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.
出处
《湘潭大学自然科学学报》
CAS
CSCD
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
关键词
基样条
叠样条
渐近展开
有限差分方程
插值
cardinal spline, cardinal splineonspline, EulerFrobenius polynomial, asymptotic expansion.