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Factorization Method for Two Points Boundary Value Problems for ODE's and Its Relation to the Finite Difference Method

机译：ODE两点边值问题的因式分解方法及其与有限差分法的关系

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摘要

The paper shows that the elimination method for solving the system of linear equation stemming from finite differences or finite elements is a special numerical method for solving certain initial value problems for an ordinary differential equation. Various conclusions are drawn from this observation. (Author)

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作者
Babuska, I.; Majer, V.;
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年度 1984
页码 p.1-25
总页数 25
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Numerical methods and procedures; Boundary value problems; Differential equations; Finite difference theory; Elimination; Finite element analysis; Linear algebraic equations; Perturbations; Transformations(Mathematics);

机译：数值方法和程序;边值问题;微分方程;有限差分理论;消除;有限元分析;线性代数方程;扰动;变换（数学）;

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1. THE NUMERICAL SOLUTION OF THIRD-ORDER NON-LOCAL BOUNDARY VALUE PROBLEMS IN ODES BY THE FINITE DIFFERENCE METHOD [J] . Pramod Kumar Pandey ROMAI journal . 2019,第1期

机译：有限差分法求解Odes中的三阶非局部边值问题的数值解
2. B-spline interpolation compared with finite difference, finite element and finite volume methods which applied to two-point boundary value problems [J] . Caglar H, Caglar N, Elfaituri K Applied mathematics and computation . 2006,第1期

机译：B样条插值与有限差分，有限元和有限体积方法的比较，该方法适用于两点边值问题
3. Finite difference, finite element and finite volume methods applied to two-point boundary value problems [J] . Qing Fang, Takuya Tsuchiya, Tetsuro Yamamoto Journal of Computational and Applied Mathematics . 2002,第1期

机译：有限差分，有限元和有限体积方法应用于两点边值问题
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5. Numerical Methods for the Landau-Lifshitz Equation in Micromagnetics : The Mimetic Finite Difference Method and the Mass-Lumped Finite Element Method. [D] . Kim, Eugenia Hail. 2017

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6. Finite Difference Methods for Option Pricing under Lévy Processes: Wiener-Hopf Factorization Approach [O] . Oleg Kudryavtsev 2013

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7. Finite difference, finite element and finite volume methods applied to two-point boundary value problems [O] . Fang Qing, Tsuchiya Takuya, Yamamoto Tetsuro 2002

机译：有限差分，有限元和有限体积方法应用于两点边值问题

Factorization Method for Two Points Boundary Value Problems for ODE's and Its Relation to the Finite Difference Method

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