Trigonometric Hermite interpolation method for Fredholm linear integral equations

DOI10.1515/jaa-2022-2002OpenAlexW4313893636MaRDI QIDQ6085006

Publication date: 2 December 2023

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa-2022-2002

zbMATH Keywords

Fredholm integral equation quadrature rule Hermite spline interpolation algebraic trigonometric B-splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Trigonometric interpolation (42A15) Spline approximation (41A15)

Cites Work

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Solving Fredholm integral equations by approximating kernels by spline quasi-interpolants
Two cubic spline methods for solving Fredholm integral equations
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Hermite interpolation with B-splines
Shape preserving interpolation by quadratic splines
The collocation method for solving the radiosity equation for unoccluded surfaces
Algebraic hyperbolic spline quasi-interpolants and applications
Two methods based on bivariate spline quasi-interpolants for solving Fredholm integral equations
Cardinal interpolation and spline functions. V. The B-splines for cardinal Hermite interpolation
Piecewise \(C^ 1\)-shape-preserving Hermite interpolation
\(C^ 1\) comonotone Hermite interpolation via parametric cubics
Superconvergent product integration method for Hammerstein integral equations
Computation of Hermite interpolation in terms of B-spline basis using polar forms
Iteration methods for Fredholm integral equations of the second kind based on spline quasi-interpolants
Superconvergent Nyström and degenerate kernel methods for Hammerstein integral equations
Nyström method for Fredholm integral equations of the second kind in two variables on a triangle
On Shape Preserving Quadratic Spline Interpolation
A New Collocation-Type Method for Hammerstein Integral Equations
Smooth reverse subdivision of uniform algebraic hyperbolic B-splines and wavelets

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