Rigorous enclosures of solutions of Neumann boundary value problems

被引：0

作者：

Ramos, Eduardo ^{[1
]}

Nolasco, Victor ^{[1
]}

Gameiro, Marcio ^{[1
,2
]}

机构：

[1] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, BR-13560970 Sao Carlos, SP, Brazil

[2] Rutgers State Univ, Dept Math, Piscataway, NJ USA

来源：

APPLIED NUMERICAL MATHEMATICS | 2022年 / 180卷

基金：

美国国家卫生研究院; 瑞典研究理事会; 美国国家科学基金会; 巴西圣保罗研究基金会;

关键词：

Newton-Kantorovich theorem; Rigorous numerics; Computer-assisted proofs; Boundary value problems; INVARIANT-MANIFOLDS; CONNECTING ORBITS; PARAMETERIZATION; CONTINUATION; NUMERICS;

D O I：

10.1016/j.apnum.2022.05.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is dedicated to the problem of isolating and validating zeros of non-linear two point boundary value problems. We present a method for such purpose based on the Newton-Kantorovich Theorem to rigorously enclose isolated zeros of two point boundary value problem with Neumann boundary conditions.

引用

页码：104 / 119

页数：16

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