Application of a Taylor series to approximate a function with large gradients

DOI10.33048/SEMI.2023.20.087zbMATH Open1547.41027MaRDI QIDQ6587469

A. I. Zadorin

Publication date: 14 August 2024

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

zbMATH Keywords

error estimationTaylor series approximationmodificationboundary layer componentfunction of one or two variables with large gradients

Mathematics Subject Classification ID

Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Cites Work

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• A novel approach for the numerical approximation to the solution of singularly perturbed differential-difference equations with small shifts
• Fitted mesh \(B\)-spline collocation method for singularly perturbed differential-difference equations with small delay
• Differencing scheme for a differential equation with a small parameter affecting the highest derivative
• Non-polynomial interpolation of functions with large gradients and its application
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• The optimization of methods of solving boundary value problems with a boundary layer

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