On the ill-conditioning in the new higher order multipoint method

DOI10.1016/j.camwa.2013.04.027zbMath1347.65127OpenAlexW2085326058MaRDI QIDQ305515

Irena Jaworska

Publication date: 30 August 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.04.027

zbMATH Keywords

regularizationmeshless methodsill-conditioningnumerical resultCollatz multipoint concepthigher-order approximationmeshless finite difference methodmultipoint algorithmmultipoint methodweighted least squares approximation

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of ill-posed problems involving ordinary differential equations (65L08)

Related Items (7)

Higher order multipoint method -- from Collatz to meshless FDM ⋮ Higher order meshless approximation applied to finite difference and finite element methods in selected thermomechanical problems ⋮ On nonlinear analysis by the multipoint meshless FDM ⋮ Generalization of the multipoint meshless FDM application to the nonlinear analysis ⋮ Higher order meshless schemes applied to the finite element method in elliptic problems ⋮ Higher order schemes introduced to the meshless FDM in elliptic problems ⋮ Combination of the meshless finite difference approach with the Monte Carlo random walk technique for solution of elliptic problems

Uses Software

• Mfree2D

Cites Work

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• A Fortran program to generate finite difference formulas
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• Scattered Data Approximation

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