| The Harmonious Dissipative Operators and the Completely Square Conservative Difference Scheme in an Explicit Way |
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| 作者姓名： | 王斌 季仲贞 |
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| 作者单位： | LASG，Institute of Atmospheric Physics，Academia Sinica，Beijing 100080，PRC Now he words as a post doctor in Computing Center，Academia Sinica，LASG，Institute of Atmospheric Physics，Academia Sinica，Beijing 100080，PRC |
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| 基金项目： | Project partly supported by the State Key Project for Basic Researches. |
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| 摘 要： | In this paper, a new definition on harmonious dissipative operators is given and some important properties of theirs are shown. Especially, the relationship between a harmonious dissipative operator and the completely square conservative difference scheme in an explicit way is revealed. Kinds of 2-order, 3-order and 4-order harmonious dissipative operators are constructed by using the traditional Runge-Kutta method and a species of general m-order harmonious dissipative operators is established in the linear case. In addition, an efficiency parameter to appraise the time benefits of a harmonious dissipative operator is defined in this paper. It is testified in numerical tests that the harmonious dissipative operators are indeed able to improve the time-efficiency and computational effect of the completely square conservative difference scheme in an explicit way.
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The Harmonious Dissipative Operators and the Completely Square Conservative Difference Scheme in an Explicit Way |
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| WANG Bin and JI Zhong-Zhen.The Harmonious Dissipative Operators and the Completely Square Conservative Difference Scheme in an Explicit Way[J].Science in China(Chemistry),1994(4). |
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| Authors: | WANG Bin and JI Zhong-Zhen |
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| Abstract: | In this paper, a new definition on harmonious dissipative operators is given and some important properties of theirs are shown. Especially, the relationship between a harmonious dissipative operator and the completely square conservative difference scheme in an explicit way is revealed. Kinds of 2-order, 3-order and 4-order harmonious dissipative operators are constructed by using the traditional Runge-Kutta method and a species of general m-order harmonious dissipative operators is established in the linear case. In addition, an efficiency parameter to appraise the time benefits of a harmonious dissipative operator is defined in this paper. It is testified in numerical tests that the harmonious dissipative operators are indeed able to improve the time-efficiency and computational effect of the completely square conservative difference scheme in an explicit way. |
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| Keywords: | harmonious dissipation positive definite character acceleration principle computational precision explicit complete square conservation |
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