On the convergence of waveform relaxation methods for linear initial value problems

Jian Yu Pan; Zhong Zhi Bai

On the convergence of waveform relaxation methods for linear initial value problems

Jian Yu Pan^*
, Zhong Zhi Bai

^*Corresponding author for this work

CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We study a class of blockwise waveform relaxation methods, and investigate its convergence properties in both asymptotic and monotone senses. In addition, the monotone convergence rates between different pointwise/blockwise waveform relaxation methods resulted from different matrix splittings, and those between the pointwise and blockwise waveform relaxation methods are discussed in depth.

Original language	English
Pages (from-to)	681-698
Number of pages	18
Journal	Journal of Computational Mathematics
Volume	22
Issue number	5
State	Published - Sep 2004
Externally published	Yes

Keywords

Asymptotic and monotone convergence
Blockwise waveform relaxation method
Comparison results

Cite this

@article{c6e4f14999174c2eb8b53c3466690b69,

title = "On the convergence of waveform relaxation methods for linear initial value problems",

abstract = "We study a class of blockwise waveform relaxation methods, and investigate its convergence properties in both asymptotic and monotone senses. In addition, the monotone convergence rates between different pointwise/blockwise waveform relaxation methods resulted from different matrix splittings, and those between the pointwise and blockwise waveform relaxation methods are discussed in depth.",

keywords = "Asymptotic and monotone convergence, Blockwise waveform relaxation method, Comparison results",

author = "Pan, \{Jian Yu\} and Bai, \{Zhong Zhi\}",

year = "2004",

month = sep,

language = "英语",

volume = "22",

pages = "681--698",

journal = "Journal of Computational Mathematics",

issn = "0254-9409",

publisher = "Global Science Press",

number = "5",

}

TY - JOUR

T1 - On the convergence of waveform relaxation methods for linear initial value problems

AU - Pan, Jian Yu

AU - Bai, Zhong Zhi

PY - 2004/9

Y1 - 2004/9

N2 - We study a class of blockwise waveform relaxation methods, and investigate its convergence properties in both asymptotic and monotone senses. In addition, the monotone convergence rates between different pointwise/blockwise waveform relaxation methods resulted from different matrix splittings, and those between the pointwise and blockwise waveform relaxation methods are discussed in depth.

AB - We study a class of blockwise waveform relaxation methods, and investigate its convergence properties in both asymptotic and monotone senses. In addition, the monotone convergence rates between different pointwise/blockwise waveform relaxation methods resulted from different matrix splittings, and those between the pointwise and blockwise waveform relaxation methods are discussed in depth.

KW - Asymptotic and monotone convergence

KW - Blockwise waveform relaxation method

KW - Comparison results

UR - https://www.scopus.com/pages/publications/5644229736

M3 - 文章

AN - SCOPUS:5644229736

SN - 0254-9409

VL - 22

SP - 681

EP - 698

JO - Journal of Computational Mathematics

JF - Journal of Computational Mathematics

IS - 5

ER -

On the convergence of waveform relaxation methods for linear initial value problems

Abstract

Keywords

Other files and links

Fingerprint

Cite this