| 一阶双曲方程的耗散谱tau方法及最优误差估计 |
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| 引用本文： | 杨征,张中强.一阶双曲方程的耗散谱tau方法及最优误差估计[J].丽水学院学报,2008,30(5):12-15. |
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| 作者姓名： | 杨征 张中强 |
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| 作者单位： | 1. 丽水学院,数理学院,浙江,丽水,323000
2. 上海大学,理学院,上海,200444 |
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| 摘 要： | 考虑一阶线性双曲方程的一种耗散Legendre tau方法，使用对偶技巧得到其在一定解光滑性条件下的最优收敛性估计。
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| 关 键 词： | Legendre多项式 tau方法 一阶双曲方程 最优收敛估计 |
An Optimal Eerror Estimate of Dissipative Spectral Tau Method for A First Order Hyperbolic Equation |
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| Yang Zheng,Zhang Zhongqiang.An Optimal Eerror Estimate of Dissipative Spectral Tau Method for A First Order Hyperbolic Equation[J].Journal of Lishui University,2008,30(5):12-15. |
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| Authors: | Yang Zheng Zhang Zhongqiang |
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| Institution: | Yang Zheng ,Zhang Zhongqiang (1. College of Mathematics and Physics, Lishui University,Lishui Zhejiang 323000, China ;2. Department of Mathematics, Shanghai University. Shanghai 200444, China) |
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| Abstract: | In this paper,a dissipative Legendre tau method is proposed for a linear first order hyperbolic equation.An optimal error estimate is obtained by a duality argument under different regularity. |
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| Keywords: | Legendre polynomials tau methods first order equation optimal convergence rate |
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