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MOC
1998
106views more  MOC 1998»
13 years 9 months ago
Computations of class numbers of real quadratic fields
In this paper an unconditional probabilistic algorithm to compute the class number of a real quadratic field Q( √ d) is presented, which computes the class number in expected ti...
Anitha Srinivasan
MOC
1998
126views more  MOC 1998»
13 years 9 months ago
Implicit-explicit multistep finite element methods for nonlinear parabolic problems
We approximate the solution of initial boundary value problems for nonlinear parabolic equations. In space we discretize by finite element methods. The discretization in time is b...
Georgios Akrivis, Michel Crouzeix, Charalambos Mak...
MOC
1998
107views more  MOC 1998»
13 years 9 months ago
Fast algorithms for discrete polynomial transforms
Consider the Vandermonde-like matrix P := (Pk(cos jπ N ))N j,k=0, where the polynomials Pk satisfy a three-term recurrence relation. If Pk are the Chebyshev polynomials Tk, then P...
Daniel Potts, Gabriele Steidl, Manfred Tasche
MOC
2000
97views more  MOC 2000»
13 years 9 months ago
Families of irreducible polynomials of Gaussian periods and matrices of cyclotomic numbers
Given an odd prime p we show a way to construct large families of polynomials Pq(x) Q[x], q C, where C is a set of primes of the form q 1 mod p and Pq(x) is the irreducible poly...
F. Thaine
MOC
2000
88views more  MOC 2000»
13 years 9 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