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MOC
2002
73views more  MOC 2002»
13 years 11 months ago
A stochastic particle numerical method for 3D Boltzmann equations without cutoff
Using the main ideas of Tanaka, the measure-solution {Pt}t of a 3-dimensional spatially homogeneous Boltzmann equation of Maxwellian molecules without cutoff is related to a Poisso...
Nicolas Fournier, Sylvie Méléard
MOC
2002
97views more  MOC 2002»
13 years 11 months ago
Fifteen consecutive integers with exactly four prime factors
Abstract. We describe a successful search for a sequence of fifteen consecutive integers, each the product of exactly four prime factors. Fifteen is best possible.
Tony Forbes
MOC
2002
107views more  MOC 2002»
13 years 11 months ago
Combined Hermite spectral-finite difference method for the Fokker-Planck equation
The convergence of a class of combined spectral-finite difference methods using Hermite basis, applied to the Fokker-Planck equation, is studied. It is shown that the Hermite based...
Johnson C. M. Fok, Benyu Guo, Tao Tang
MOC
2002
136views more  MOC 2002»
13 years 11 months ago
Automatic reduction of elliptic integrals using Carlson's relations
In a series of papers, B. C. Carlson produced tables of elliptic integrals, evaluating them in terms of easily computed symmetrical functions, using a group of multivariate recurre...
Norman Gray
MOC
2002
64views more  MOC 2002»
13 years 11 months ago
Two contradictory conjectures concerning Carmichael numbers
Erdos conjectured that there are x1-o(1) Carmichael numbers up to x, whereas Shanks was skeptical as to whether one might even find an x up to which there are more than x Carmicha...
Andrew Granville, Carl Pomerance
MOC
2002
76views more  MOC 2002»
13 years 11 months ago
Localization effects and measure source terms in numerical schemes for balance laws
Abstract. This paper investigates the behavior of numerical schemes for nonlinear conservation laws with source terms. We concentrate on two significant examples: relaxation approx...
Laurent Gosse
MOC
2002
70views more  MOC 2002»
13 years 11 months ago
Arithmetic on superelliptic curves
Steven D. Galbraith, S. M. Paulus, Nigel P. Smart
MOC
2002
60views more  MOC 2002»
13 years 11 months ago
Backward Euler discretization of fully nonlinear parabolic problems
C. González, Alexander Ostermann, Cesar Pal...
MOC
2002
87views more  MOC 2002»
13 years 11 months ago
Finite SAGBI bases for polynomial invariants of conjugates of alternating groups
It is well-known, that the ring C[X1, . . . , Xn]An of polynomial invariants of the alternating group An has no finite SAGBI basis with respect to the lexicographical order for any...
Manfred Göbel
MOC
2002
99views more  MOC 2002»
13 years 11 months ago
The irreducibility of some level 1 Hecke polynomials
Let Tp,k(x) be the characteristic polynomial of the Hecke operator Tp acting on the space of level 1 cusp forms Sk(1). We show that Tp,k(x) is irreducible and has full Galois group...
D. W. Farmer, K. James