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Guaranteed Error Bounds for Computed Solutions of Nonlinear Two-Point Boundary Value Problems

机译：非线性两点边值问题计算解的保证误差界

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摘要

A technique using Newton's Method with interval analysis is developed for computing global error bounds for computed solutions of nonlinear two-point boundary value problems. (Author)

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作者
Talbot, T. D.;
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年度 1968
页码 p.1-196
总页数 196
原文格式 PDF
正文语种 eng
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关键词
Nonlinear differential equations ; Boundary value problems ; Numerical analysis ; Initial value problems ; Iterative methods ; Approximation(Mathematics) ; Computer programs ; Errors ; Theorems;

机译：非线性微分方程;边值问题;数值分析;初值问题;迭代法;逼近（数学）;计算机程序;误差;定理;

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专利

1. Guaranteed computable bounds for the exact error in the finite element solution-Part II: bounds for the energy norm of the error in two dimensions [J] . T. Strouboulis, I. Babuska, S. K. Gangaraj International Journal for Numerical Methods in Engineering . 2000,第1a3期

机译：有限元解决方案中精确误差的可计算边界-第二部分：二维误差能量范数的边界
2. Guaranteed computable bounds for the exact error in the finite element solution Part I: One-dimensional model problem [J] . I. Babuika, T. Strouboulis, S.K. Gangaraj Computer Methods in Applied Mechanics and Engineering . 1999,第1a4期

机译：有限元解决方案中精确误差的可计算边界第一部分：一维模型问题
3. Effects of Nonlinearity on the Variational Iteration Solutions of Nonlinear Two-Point Boundary Value Problems with Comparison with Respect to Finite Element Analysis [J] . MehmetTar?kAtay, SafaBozkurtCo?kun Mathematical Problems in Engineering: Theory, Methods and Applications . 2008,第2期

机译：非线性对非线性两点边值问题变分迭代解的影响以及有限元分析的比较
4. Fourth-Order Solutions of Nonlinear Two-Point Boundary Value Problems By Newton-HSSOR Iteration [C] . Jumat Sulaiman, Mohd. Khatim Hasan, Mohamed Othman, International Conference on Mathematical Sciences . 2014

机译：Newton-HSSOR迭代的非线性两点边值问题的四阶解决方案
5. ERROR-BOUNDS FOR THE SOLUTION OF TWO-POINT BOUNDARY-VALUE PROBLEMS BASED ON THE KANTOROVICH THEOREM. [D] . MCCARTHY, MARY ANNE. 1973

机译：基于坎托洛维奇定理的两点边值问题解的误差界。
6. INVARIANT IMBEDDING CONSERVATION RELATIONS AND NONLINEAR EQUATIONS WITH TWO-POINT BOUNDARY VALUES [O] . Richard Bellman, Robert Kalaba, G. Milton Wing 1960

机译：具有两点边界值的不变嵌入守恒关系和非线性方程
7. Numerical Existence Proofs and Guaranteed Error Bounds for Solutions to Two-Point Boundary Value Problems (Recent Developments of Numerical Analysis and Numerical Computation Algorithms) [O] . Takayasu Akitoshi, Oishi Shinichi, Kubo Takayuki 2010

机译：两点边值问题解的数值存在证明和保证误差界（数值分析和数值计算算法的最新发展）
8. Computable A Posteriori (L sub infinity) Error Bounds for the Approximate Solution of Two Point Boundary Value Problems. [R] . mccarthy,mary anne tapia, r. a. 1974

机译：两点边值问题近似解的可计算后验（L子无穷大）误差界。

Guaranteed Error Bounds for Computed Solutions of Nonlinear Two-Point Boundary Value Problems

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