二阶抛物型方程的Legendre谱方法  

Legendre Spectral Method for Second-order Parabolic Equation

作　　者：熊岳山[1] 

机构地区：[1]国防科技大学计算机系

出　　处：《国防科技大学学报》1996年第4期130-134,共5页Journal of National University of Defense Technology

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。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.

关 键 词：抛物型方程 Legendre谱 椭圆投影算子 误差估计 

分 类 号：O241.82[理学—计算数学]