## 留言板

 引用本文: 徐承龙, 郭本瑜. 多维区域中非线性偏微分方程的修正Laguerre谱与拟谱方法[J]. 应用数学和力学, 2008, 29(3): 281-300.
XU Cheng-long, GUO Ben-yu. Modified Laguerre Spectral and Pseudospectral Methods for Nonlinear Partial Differential Equations in Multiple Dimensions[J]. Applied Mathematics and Mechanics, 2008, 29(3): 281-300.
 Citation: XU Cheng-long, GUO Ben-yu. Modified Laguerre Spectral and Pseudospectral Methods for Nonlinear Partial Differential Equations in Multiple Dimensions[J]. Applied Mathematics and Mechanics, 2008, 29(3): 281-300.

## 多维区域中非线性偏微分方程的修正Laguerre谱与拟谱方法

###### 作者简介:徐承龙(1963- ),男,上海人,教授,博士(联系人.Tel:+86-21-65983240;Fax:+86-22-65982341;E-mail:clxu601@online.sh.cn).
• 中图分类号: O241.5；O241.82；O241.3

## Modified Laguerre Spectral and Pseudospectral Methods for Nonlinear Partial Differential Equations in Multiple Dimensions

• 摘要: 研究多维区域中非线性偏微分方程的谱与拟谱方法．建立了修正Laguerre正交逼近与插值结果，这些结果对于建立和分析无界区域中的数值方法起着重要的作用．作为结果的一个应用，研究了二维无界区域中的Logistic方程的修正Laguerre谱格式,证明了它的稳定性和收敛性．数值试验结果表明所提出方法具有很高的精度，与理论分析结果完全吻合．
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##### 出版历程
• 收稿日期:  2007-12-12
• 修回日期:  2008-01-24
• 刊出日期:  2008-03-15

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