Two general local Cm triangular interpolation schemes by rational functions from Cm data are proposed for any nonnegative integer m. The schemes can have either 2m+1 order algebraic precision if the required data are ...Two general local Cm triangular interpolation schemes by rational functions from Cm data are proposed for any nonnegative integer m. The schemes can have either 2m+1 order algebraic precision if the required data are given on vertices and edges, or m+E[m/2]+1 or m+1 order algebraic precision if the data are given only at vertices. The orders of the interpolation error are estimated. Examples that show the correctness and effectiveness of the scheme are presented.展开更多
基金NSFC under Project 1967108 and Croucher Foundation of Hong Kong, Supported also by FRGof Hong Kong Baptist University.
文摘Two general local Cm triangular interpolation schemes by rational functions from Cm data are proposed for any nonnegative integer m. The schemes can have either 2m+1 order algebraic precision if the required data are given on vertices and edges, or m+E[m/2]+1 or m+1 order algebraic precision if the data are given only at vertices. The orders of the interpolation error are estimated. Examples that show the correctness and effectiveness of the scheme are presented.
