Collocation and Fredholm integral equations of the first kind.

Hanna, George; Roumeliotis, John; Kucera, Adam

Displaying similar documents to “Collocation and Fredholm integral equations of the first kind.”

On boundary element methods for solving elliptic boundary value problems

Wendland, Wolfgang L.

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On the asymptotic convergence of the polynomial collocation method for singular integral equations and periodic pseudodifferential equations

A. I. Fedotov (2002)

Archivum Mathematicum

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We prove the convergence of polynomial collocation method for periodic singular integral, pseudodifferential and the systems of pseudodifferential equations in Sobolev spaces $H^{s}$ via the equivalence between the collocation and modified Galerkin methods. The boundness of the Lagrange interpolation operator in this spaces when $s > 1 / 2$ allows to obtain the optimal error estimate for the approximate solution i.e. it has the same rate as the best approximation of the exact solution by the polynomials. ...