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

zbMath1329.65252MaRDI QIDQ890876

A. I. Zadorin, Nikita Alexandrovich Zadorin

Publication date: 16 November 2015

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

Full work available at URL: http://semr.math.nsc.ru/v8/p247-267.pdf

zbMATH Keywords

boundary layerelliptic problemtwo-grid methodnonpolynomial interpolation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Numerical interpolation (65D05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (10)

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 ⋮ Parabolic spline interpolation for functions with large gradient in the boundary layer ⋮ A Two-Grid Algorithm for Solution of the Difference Equations of a System of Singularly Perturbed Semilinear Equations ⋮ Interpolation Method for a Function with a Singular Component ⋮ Approximation of a function and its derivatives on the basis of cubic spline interpolation in the presence of a boundary layer ⋮ Cubic spline interpolation of functions with high gradients in boundary layers ⋮ Two-Dimensional Interpolation of Functions with Large Gradients in Boundary Layers

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