A NOTE ON THE CONVERGENCE OF DISCRETIZED DYNAMIC ITERATION

被引：25

作者：

BJORHUS, M ^{[1
]}

机构：

[1] NORWEGIAN INST TECHNOL,DEPT MATH SCI,N-7034 TRONDHEIM,NORWAY

来源：

BIT | 1995年 / 35卷 / 02期

关键词：

DYNAMIC ITERATION; WAVE-FORM RELAXATION; RUNGE-KUTTA METHODS; ERROR ESTIMATES;

D O I：

10.1007/BF01737168

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this note we prove convergence results, including error estimates, for the dynamic iteration scheme where the forward Euler and backward Euler method are used to compute the iterates. The proofs are interesting in that they are exact analogues of the proof for the continuous case, using discrete versions of Gronwall's inequality.

引用

页码：291 / 296

页数：6

共 7 条

[1] THE USE OF RUNGE-KUTTA FORMULAS IN WAVE-FORM RELAXATION METHODS [J].

BELLEN, A ;

ZENNARO, M .

APPLIED NUMERICAL MATHEMATICS, 1993, 11 (1-3) :95-114

[2]

BJORHUS M, 1994, BIT, V34, P325, DOI 10.1007/BF01935642

[3]

BJORHUS M, 1992, 1 U TRONDH DEP MATH

[4]

HAIRER E, 1987, SPRINGER SERIES COMP, V8

[5] SETS OF CONVERGENCE AND STABILITY REGIONS [J].

MIEKKALA, U ;

NEVANLINNA, O .

BIT, 1987, 27 (04) :554-584

[6] REMARKS ON PICARD-LINDELOF ITERATION .1. [J].

NEVANLINNA, O .

BIT, 1989, 29 (02) :328-346

[7]

ZENNARO M, 1992, HANDWRITTEN LECTURES

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