ON THE ASYMPTOTIC CONVERGENCE OF SPLINE COLLOCATION METHODS FOR PARTIAL-DIFFERENTIAL EQUATIONS

被引:31
作者
ARNOLD, DN [1 ]
SARANEN, J [1 ]
机构
[1] UNIV OULU,FAC TECHNOL,DEPT MATH,SF-90570 OULU 57,FINLAND
关键词
D O I
10.1137/0721034
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:459 / 472
页数:14
相关论文
共 45 条
[1]  
Ahlberg J. H., 1967, THEORY SPLINES THEIR
[2]   CUBIC SPLINE SOLUTIONS TO 2-POINT BOUNDARY VALUE PROBLEMS [J].
ALBASINY, EL ;
HOSKINS, WD .
COMPUTER JOURNAL, 1969, 12 (02) :151-&
[3]   AN O(H4) CUBIC SPLINE COLLOCATION METHOD FOR QUASILINEAR PARABOLIC EQUATIONS [J].
ARCHER, D .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1977, 14 (04) :620-637
[4]   ON THE ASYMPTOTIC CONVERGENCE OF COLLOCATION METHODS [J].
ARNOLD, DN ;
WENDLAND, WL .
MATHEMATICS OF COMPUTATION, 1983, 41 (164) :349-381
[5]  
ARNOLD DN, 1983, MATH COMPUT, V41, P383, DOI 10.1090/S0025-5718-1983-0717692-8
[6]  
AUBIN JP, 1979, APPLIED FUNCTIONAL A
[7]  
AZIZ AK, 1981, MATH COMPUT, V37, P261, DOI 10.1090/S0025-5718-1981-0628694-2
[8]   ERROR-BOUNDS FOR FINITE ELEMENT METHOD [J].
BABUSKA, I .
NUMERISCHE MATHEMATIK, 1971, 16 (04) :322-&
[9]  
BABUSKA I, 1972, MATH FDN FINITE ELEM, P3
[10]   PIECEWISE CUBIC INTERPOLATION AND 2-POINT BOUNDARY PROBLEMS [J].
BICKLEY, WG .
COMPUTER JOURNAL, 1968, 11 (02) :206-&