On spline approximation for a class of integral equations. I: Galerkin and collocation methods with piecewise polynomials. (English) Zbl 0662.65112

The numerical solution of a class of one-dimensional noncompact integral equations by Galerkin and collocation methods, using piecewise polynomials as basis functions, is studied. Results concerning the stability of the approximation methods without any conditions on the norm of the integral operators are obtained.
Reviewer: C.L.Koul


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