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MOC
2010
14 years 4 months ago
Analysis of spectral approximations using prolate spheroidal wave functions
Abstract. In this paper, the approximation properties of the prolate spheroidal wave functions of order zero (PSWFs) are studied, and a set of optimal error estimates are derived f...
Li-lian Wang
MOC
2010
14 years 4 months ago
hp-Optimal discontinuous Galerkin methods for linear elliptic problems
Abstract. The aim of this paper is to present and analyze a class of hpversion discontinuous Galerkin (DG) discretizations for the numerical approximation of linear elliptic proble...
Benjamin Stamm, Thomas P. Wihler
MOC
2010
14 years 4 months ago
On interpolation by Planar cubic G2 pythagorean-hodograph spline curves
In this paper, the geometric interpolation of planar data points and boundary tangent directions by a cubic G2 Pythagorean-hodograph (PH) spline curve is studied. It is shown, that...
Gasper Jaklic, Jernej Kozak, Marjeta Krajnc, Vito ...
MOC
2010
14 years 4 months ago
Computation of conformal representations of compact Riemann surfaces
We find a system of two polynomial equations in two unknowns, whose solution allows us to give an explicit expression of the conformal representation of a simply connected three-sh...
Guillermo López Lagomasino, Domingo Pestana...
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MOC
2010
14 years 4 months ago
Sharpness in rates of convergence for the symmetric Lanczos method
The Lanczos method is often used to solve a large and sparse symmetric matrix eigenvalue problem. There is a well-established convergence theory that produces bounds to predict the...
Ren-Cang Li