The Use of Collocation as a Projection Method for Solving Linear Operator Equations

DOI10.1137/0709003zbMath0204.48004OpenAlexW1980132379MaRDI QIDQ5604163

James L. Phillips

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1137/0709003

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Love--Lieb Integral Equations: Applications, Theory, Approximations, and Computations ⋮ A finite element based collocation method for eigenvalue calculations ⋮ The iterated Galerkin method for linear integro-differential equations ⋮ Preconditioned conjugate gradient methods for the solution of Love's integral equation with very small parameter ⋮ Numerical treatment of the generalized Love integral equation ⋮ On the \(L_2\) convergence of collocation for the generalized airfoil equation ⋮ Error Analysis for Direct Linear Integral Equation Methods ⋮ Critical problem for finite slabs with sinusoidally space-dependent scattering ratio ⋮ Accelerated projection methods ⋮ The numerical treatment of Love's integral equation having very small parameter ⋮ Sinc Nyström Method for Singularly Perturbed Love's Integral Equation ⋮ Some projection methods for the eigenvalue problem ⋮ A quasi-interpolation product integration based method for solving Love's integral equation with a very small parameter ⋮ Finite difference approximations to one-dimensional parabolic equations using a cubic spline technique ⋮ THE ROLES OF A WEAK SINGULARITY AND THE GRID UNIFORMITY IN RELATIVE ERROR BOUNDS ⋮ The solution of Faddeev integral equations for three-body scattering by means of B-splines ⋮ On the compactness of certain integral operators ⋮ Numerical solutions for weakly singular Fredholm integral equations of the second kind ⋮ A Collocation Method for Two-Point Boundary Value Problems ⋮ A note on the rate of convergence of Schauder decomposition ⋮ Regular convergence of operators and approximate solution of equations ⋮ Legendre-collocation spectral solver for variable-order fractional functional differential equations

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