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两点边值问题的叠样条配置及渐近展式
引用本文:高协平,舒适.两点边值问题的叠样条配置及渐近展式[J].湘潭大学自然科学学报,1994,16(2):10-14.
作者姓名:高协平  舒适
作者单位:Department of Mathematics,Xiangtan university
摘    要:本文给出了非线性两点边值问题的叠三次样条配置格式,证明了其误差阶达到O(h4)精度,并给出了误差的渐近展开.

关 键 词:非线性两点边值问题  叠样条  配置  渐近展开

THE SPLINE-ON-SPLINE COLLOCATION SCHEME AND ASYMPTOTIC EXPANSION FOR TWO POINTS BOUNDARY PROBLEM
Gao Xieping, Shu Shi.THE SPLINE-ON-SPLINE COLLOCATION SCHEME AND ASYMPTOTIC EXPANSION FOR TWO POINTS BOUNDARY PROBLEM[J].Natural Science Journal of Xiangtan University,1994,16(2):10-14.
Authors:Gao Xieping  Shu Shi
Abstract:In this paper, We discuss a class of nonlinear two point boundary problems.and give the cubic Spline-on-spline collocation scheme.Then we prove the error bound 0(h4) and obtain its asymptotic erpansion.
Keywords:two point boundary problem  spline-on-spline  Collocation asymptotic erpansion  
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