| 变系数双曲型多层差分逼近的稳定性收敛性 |
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| 引用本文： | 陈传淡. 变系数双曲型多层差分逼近的稳定性收敛性[J]. 厦门大学学报(自然科学版), 1990, 29(1): 29-31 |
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| 作者姓名： | 陈传淡 |
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| 作者单位： | 厦门大学数学系 |
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| 摘 要： | 文中讨论变系数双曲型方程式双边值问题及初值问题的多层差分格式的良态性质及柯西稳定概念,并由此用 Duhamel 原理导出右端稳定概念,并引入关于△t的P阶收敛概念。最后得到稳定性收敛性的关系和总体误差精度阶数同截断误差精度阶数的关系。
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| 关 键 词： | 多层差分逼近 稳定性 收敛性 |
The Stability and Convergence of the Multi-Level Difference Approximation for the Hyperbolic Systems |
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| Chen Chuandan. The Stability and Convergence of the Multi-Level Difference Approximation for the Hyperbolic Systems[J]. Journal of Xiamen University(Natural Science), 1990, 29(1): 29-31 |
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| Authors: | Chen Chuandan |
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| Affiliation: | Dept. of Math. |
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| Abstract: | The Cauchy stability and p-order convergence rate for the multi-level difference approximation of the hyperbolic systems with variable coefficients are treated.With the help of the Duhamel's principal.the stability with respect to the terms of the righthand side are derived. Finally.the relation between stability and convergence and the overall accuracy and truncated accuracy are obtained. |
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| Keywords: | p-order convergence.Stability.Duhamel's principal.Truncated accuracy.Overall accuracy |
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