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LINEAR ACCELERATION OF PICARD-LINDELOF ITERATION

被引：27
作者：
NEVANLINNA, O
机构：
[1] Institute of mathematics, Helsinki University of Technology, Espoo
来源：
NUMERISCHE MATHEMATIK | 1990年 / 57卷 / 02期
关键词：
Subject Classifications: AMS(MOS):65B99; 65L05; CR:G1.7;
D O I：
10.1007/BF01386404
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The possibility to accelerate the Picard-Lindelöf process by taking linear combinations of the iterates is discussed. The convergence is studied on infinitely long intervals. © 1990 Springer-Verlag.
引用
收藏
页码：147 / 156
页数：10
相关论文
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Markushevich A. I., 1977, THEORY FUNCTIONS COM, VIII
[2]   CONVERGENCE OF DYNAMIC ITERATION METHODS FOR INITIAL-VALUE PROBLEMS [J].
MIEKKALA, U ;
NEVANLINNA, O .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1987, 8 (04) :459-482
[3]   REMARKS ON PICARD-LINDELOF ITERATION .2. [J].
NEVANLINNA, O .
BIT, 1989, 29 (03) :535-562
[4]  
NEVANLINNA O, IN PRESS POWER BOUND
[5]  
NEVANLINNA O, 1988, BIT, V29, P328
[6]   WAVEFORM ITERATION AND THE SHIFTED PICARD SPLITTING [J].
SKEEL, RD .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1989, 10 (04) :756-776
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