Condition numbers in numerical methods for Fredholm integral equations of the second kind

DOI10.1216/jiea/1181074918zbMath1041.65109OpenAlexW2056392100MaRDI QIDQ1425613

C. Laurita, Giuseppe Mastroianni

Publication date: 17 March 2004

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181074918

zbMATH Keywords

Lagrange interpolationFredholm integral equations of the second kindconditioningprojection methodscondition numbers

Mathematics Subject Classification ID

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

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Cites Work

• Mean convergence of Lagrange interpolation. I
• Analysis of general quadrature methods for integral equations of the second kind
• Numerical analysis for integral and related operator equations.
• Lagrange interpolation in weighted Besov spaces
• Weighted polynomial inequalities with doubling and \(A_\infty\) weights
• Condition numbers for singular integral equations in weighted \(L^2\) spaces
• Remarks on Besov Spaces and Best Polynomial Approximation
• High-Order Methods for Linear Functionals of Solutions of Second Kind Integral Equations
• Asymptotics of Solutions to Pseudodifferential Equations of MELLIN Type
• The properties of solutions of weakly singular integral equations
• CONVERGENCE IN THE MEAN AND ALMOST EVERYWHERE OF FOURIER SERIES IN POLYNOMIALS ORTHOGONAL ON AN INTERVAL
• The Numerical Solution of Integral Equations of the Second Kind
• Sur l'interpolation (I)
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