Asymptotic Error Estimates for the Gauss Quadrature Formula
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Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature
We derive in this paper the asymptotic estimates of the nodes and weights of the Gauss-Lobatto-Legendre-Birkhoff (GLLB) quadrature formula, and obtain optimal error estimates for the associated GLLB interpolation in Jacobi weighted Sobolev spaces. We also present a useroriented implementation of the pseudospectral methods based on the GLLB quadrature nodes for Neumann problems. This approach al...
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