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One dimensional collocation at Gaussian points and superconvergence at interior nodal points. (English) Zbl 0761.65061
The author develops a normal extension method of superconvergence at interior nodal points which was recently pointed out by M. Bakker [SIAM J. Numer. Anal. 21, 101-110 (1984; Zbl 0571.65078)]. The already known results in case of two-point boundary value problems are proved in a more general way using general boundary conditions.
MSC:
65L10 Numerical solution of boundary value problems involving ordinary differential equations
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
34B05 Linear boundary value problems for ordinary differential equations
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