二阶与四阶分段指数样条插值的误差界
数值分析
2020-10-08 v1 数值分析
摘要
给出了用四阶分段指数样条插值光滑函数时的显式逐点误差界。将三次样条的已知估计推广到一类自然的分段指数样条，该类样条出现在多元多样条的构造中。误差估计以归纳方式导出，使用了用二阶指数样条插值光滑函数的误差估计。
引用
@article{arxiv.2010.03355,
title = {Error bounds for interpolation with piecewise exponential splines of order two and four},
author = {Ognyan Kounchev and Hermann Render},
journal= {arXiv preprint arXiv:2010.03355},
year = {2020}
}
备注
40 pages, 8 figures