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Superconvergence of piecewise polynomial Galerkin approximations, for Fredholm integral equations of the second kind. (English) Zbl 0427.65091

MSC:
65R20 Numerical methods for integral equations
45B05 Fredholm integral equations
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References:
[1] Churchill, R.V.: Fourier series and boundary value problems, pp. 207-210. New York: McGraw-Hill 1963 · Zbl 0115.05802
[2] de Boor, C.: A bound on theL ?-norm ofL 2-approximation by splines in terms of a global mesh ratio. Math. Comput.30, 765-771 (1976) · Zbl 0345.65004
[3] Delves, L.M.: Rayleigh-Ritz-Galerkin methods. In: Numerical solution of integral equations (L.M. Delves, J. Walsh, eds.), pp. 108-124. Oxford: Clarendon Press 1974
[4] Douglas, Jr., J., Dupont, T.: Galerkin approximations for the two point boundary problem using continuous piecewise polynomial spaces. Numer. Math.22, 99-109 (1974) · Zbl 0331.65051 · doi:10.1007/BF01436724
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