An almost monotone approximation for a nonlinear two-point boundary value problem

Ben Yu Guo; Yuan ming Wang

doi:10.1023/a:1018983927675

An almost monotone approximation for a nonlinear two-point boundary value problem

Ben Yu Guo^*
, Yuan ming Wang

^*Corresponding author for this work

Shanghai University
Fudan University

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

11 Scopus citations

Abstract

Almost monotone approximation is proposed for nonlinear two-points problem. A general framework is given for studying the existence and uniqueness of numerical solutions. A discrete approximation with high accuracy is constructed. Nonlinear Jacobi iteration and Gauss-Seidel iteration are introduced to save work. The continuous approximation is also considered. The numerical results show the advantages of such an approach.

Original language	English
Pages (from-to)	65-96
Number of pages	32
Journal	Advances in Computational Mathematics
Volume	8
Issue number	1-2
DOIs	https://doi.org/10.1023/a:1018983927675
State	Published - 1998
Externally published	Yes

Keywords

Almost monotone approximation
Nonlinear Jacobi and Gauss-Seidel iterations
Nonlinear two-point problem

Access to Document

10.1023/a:1018983927675

Cite this

@article{b63dcfdcca3e4f8da644a790416e22c4,

title = "An almost monotone approximation for a nonlinear two-point boundary value problem",

abstract = "Almost monotone approximation is proposed for nonlinear two-points problem. A general framework is given for studying the existence and uniqueness of numerical solutions. A discrete approximation with high accuracy is constructed. Nonlinear Jacobi iteration and Gauss-Seidel iteration are introduced to save work. The continuous approximation is also considered. The numerical results show the advantages of such an approach.",

keywords = "Almost monotone approximation, Nonlinear Jacobi and Gauss-Seidel iterations, Nonlinear two-point problem",

author = "Guo, \{Ben Yu\} and Wang, \{Yuan ming\}",

year = "1998",

doi = "10.1023/a:1018983927675",

language = "英语",

volume = "8",

pages = "65--96",

journal = "Advances in Computational Mathematics",

issn = "1019-7168",

publisher = "Springer Netherlands",

number = "1-2",

}

TY - JOUR

T1 - An almost monotone approximation for a nonlinear two-point boundary value problem

AU - Guo, Ben Yu

AU - Wang, Yuan ming

PY - 1998

Y1 - 1998

N2 - Almost monotone approximation is proposed for nonlinear two-points problem. A general framework is given for studying the existence and uniqueness of numerical solutions. A discrete approximation with high accuracy is constructed. Nonlinear Jacobi iteration and Gauss-Seidel iteration are introduced to save work. The continuous approximation is also considered. The numerical results show the advantages of such an approach.

AB - Almost monotone approximation is proposed for nonlinear two-points problem. A general framework is given for studying the existence and uniqueness of numerical solutions. A discrete approximation with high accuracy is constructed. Nonlinear Jacobi iteration and Gauss-Seidel iteration are introduced to save work. The continuous approximation is also considered. The numerical results show the advantages of such an approach.

KW - Almost monotone approximation

KW - Nonlinear Jacobi and Gauss-Seidel iterations

KW - Nonlinear two-point problem

UR - https://www.scopus.com/pages/publications/0032332063

U2 - 10.1023/a:1018983927675

DO - 10.1023/a:1018983927675

M3 - 文章

AN - SCOPUS:0032332063

SN - 1019-7168

VL - 8

SP - 65

EP - 96

JO - Advances in Computational Mathematics

JF - Advances in Computational Mathematics

IS - 1-2

ER -

An almost monotone approximation for a nonlinear two-point boundary value problem

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this