Numerical methods for Fredholm integral equations based on Padua points

DOI10.14658/PUPJ-DRNA-2022-5-4zbMATH Open1540.65556MaRDI QIDQ6556668

Maria Grazia Russo, Anna Lucia Laguardia

Publication date: 17 June 2024

Published in: Dolomites Research Notes on Approximation (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Cites Work

• \texttt{Padua2DM}: Fast interpolation and cubature at the Padua points in \texttt{MATLAB/Octave}
• Numerical methods for Fredholm integral equations on the square
• Bivariate Lagrange interpolation at the Padua points: the generating curve approach
• A fast numerical solution method for two dimensional Fredholm integral equations of the second kind based on piecewise polynomial interpolation
• Nontensorial Clenshaw-Curtis cubature
• Lagrange interpolation on Chebyshev points of two variables
• Numerical analysis of the radiosity equation using the collocation method
• Bivariate polynomial interpolation on the square at new nodal sets
• A novel and efficient numerical algorithm for solving 2D Fredholm integral equations
• Bivariate Lagrange interpolation at the Padua points: The ideal theory approach
• Exact order of the Lebesgue constants for bivariate Lagrange interpolation at certain node-systems
• The Numerical Solution of Integral Equations of the Second Kind
• Bivariate generalized Bernstein operators and their application to Fredholm integral equations
• Richardson extrapolation of iterated discrete Galerkin solution for two-dimensional Fredholm integral equations

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