| 设计多层差分格式的一种有效途径 |
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| 引用本文： | 王进,刘儒勋.设计多层差分格式的一种有效途径[J].应用数学,2000,13(2):67-71. |
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| 作者姓名： | 王进 刘儒勋 |
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| 作者单位： | 中国科技大学数学系,安徽,合肥,230026 |
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| 基金项目： | This work wassupported by NNSF of China( No.1 9771 0 77) and NSF of America( No.INT960 1 0 84 ) |
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| 摘 要： | 本文推广了传统的余项裣方法并将其应用于多层差分格式的设计中。由此不仅可以设计出高精度的多层差分格式，并且能有效的控制格式的耗散与色散效应以满足不同数值模拟的需要。
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| 关 键 词： | 有限差分格式 偏微分方程 设计 多层差分格式 |
An Effective Approach to Design Multi-Level Finite Difference Schemes |
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| WANG Jin,LIU Ru-xun.An Effective Approach to Design Multi-Level Finite Difference Schemes[J].Mathematica Applicata,2000,13(2):67-71. |
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| Authors: | WANG Jin LIU Ru-xun |
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| Abstract: | In this paper, we generalize the conventional
remainder-compensation approach in order to design multi-level finite difference schemes.
By this generalized approach, not only can the successful design of highly accurate
multi-level schemes be obtained, but also the dissipation and dispersion effects of finite
difference schemes are well controlled so as to meet the different needs of simulations to
actual problems. |
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| Keywords: | Finite difference scheme(FDS) Modified PDE(MPDE) Remainder compensation |
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