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MOC
2000
69views more  MOC 2000»
13 years 11 months ago
Uniform hp convergence results for the mortar finite element method
The mortar finite element is an example of a non-conforming method which can be used to decompose and re-compose a domain into subdomains without requiring compatibility between th...
Padmanabhan Seshaiyer, Manil Suri
MOC
2000
78views more  MOC 2000»
13 years 11 months ago
Using number fields to compute logarithms in finite fields
We describe an adaptation of the number field sieve to the problem of computing logarithms in a finite field. We conjecture that the running time of the algorithm, when restricted ...
Oliver Schirokauer
MOC
2000
111views more  MOC 2000»
13 years 11 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
88views more  MOC 2000»
13 years 11 months ago
A posteriori error estimation for variational problems with uniformly convex functionals
The objective of this paper is to introduce a general scheme for deriving a posteriori error estimates by using duality theory of the calculus of variations. We consider variationa...
Sergey I. Repin
MOC
2000
85views more  MOC 2000»
13 years 11 months ago
Improving the convergence of non-interior point algorithms for nonlinear complementarity problems
Recently, based upon the Chen-Harker-Kanzow-Smale smoothing function and the trajectory and the neighbourhood techniques, Hotta and Yoshise proposed a noninterior point algorithm f...
Liqun Qi, Defeng Sun
MOC
2000
105views more  MOC 2000»
13 years 11 months ago
On the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed problems
The iteratively regularized Gauss-Newton method is applied to compute the stable solutions to nonlinear ill-posed problems F (x) = y when the data y is given approximately by y wit...
Jin Qi-nian
MOC
2000
86views more  MOC 2000»
13 years 11 months ago
Numerical algorithms for semilinear parabolic equations with small parameter based on approximation of stochastic equations
The probabilistic approach is used for constructing special layer methods to solve the Cauchy problem for semilinear parabolic equations with small parameter. Despite their probabi...
G. N. Milstein, M. V. Tretyakov
MOC
2000
109views more  MOC 2000»
13 years 11 months ago
A posteriori error estimation and adaptivity for degenerate parabolic problems
Abstract. Two explicit error representation formulas are derived for degenerate parabolic PDEs, which are based on evaluating a parabolic residual in negative norms. The resulting ...
Ricardo H. Nochetto, Alfred Schmidt, C. Verdi
MOC
2000
53views more  MOC 2000»
13 years 11 months ago
Evolution Galerkin methods for hyperbolic systems in two space dimensions
M. Lukácová-Medvid'ová, K. W....
MOC
2000
89views more  MOC 2000»
13 years 11 months ago
Computation of relative class numbers of CM-fields by using Hecke L-functions
We develop an efficient technique for computing values at s = 1 of Hecke L-functions. We apply this technique to the computation of relative class numbers of non-abelian CM-fields ...
Stéphane Louboutin