Local Lagrange Interpolations Using Bivariate C-2 Splines of Degree Seven on Triangulated Quadrangulations

被引：0
|
作者：
Luo, Xuqiong [1 ]
Du, Qikui [1 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
来源：
JOURNAL OF MATHEMATICS | 2013年 / 2013卷
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1155/2013/638254
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A local Lagrange interpolation scheme using bivariate C-2 splines of degree seven over a checkerboard triangulated quadrangulation is constructed. The method provides optimal order approximation of smooth functions.
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页数：12
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  • [1] Lagrange interpolation by C1 cubic splines on triangulated quadrangulations
    Nürnberger, G
    Schumaker, LL
    Zeilfelder, F
    [J]. ADVANCES IN COMPUTATIONAL MATHEMATICS, 2004, 21 (3-4) : 357 - 380
  • [2] Lagrange Interpolation by C1 Cubic Splines on Triangulated Quadrangulations
    Günther Nürnberger
    Larry L. Schumaker
    Frank Zeilfelder
    [J]. Advances in Computational Mathematics, 2004, 21 : 357 - 380
  • [3] Local Lagrange Interpolations by Bivariate Cubic Splines with Boundary Conditions on Nonuniform Type-2 Triangulations
    Yu, Jinhong
    Liu, Huan-Wen
    [J]. INTERNATIONAL JOINT CONFERENCE ON COMPUTATIONAL SCIENCES AND OPTIMIZATION, VOL 1, PROCEEDINGS, 2009, : 140 - 144
  • [4] Local lagrange interpolation by bivariate C1 cubic splines
    Nürnberger, G
    Schumaker, LL
    Zeilfelder, R
    [J]. MATHEMATICAL METHODS FOR CURVES AND SURFACES: OSLO 2000, 2001, : 393 - 403
  • [5] Lagrange Interpolations by Bivariate C1 Cubic Splines on Powell-Sabin's Triangulations
    Chen, Sunkang
    Liu, Huanwen
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2010, 12 (01) : 163 - 171
  • [6] Lagrange interpolations using bivariate C2 quintic supersplines on double Clough-Tocher refinements
    Liu, Huan-Wen
    Fan, Le-Le
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (08) : 1636 - 1644
  • [7] Local Lagrange Interpolation by Double Periodic Bivariate Cubic Splines on Nonuniform Type-2 Triangulations
    Yu, Jin Hong
    Liu, Huan Wen
    [J]. PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION (ICMS2009), VOL 2, 2009, : 530 - 535
  • [8] Constructive methods in convex C-2 interpolation using quartic splines
    Mulansky, B
    Schmidt, JW
    [J]. NUMERICAL ALGORITHMS, 1996, 12 (1-2) : 111 - 124
  • [9] About one algorithm of C-2 interpolation using quartic splines
    Verlan, Igor
    [J]. COMPUTER SCIENCE JOURNAL OF MOLDOVA, 2009, 17 (01) : 37 - 47
  • [10] Scattered data interpolation using C-2 supersplines of degree six
    Lai, MJ
    Schumaker, LL
    [J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1997, 34 (03) : 905 - 921
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