Projection Methods and Condition Numbers in Uniform Norm for Fredholm and Cauchy Singular Integral Equations

DOI10.1137/050626934zbMath1124.65122OpenAlexW1987967665MaRDI QIDQ5757394

Giuseppe Mastroianni, Maria Carmela De Bonis

Publication date: 6 September 2007

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050626934

zbMATH Keywords

Fredholm integral equationscollocation methodsLagrange interpolationprojection methodCauchy singular integral equationFourier sum

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Integral equations with kernels of Cauchy type (45E05)

Related Items (19)

Nyström method for Cauchy singular integral equations with negative index ⋮ Quadrature methods for integro-differential equations of Prandtl's type in weighted spaces of continuous functions ⋮ Projection methods for Fredholm integral equations on the real semiaxis ⋮ A projection method for Volterra integral equations in weighted spaces of continuous functions ⋮ Fast and accurate solvers for weakly singular Volterra integral equations in weighted spaces ⋮ Nyström methods for bivariate Fredholm integral equations on unbounded domains ⋮ A note on the alternate trapezoidal quadrature method for Fredholm integral eigenvalue problems ⋮ Numerical methods for Fredholm integral equations with singular right-hand sides ⋮ Solution of second kind Fredholm integral equations by means of Gauss and anti-Gauss quadrature rules ⋮ Numerical methods for Fredholm integral equations on the square ⋮ Numerical treatment of second kind Fredholm integral equations systems on bounded intervals ⋮ Well-conditioned matrices for numerical treatment of Fredholm integral equations of the second kind ⋮ Numerical methods for Cauchy bisingular integral equations of the first kind on the square ⋮ A Nyström method for Fredholm integral equations on the real line ⋮ A Nyström method for Fredholm integral equations with right-hand sides having isolated singularities ⋮ Nyström-quasilinearization method and smoothing transformation for the numerical solution of nonlinear weakly singular Fredholm integral equations ⋮ Convergence analysis of a highly accurate Nyström scheme for Fredholm integral equations ⋮ Weakly singular linear Volterra integral equations: a Nyström method in weighted spaces of continuous functions ⋮ Some numerical applications of generalized Bernstein operators

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