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基于块的二元混合有理插值 被引量:3

Block-based bivariate blending rational interpolation
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摘要 文章首先通过引进2个参数给出了基于块的二元混合有理插值的一般格式及其误差估计,并由这种一般格式得到4种不同的基于块的插值;应用基于块的二元混合有理插值方法给出了矩形网格上缺项的插值算法,并通过2个数值例子,验证了算法的有效性。 The general form of block-based bivariate blending rational interpolation with the error estimation is established by introducing two parameters. From this general form, four different block-based interpolations can be obtained. Then an efficient algorithm for computing bivariate lacunary rational interpolation is constructed based on block-based bivariate blending rational interpolation. At last, two numerical examples illustrate the validity of the method.
出处 《合肥工业大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第3期484-488,共5页 Journal of Hefei University of Technology:Natural Science
基金 安徽省自然科学基金资助项目(070416227) 国家自然科学基金资助项目(60473114)
关键词 Newton-like插值 Thiele-like插值 二元混合有理插值 Newton-like interpolation Thiele-like interpolation bivariate blending rational interpolation
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  • 1王家正.三元Thiele-Newton型有理插值[J].河南科技大学学报(自然科学版),2006,27(6):83-86. 被引量:5
  • 2Tan J Q, Fang Y. Newton--Thiele's rational interpolants [J]. Numerical Algorithms, 2000, 24(1) : 141--157.
  • 3Schneider C, Werner W. Some new aspects of rational interpolation [J]. Mathmatics of Computation, 1986, 175(47) : 285--299.
  • 4Berrut J P,Trefethen L N. Baeycentric lagrange interpolation[J]. SIAM Review, 2004, 46(3) : 501--517.
  • 5Henrici P. Essentials of numerical analysis with pocket calculator demonstrations[M]. New York: John WileySons, 1982.
  • 6Floater M S, Hormann K. Baryeentric rational interpolation with no poles and high rates of approximations[J]. Numberische Mathematik,2007,107: 315-- 331.
  • 7Zhang Guofeng. Bivate Thiele-- type branched continued fraction and general order pade approximation[J].Appl Math Lett, 1989,2 (2) : 199 -- 202.
  • 8TAN J Q,FANG Y.Newton-Thiele’s rational interpolants[J].Numerical Algorithms,2000,24(1):141-157.
  • 9SCHNEIDER C,WERNER W.Some new aspects of rational interpolation[J].Mathematics of Computation,1986,175(47):285-299.
  • 10HENRICI P.Essentials of numerical analysis with pocket calculator demonstrations[M].New York:John Wiley&Sons,1982.

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