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MOC
1998
95views more  MOC 1998»
13 years 10 months ago
The Trotter-Kato theorem and approximation of PDEs
Abstract. We present formulations of the Trotter-Kato theorem for approximation of linear C0-semigroups which provide very useful framework when convergence of numerical approximat...
Kazufumi Ito, Franz Kappel
MOC
2000
75views more  MOC 2000»
13 years 10 months ago
Some polynomials over Q(t) and their Galois groups
Abstract. Examples of polynomials with Galois group over Q(t) corresponding to every transitive group through degree eight are calculated, constructively demonstrating the existenc...
Gene Ward Smith
MOC
2000
83views more  MOC 2000»
13 years 10 months ago
A hierarchical method for obtaining eigenvalue enclosures
We introduce a new method of obtaining guaranteed enclosures of the eigenvalues of a variety of self-adjoint differential and difference operators with discrete spectrum. The metho...
E. B. Davies
MOC
2000
71views more  MOC 2000»
13 years 10 months ago
Salem numbers of negative trace
We prove that, for all d 4, there are Salem numbers of degree 2d and trace -1, and that the number of such Salem numbers is d/ (log log d)2 . As a consequence, it follows that the...
C. J. Smyth
MOC
2000
132views more  MOC 2000»
13 years 10 months ago
Lattice computations for random numbers
We improve on a lattice algorithm of Tezuka for the computation of the k-distribution of a class of random number generators based on finite fields. We show how this is applied to ...
Raymond Couture, Pierre L'Ecuyer