| 双曲型混合初边值问题数值解的稳定性与收敛速率 |
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| 引用本文： | 陈传淡. 双曲型混合初边值问题数值解的稳定性与收敛速率[J]. 厦门大学学报(自然科学版), 1988, 0(4) |
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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： | 本文应用Duhamel迭加原理,在G.K.S.稳定概念下,讨论双曲型混合初边值问题数值解的收敛速率,若稳定及相容的差分逼近,在内点的精度次数为m,在边界及初值的精度次数为m-1/2,则总体误差精度次数仍为m。
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| 关 键 词： | 收敛速率 混合初边值问题 Duhamel原理 G.K.S.稳定性 |
Stability and Convergence Rate of Difference Approximation to Mixed Initial Boundary Value Problems |
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| Chen Chuandan. Stability and Convergence Rate of Difference Approximation to Mixed Initial Boundary Value Problems[J]. Journal of Xiamen University(Natural Science), 1988, 0(4) |
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| Authors: | Chen Chuandan |
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| Abstract: | The convergence rate of difference approximation to the mixed initial boundary value problems for hyperbolic systems were discussed with the help of Duhamel's principle as well as the conception of G. K. S. stability. If the approximation at the boundary and initial condition is half order lower in accuracy than at incer point, then the overall accuracy of the solution is kept at higher order. |
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| Keywords: | Convergence rate Mixed initial boundary value problems Duhamel's principle G. K. S stability |
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