Analogue of Newton-Cotes formulas for numerical integration of functions with a boundary-layer component

DOI10.1134/S0965542516030179zbMath1348.65062MaRDI QIDQ2630031

Nikita Alexandrovich Zadorin, A. I. Zadorin

Publication date: 8 July 2016

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

numerical examplesboundary value problemsquadrature formulasingular perturbation problemfunctions with a boundary-layerNewton-Cotes formulas, error estimate

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Singular perturbations for ordinary differential equations (34E15) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (2)

Non-polynomial interpolation of functions with large gradients and its application ⋮ Optimization of nodes of composite quadrature formulas in the presence of a boundary layer

Cites Work

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• Interpolation of functions with boundary layer components and its application in a two-grid method
• Interpolation formula for functions with a boundary layer component and its application to derivatives calculation
• Quadrature Formula with Five Nodes for Functions with a Boundary Layer Component
• Fitted Numerical Methods For Singular Perturbation Problems
• Quadrature formulas for functions with a boundary-layer component
• Spline interpolation on a uniform grid for functions with a boundary-layer component
• Difference Methods for Singular Perturbation Problems
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• An analogue of the four-point Newton-Cotes formula for a function with a boundary-layer component

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