Cubature formulas for a two-variable function with boundary-layer components

DOI10.1134/S0965542513120130zbMath1313.65042MaRDI QIDQ2940337

A. I. Zadorin

Publication date: 26 January 2015

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

zbMATH Keywords

error estimatesboundary layerdouble integralcubature formulatrapezoidal formulaNewton-Cotes formulasSimpson rulesnon-polynomial interpolationtwo-variable function

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (1)

Cubature formulas for two-variable functions with large gradients in the boundary layers

Cites Work

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• Interpolation of functions with boundary layer components and its application in a two-grid method
• 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

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