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MOC
2000
88views more  MOC 2000»
13 years 9 months ago
On the error term of symmetric Gauss-Lobatto quadrature formulae for analytic functions
Gauss-Lobatto quadrature formulae associated with symmetric weight functions are considered. The kernel of the remainder term for classes of analytic functions is investigated on e...
David Hunter, Geno Nikolov
MOC
2000
111views more  MOC 2000»
13 years 9 months ago
Voronoi's algorithm in purely cubic congruence function fields of unit rank 1
The first part of this paper classifies all purely cubic function fields over a finite field of characteristic not equal to 3. In the remainder, we describe a method for computing ...
Renate Scheidler, Andreas Stein
MOC
2000
76views more  MOC 2000»
13 years 9 months ago
The convergence of the cascadic conjugate-gradient method applied to elliptic problems in domains with re-entrant corners
Abstract. We study the convergence properties of the cascadic conjugategradient method (CCG-method), which can be considered as a multilevel method without coarse-grid correction. ...
Vladimir Shaidurov, Lutz Tobiska
MOC
2000
91views more  MOC 2000»
13 years 9 months ago
A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature
We treat the time discretization of an initial-value problem for a ous abstract parabolic equation by first using a representation of the solution as an integral along the boundary...
Dongwoo Sheen, Ian H. Sloan, Vidar Thomée
MOC
2000
127views more  MOC 2000»
13 years 9 months ago
Can a finite element method perform arbitrarily badly?
In this paper we construct elliptic boundary value problems whose standard finite element approximations converge arbitrarily slowly in the energy norm, and show that adaptive proc...
Ivo Babuska, John E. Osborn