有限差分方程和偶次叠基样条插值  

FINITE DIFFERENCE EQUATION AND EVEN CATDINAL SPLINAONSPLINE INTERPOLATION

作　　者：傅凯新[1] 毛瑟玲 彭学锋 

机构地区：[1]湘潭大学数学系

出　　处：《湘潭大学自然科学学报》1998年第3期21-26,共6页Natural Science Journal of Xiangtan University

基　　金：国家自然科学基金

摘　　要：利用ＥｕｌｅｒＦｒｏｂｅｎｉｕｓ多项式和中点指数ＥｕｌｅｒＦｒｏｂｅｎｉｕｓ多项式给出有限差分方程的幂级数形式的特解，从而进一步给出偶次叠基样条插值误差的渐近展开形式．In this paper, the special solution with a power series form of finite difference equations was shown by taking advantage of EulerFrobenius polynomial and middle power index EulerFrobenius Polynomial, furthermore, the asymptotic expansion form of even cardinal splinesonsplines interpolation error was given.

关 键 词：基样条 叠样条 渐近展开 有限差分方程 插值 

分 类 号：O241.5[理学—计算数学]