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
[21]   USE OF CUBIC SPLINES IN SOLUTION OF 2-POINT BOUNDARY VALUE PROBLEMS [J].
FYFE, DJ .
COMPUTER JOURNAL, 1969, 12 (02) :188-&
[22]  
GLADWELL I, 1975, J I MATH APPL, V16, P93
[23]   COLLOCATION METHOD FOR SYSTEMS OF NON-LINEAR ORDINARY DIFFERENTIAL-EQUATIONS [J].
HOUSTIS, E .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1978, 62 (01) :24-37
[24]  
ITO T, 1972, THESIS BROWN U PROVI
[25]  
Kantorovitch L. V, 1934, DOKL AKAD NAUK SSSR, V4, P532
[26]  
Kantorovitch L. V, 1964, FUNCTIONAL ANAL NORM
[27]  
Karpilovskaya E.B., 1953, USP MAT NAUK, V8, P111
[28]  
KARPILOVSKAYA EB, 1970, USSR COMPUT MATH MAT, P240
[29]  
KARPILOVSKAYA EB, 1963, SOVIET MATH DOKL, P1070
[30]  
LANCZOS C, 1956, APPLIED ANAL