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MOC
2010
15 years 1 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
15 years 1 months ago
On the numerical evaluation of Fredholm determinants
Some significant quantities in mathematics and physics are most naturally expressed as the Fredholm determinant of an integral operator, most notably many of the distribution funct...
Folkmar Bornemann
MOC
2010
15 years 1 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
15 years 1 months ago
Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions
Weak solutions for nonlinear wave equations involving the p(x)-Laplacian, for p : (1, ) are constructed as appropriate limits of solutions of an implicit finite element discretiz...
Jonas Haehnle, Andreas Prohl
MOC
2010
15 years 1 months ago
Proving modularity for a given elliptic curve over an imaginary quadratic field
We present an algorithm to determine if the L-series associated to an automorphic representation and the one associated to an elliptic curve over an imaginary quadratic field agree...
Luis Dieulefait, Lucio Guerberoff, Ariel Pacetti