Quadrature formulas for functions with a boundary-layer component

DOI10.1134/S0965542511110157zbMath1249.65053MaRDI QIDQ2901110

A. I. Zadorin, Nikita Alexandrovich Zadorin

Publication date: 16 July 2012

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

zbMATH Keywords

error estimatesnumerical experimentsquadrature formulasboundary layerdefinite integraltrapezoidal and Simpson rulesnon-polynomial interpolationhigh gradientsone-variable functions

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (7)

Lagrange interpolation and the Newton-Cotes formulas on a Bakhvalov mesh in the presence of a boundary layer ⋮ Analogue of Newton-Cotes formulas for numerical integration of functions with a boundary-layer component ⋮ Non-polynomial interpolation of functions with large gradients and its application ⋮ Cubature formulas for a two-variable function with boundary-layer components ⋮ Modification of the Euler quadrature formula for functions with a boundary-layer component ⋮ Cubature formulas for two-variable functions with large gradients in the boundary layers ⋮ Optimization of nodes of composite quadrature formulas in the presence of a boundary layer

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