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MOC
2002
185views more  MOC 2002»
13 years 4 months ago
Repunit R49081 is a probable prime
The Repunit R49081 = (1049081 - 1)/9 is a probable prime. In order to prove primality R49080 must be approximately 33.3% factored. The status of this factorization is included. Rep...
Harvey Dubner
MOC
2002
86views more  MOC 2002»
13 years 4 months ago
An algorithm for finding all preprojective components of the Auslander-Reiten quiver
Abstract. The Auslander-Reiten quiver of a finite-dimensional associative algebra A encodes information about the indecomposable finite-dimensional representations of A and their h...
Peter Dräxler, Klara Kögerler
MOC
2002
103views more  MOC 2002»
13 years 4 months ago
A computational approach to Hilbert modular group fixed points
Some useful information is known about the fundamental domain for certain Hilbert modular groups. The six nonequivalent points with nontrivial isotropy in the fundamental domains u...
Jesse Ira Deutsch
MOC
2002
151views more  MOC 2002»
13 years 4 months ago
Mixed finite element methods for unilateral problems: convergence analysis and numerical studies
In this paper, we propose and study different mixed variational methods in order to approximate with finite elements the unilateral problems arising in contact mechanics. The discr...
Patrice Coorevits, Patrick Hild, Khalid Lhalouani,...
MOC
2002
58views more  MOC 2002»
13 years 4 months ago
Kirkman triple systems of order 21 with nontrivial automorphism group
There are 50,024 Kirkman triple systems of order 21 admitting an automorphism of order 2. There are 13,280 Kirkman triple systems of order 21 admitting an automorphism of order 3. ...
Myra B. Cohen, Charles J. Colbourn, Lee A. Ives, A...
MOC
2002
81views more  MOC 2002»
13 years 4 months ago
Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection--diffusion problem
We study the convergence properties of the hp-version of the local discontinuous Galerkin finite element method for convection-diffusion problems; we consider a model problem in a ...
Paul Castillo, Bernardo Cockburn, Dominik Schö...
MOC
2002
56views more  MOC 2002»
13 years 4 months ago
Symbolic Hamburger-Noether expressions of plane curves and applications to AG codes
Antonio Campillo, José Ignacio Farrá...
MOC
2002
98views more  MOC 2002»
13 years 4 months ago
Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems
Abstract. A new strategy to avoid the order reduction of Runge-Kutta methods when integrating linear, autonomous, nonhomogeneous initial boundary value problems is presented. The s...
Mari Paz Calvo, Cesar Palencia
MOC
2002
108views more  MOC 2002»
13 years 4 months ago
Convergence of the multigrid $V$-cycle algorithm for second-order boundary value problems without full elliptic regularity
The multigrid V -cycle algorithm using the Richardson relaxation scheme as the smoother is studied in this paper. For second-order elliptic boundary value problems, the contraction...
Susanne C. Brenner
MOC
2002
128views more  MOC 2002»
13 years 4 months ago
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM
Averaging techniques are popular tools in adaptive finite element methods since they provide efficient a posteriori error estimates by a simple postprocessing. In the second paper ...
Sören Bartels, Carsten Carstensen