| 引用本文: | 熊岳山.二阶抛物型方程的 Legendre 谱方法.[J].国防科技大学学报,1996,18(4):130-134.[点击复制] |
| Xiong Yueshan.Legendre Spectral Method for Second-order Parabolic Equation[J].Journal of National University of Defense Technology,1996,18(4):130-134[点击复制] |
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| 二阶抛物型方程的 Legendre 谱方法 |
| 熊岳山 |
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(国防科技大学 计算机系 湖南 长沙 410073)
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| 摘要: |
| 讨论了精确解和 Legendre 谱解的误差估计，应用文中定义的椭圆投影算子，得到了 H 和H1 模估计。 |
| 关键词: 抛物型方程，Legendre 谱方法、椭圆投影算子 |
| DOI： |
| 投稿日期：1996-03-13 |
| 基金项目: |
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| Legendre Spectral Method for Second-order Parabolic Equation |
| Xiong Yueshan |
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(Department of Computer Science，NUDT，Changsha，410073)
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| Abstract: |
| This paper deals with the estimation of the errors of the exact solution and the Legendre spectral solution. By using the defined elliptic projection operator，we can form the estimations of the errors. Both H and H1 norm estimations are obtained simultaneously. |
| Keywords: parabolic equation,Legendre spectral method,elliptic projection operator |
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