Some smoothness conditions and conformality conditions for bivariate quartic and quintic splines

被引：2
|
作者：
Liu, HW [1 ]
Hong, D
机构：
[1] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia
[2] E Tennessee State Univ, Dept Math, Johnson City, TN 37614 USA
来源：
CALCOLO | 1999年 / 36卷 / 01期
关键词：
D O I：
10.1007/s100920050022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with a study of some new formulations of smoothness conditions and conformality conditions for multivariate splines in terms of B-net representation. In the bivariate setting, a group of new parameters of bivariate quartic and quintic polynomials over a planar simplex is introduced, new formulations of smoothness conditions of bivariate quartic C-1 splines and quintic C-2 splines are given, and the conformality conditions of bivariate quartic C-1 splines are simplified.
引用
收藏
页码：43 / 61
页数：19
相关论文
共 50 条
  • [31] On stability conditions for the quintic threefold
    Chunyi Li
    Inventiones mathematicae, 2019, 218 : 301 - 340
  • [32] ON SOME SETS OF SUFFICIENT CONDITIONS LEADING TO THE NORMAL BIVARIATE DISTRIBUTION
    Bhattacharyya, A.
    SANKHYA, 1943, 6 : 399 - 406
  • [33] POSITIVITY CONDITIONS FOR QUARTIC POLYNOMIALS
    ULRICH, G
    WATSON, LT
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1994, 15 (03): : 528 - 544
  • [34] On equivalent conditions of asymptotical conformality for quasiconformal curves
    Gutlyanskii, VY
    Ryazanov, VI
    DOKLADY AKADEMII NAUK, 1997, 353 (02) : 153 - 154
  • [35] About Some Properties of Bivariate Splines with Shape Parameters
    Calio, F.
    Marchetti, E.
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2016 (ICNAAM-2016), 2017, 1863
  • [36] Smoothness conditions and Fourier series
    Tikhonov, Sergey
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2007, 10 (02): : 229 - 242
  • [37] Local Lagrange Interpolations by Bivariate Cubic Splines with Boundary Conditions on Nonuniform Type-2 Triangulations
    Yu, Jinhong
    Liu, Huan-Wen
    INTERNATIONAL JOINT CONFERENCE ON COMPUTATIONAL SCIENCES AND OPTIMIZATION, VOL 1, PROCEEDINGS, 2009, : 140 - 144
  • [38] Application of quintic B-splines collocation method for solving inverse Rosenau equation with Dirichlet’s boundary conditions
    Akram Saeedi
    Reza Pourgholi
    Engineering with Computers, 2017, 33 : 335 - 348
  • [39] A CONVERGENCE THEOREM FOR SOME NEWTON TYPE METHODS UNDER WEAK SMOOTHNESS CONDITIONS
    Pacurar, Madalina
    Berinde, Vasile
    APLIMAT 2007 - 6TH INTERNATIONAL CONFERENCE, PT II, 2007, : 265 - 270
  • [40] Application of quintic B-splines collocation method for solving inverse Rosenau equation with Dirichlet's boundary conditions
    Saeedi, Akram
    Pourgholi, Reza
    ENGINEERING WITH COMPUTERS, 2017, 33 (03) : 335 - 348
12345