Optimization of nodes of composite quadrature formulas in the presence of a boundary layer

DOI10.33048/SEMI.2021.18.091zbMath1475.65012OpenAlexW4206337197WikidataQ113700846 ScholiaQ113700846MaRDI QIDQ2058321

Nikita Alexandrovich Zadorin

Publication date: 8 December 2021

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2021.18.091

zbMATH Keywords

numerical integrationerror estimationNewton-Cotes formulaGauss formulalarge gradientsfunction of one variableoptimization of nodes

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32)

Cites Work

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• Analogue of Newton-Cotes formulas for numerical integration of functions with a boundary-layer component
• Gauss quadrature on a piecewise uniform mesh for functions with large gradients in a boundary layer
• Fitted Numerical Methods For Singular Perturbation Problems
• Quadrature formulas for functions with a boundary-layer component
• The optimization of methods of solving boundary value problems with a boundary layer
• Lagrange interpolation and Newton-Cotes formulas for functions with boundary layer components on piecewise-uniform grids
• The necessity of Shishkin decompositions

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