The e-Algorithm and Multivariate Pade-Approximants
The effect of reduced integration in the Steklov eigenvalue problem
In this paper we analyze the effect of introducing a numerical integration in the piecewise linear finite element approximation of the Steklov eigenvalue problem. We obtain optimal order error estimates for the eigenfunctions when this numerical integration is used and we prove that, for singular eigenfunctions, the eigenvalues obtained using this reduced integration are better approximations than those obtained using exact integration when the mesh size is small enough.
The effect of reduced integration in the Steklov eigenvalue problem
In this paper we analyze the effect of introducing a numerical integration in the piecewise linear finite element approximation of the Steklov eigenvalue problem. We obtain optimal order error estimates for the eigenfunctions when this numerical integration is used and we prove that, for singular eigenfunctions, the eigenvalues obtained using this reduced integration are better approximations than those obtained using exact integration when the mesh size is small enough.
The eigenvalues of Hermite and rational spectral differentiation matrices.
The elimination of quantities and the solving of systems of transcendent equations by means of differential equations
The Error Norm of Gaussian Quadrature Formulae for Weight Functions of Bernstein-Szegö Type.
The error norm of Gauss-Lobatto quadrature formulae for weight functions of Bernstein-Szegö type.
The estimates for the reminder term of some quadrature formulae.
The Euler Maclaurin Expansion for the Cauchy Principal Value Integral.
The Fourier Analysis of Bezier Curves
The fractional transport equation: an analytical solution and a spectral approximation by Chebyshev polynomials.
The fundamentality of sets of ridge functions.
The General Neville-Aitken-Algorithm and Some Applications.
The General Recurrence Relation for Divided Differences and the General Newton-Interpolation-Algorithm With Applications to Trigonometric Interpolation.
The generalizations of Newton's interpolation formula due to Mühlbach and Andoyer.
The interplay between classical analysis and (numerical) linear algebra -- a tribute to Gene H. Golub.
The inverse of the star-discrepancy depends linearly on the dimension
The Nash-Kuiper process for curves
A strictly short embedding is an embedding of a Riemannian manifold into an Euclidean space that strictly shortens distances. From such an embedding, the Nash-Kuiper process builds a sequence of maps converging toward an isometric embedding. In that paper, we describe this Nash-Kuiper process in the case of curves. We state an explicit formula for the limit normal map and perform its Fourier series expansion. We then adress the question of Holder regularity of the limit map.
The numerical computation of a class of divergent integrals
The Numerical Computation of the Confluent Hypergeometric Function U(a,b,z)