Dynamical systems and sequence transformations

被引:10
作者
Brezinski, C [1 ]
机构
[1] Univ Sci & Technol Lille, Lab Analyse Numer & Optimisat, F-59655 Villeneuve Dascq, France
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 48期
关键词
D O I
10.1088/0305-4470/34/48/329
中图分类号
O4 [物理学];
学科分类号
0702 [物理学];
摘要
This paper discusses the connections between numerical methods for ordinary differential equations, fixed point iterations and sequence transformations.
引用
收藏
页码:10659 / 10669
页数:11
相关论文
共 35 条
[1]
[Anonymous], 1974, Differential Equations, Dynamical Systems, and Linear Algebra
[2]
[Anonymous], 1987, NONLINEAR METHODS NU
[3]
[Anonymous], 1991, TEXTS APPL MATH
[4]
NUMERICAL STABILITY OF A QUADRATIC METHOD FOR SOLVING SYSTEMS OF NON-LINEAR EQUATIONS [J].
BREZINSKI, C .
COMPUTING, 1975, 14 (03) :205-211
[5]
BREZINSKI C, 1974, CR ACAD SCI A MATH, V278, P875
[6]
Brezinski C., 1988, INT SER NUMER MATH, V86, P61
[7]
BREZINSKI C, 2000, CRM P LECT NOTES, V25, P53
[8]
Brezinski C., 1991, Extrapolation Methods, Theory and Practice, DOI DOI 10.1016/B978-0-444-88814-3.50004-0
[9]
DURAND E, 1972, SOLUTIONS NUMERIQUES, V2
[10]
ALWAYS QUADRATICALLY CONVERGENT MODIFICATION OF STEFFENSEN-PROCEDURE [J].
ESSER, H .
COMPUTING, 1975, 14 (04) :367-369