40325015)和国家自然科学基金（批准号：40275031和40231006）及中国科学院知识创新项目(批准号：ZKCX2SW210)资助的课题. |
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| 摘 要： | 基于大气运动是一种不可逆过程的观点，引进了忆及过去时次资料的记忆函数，导出热传导的自忆性方程，研究了方程分别取Richardson和DuFort-Frankel格式，回溯阶p取1时的稳定性.探讨了多时刻模式中数值积分有时发散的问题，揭示了由过去时次资料动态求取记忆函数，改变了原定设计的差分格式，且它是一个时间平滑因子的本质.
关键词：
回溯阶差分格式
多时次
稳定性
记忆性
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| 关 键 词： | 回溯阶差分格式 多时次 稳定性 记忆性 |
| 文章编号： | 1000-3290/2004/53(07)/2389-07 |
| 收稿时间： | 2003-08-13 |
On the stability of the difference scheme in the self-memorization model |
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| Feng Guo-Lin,Dong Wen-Jie,Li Jian-Ping and Chou Ji-Fan.On the stability of the difference scheme in the self-memorization model[J].Acta Physica Sinica,2004,53(7):2389-2395. |
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| Authors: | Feng Guo-Lin Dong Wen-Jie Li Jian-Ping and Chou Ji-Fan |
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| Abstract: | In light of irreversibility of atmospheric motion, the memory function obtained by utilizing the previous information fully obtained from the observational data is introduced. The self-memorization equation of the heat conduction equation is induced, and the stability and characteristics of which are studied, taking respectively Richardson scheme (RS) and DuFort-Frankel scheme (DS) as the retrospective order p=1. The calculation results indicate that the numerical integral is diffused sometimes in the multi-time model, due to the fact that the memory function is determined by the observational data via the special mathematics arithmetic, which makes the difference scheme designed previously change, and is a smooth time factor in itself. |
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| Keywords: | retrospective difference scheme multi-time model stability memorization |
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