Asymptotic analysis of boundary conditions for quintic splines

被引:0
|
作者
S. S. Primakov
机构
[1] Sobolev Institute of Mathematics,
[2] Novosibirsk State University,undefined
关键词
quintic spline; spline-interpolation; boundary conditions;
D O I
10.3103/S1055134412040049
中图分类号
学科分类号
摘要
In this article, we consider various boundary conditions for interpolation of quintic splines of defect 1 on a uniform mesh. We obtain an asymptotic representation of the approximation error for the spline for different boundary conditions. Boundary conditions that are optimal by approximation accuracy are found.
引用
下载
收藏
页码:275 / 286
页数:11
相关论文
共 50 条
  • [21] Asymptotic analysis of the telegraph system with nonlinear boundary conditions
    Barbu, L
    Cosma, E
    Morosanu, G
    Wendland, WL
    DIFFERENTIAL EQUATIONS AND CONTROL THEORY, 2002, 225 : 63 - 76
  • [22] Asymptotic analysis for the eikonal equation with the dynamical boundary conditions
    Al-Aidarous, Eman S.
    Alzahrani, Ebraheem O.
    Ishii, Hitoshi
    Younas, Arshad M. M.
    MATHEMATISCHE NACHRICHTEN, 2014, 287 (14-15) : 1563 - 1588
  • [23] Asymptotic analysis of the Gunn effect with realistic boundary conditions
    Bonilla, L.L.
    Cantalapiedra, I.R.
    Gomila, G.
    Rubi, J.M.
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1997, 56 (02):
  • [24] Integro quintic splines and their approximation properties
    Zhanlav, T.
    Mijiddorj, R.
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 231 : 536 - 543
  • [25] NUMERICAL CALCULATION OF QUINTIC SPLINES BY BLOCKUNDERRELAXATION
    SPATH, H
    COMPUTING, 1971, 7 (1-2) : 75 - &
  • [26] ERROR BOUNDS FOR PERIODIC QUINTIC SPLINES
    HALL, CA
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 92 - &
  • [27] ERROR BOUNDS FOR PERIODIC QUINTIC SPLINES
    HALL, CA
    COMMUNICATIONS OF THE ACM, 1969, 12 (08) : 450 - &
  • [28] OVERCONVERGENCE PROPERTIES OF QUINTIC INTERPOLATORY SPLINES
    BEHFOROOZ, G
    PAPAMICHAEL, N
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1988, 24 (03) : 337 - 347
  • [29] JUSTIFICATION OF THE BOUNDARY-CONDITIONS OF A CLAMPED PLATE BY AN ASYMPTOTIC ANALYSIS
    CIARLET, PG
    LEDRET, H
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1988, 307 (20): : 1015 - 1018
  • [30] Analysis of Substrate Integrated Waveguides by Asymptotic Strips Boundary Conditions
    Yeh, Nan-Keng
    Kehn, Malcolm Ng Mou
    2014 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM (APSURSI), 2014, : 127 - 128