Eine neue Funktionalgleichung zur Bestimmung elliptischer Integrale erster Gattung und ihrer Umkehrungen.
Elementare Fehlerdarstellung für Abteilungen bei der Hermite-Interpolation.
Errata-Corrigé : «Les coefficients optimaux des formules d'intégration approximative»
Erratum. Barycentric Formulae for Cardinal (SINC-) Interpolants.
Error bound of certain Gaussian quadrature rules for trigonometric polynomials
Error Bounds for Rank 1 Lattice Quadrature Rules Modulo Composites.
Error Bounds for the Approximation of Green's Kernels by Splines.
Error Bounds for the Lobatto and Radau Quadrature Formulas.
Error estimate for quadratic spline interpolating the first derivatives
Error estimate in the sinc collocation method for Volterra-Fredholm integral equations based on DE transformation.
Error Estimates for Clenshaw-Curtis Quadrature.
Error Estimates for Gaussian Quadrature Formulae.
Error Estimates for Interpolatory Quadrature Formulae.
Error Estimates for Miller's Algorithm.
Error Estimates for Spline Interpolants on Equidistant Grids.
Error estimation for finite element solutions on meshes that contain thin elements
In an error estimation of finite element solutions to the Poisson equation, we usually impose the shape regularity assumption on the meshes to be used. In this paper, we show that even if the shape regularity condition is violated, the standard error estimation can be obtained if ``bad'' elements that violate the shape regularity or maximum angle condition are covered virtually by simplices that satisfy the minimum angle condition. A numerical experiment illustrates the theoretical result.
Error inequalities for a generalized quadrature rule.
Error inequalities for a quadrature formula of open type.
Estimates for spline projections
Estimating an even spherical measure from its sine transform
To reconstruct an even Borel measure on the unit sphere from finitely many values of its sine transform a least square estimator is proposed. Applying results by Gardner, Kiderlen and Milanfar we estimate its rate of convergence and prove strong consistency. We close this paper by giving an estimator for the directional distribution of certain three-dimensional stationary Poisson processes of convex cylinders which have applications in material science.