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

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

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10.1023/a:1018983927675

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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",

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AU - Guo, Ben Yu

AU - Wang, Yuan ming

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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

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Keywords

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