Spline techniques for solving first-order evolution equations in Banach spaces

被引：2

作者：

Gyorfi, L ^{[1
]}

Joó, I ^{[1
]}

Sövegjártó, A ^{[1
]}

机构：

[1] Eotvos Lorand Univ, Dept Numer Anal, H-1088 Budapest, Hungary

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2001年 / 42卷 / 8-9期

关键词：

evolution equations; initial value problems; spline approximation; single step methods;

D O I：

10.1016/S0898-1221(01)00226-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to give a numerical method for the solution of evolution equations in Banach spaces. This method is based on a spline approximation of the exact solution which is a generalisation and continuation of earlier results [1-4]. It is considered to be a first-order evolutionary problem, given the numerical method and proven the convergence of the approximate solution. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：1123 / 1133

页数：11

共 20 条

[1]

[Anonymous], SIAM J NUMER ANAL

[2]

AXELSSON AOH, 1985, MATH COMPUT, V45, P153, DOI 10.1090/S0025-5718-1985-0790649-9

[3]

AXELSSON AOH, 1964, BIT, V4, P69

[4]

AXELSSON AOH, 1986, LECT NOTES MATH, V1192, P275

[5]

AXELSSON AOH, 1984, BIT KOBENHAVEN, V24, P413

[6] Adaptive refinement for convection-diffusion problems based on a defect-correction technique and finite difference method [J].

Axelsson, O ;

Nikolova, M .

COMPUTING, 1997, 58 (01) :1-30

[7]

Axelsson O., 1969, BIT (Nordisk Tidskrift for Informationsbehandling), V9, P185, DOI 10.1007/BF01946812

[8]

Cartan H, 1967, COURS CALCUL DIFFERE

[9]

GYORFI L, 1997, P 13 IMACS WORLD C S, V2, P301

[10] SPLINE FUNCTION APPROXIMATIONS FOR SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS [J].

LOSCALZO, FR ;

TALBOT, TD .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 73 (03) :438-&

← 1 2 →