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Interpolation strategies in repeated Richardson extrapolation

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成果类型:
期刊论文
作者:
Zhang, Cong;Zhang, Jun*
通讯作者:
Zhang, Jun
作者机构:
[Zhang, Cong] Wuhan Polytech Univ, Sch Math & Comp Sci, Wuhan, Hubei, Peoples R China.
[Zhang, Jun] Univ Kentucky, Dept Comp Sci, Lexington, KY 40506 USA.
通讯机构:
[Zhang, Jun] U
Univ Kentucky, Dept Comp Sci, Lexington, KY 40506 USA.
语种:
英文
关键词:
Finite difference method;Grid computing;Interpolation;Computational grids;Finite difference scheme;High-order solution;Numerical experiments;Richardson extrapolation;Extrapolation
期刊:
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
ISSN:
1064-1246
年:
2016
卷:
31
期:
6
页码:
2935-2939
基金类别:
National Natural Science FoundationNational Natural Science Foundation of China (NSFC) [61272278]; Hubei Province Natural Science FoundationNatural Science Foundation of Hubei Province [2014CFB270, 2015CFA061]
机构署名:
本校为第一机构
院系归属:
数学与计算机学院
摘要:
We discuss the interpolation strategies related to Richardson extrapolation and repeated Richardson extrapolation. We emphasize that, in most computations, the interest is in obtaining accurate solution on the current computational grid, not that on the coarse level grids on which the extrapolated solutions reside. We tackle the interpolation issue that has largely been overlooked in Richardson extrapolation related applications. We present numerical experiments to support our analysi...

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