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MOC
1998
98views more  MOC 1998»
13 years 11 months ago
Distribution of irreducible polynomials of small degrees over finite fields
D. Wan very recently proved an asymptotic version of a conjecture of Hansen and Mullen concerning the distribution of irreducible polynomials over finite fields. In this note we ...
Kie H. Ham, Gary L. Mullen
MOC
1998
115views more  MOC 1998»
13 years 11 months ago
Analysis and modificaton of Newton's method for algebraic Riccati equations
When Newton’s method is applied to find the maximal symmetric solution of an algebraic Riccati equation, convergence can be guaranteed under moderate conditions. In particular, ...
Chun-Hua Guo, Peter Lancaster
MOC
1998
104views more  MOC 1998»
13 years 11 months ago
Approximation properties of multivariate wavelets
Abstract. Wavelets are generated from refinable functions by using multiresolution analysis. In this paper we investigate the approximation properties of multivariate refinable f...
Rong-Qing Jia
MOC
1998
72views more  MOC 1998»
13 years 11 months ago
Interpolation correction for collocation solutions of Fredholm integro-differential equations
In this paper we discuss the collocation method for a large class of Fredholm linear integro-differential equations. It will be shown that, when a certain higher order interpolati...
Qiya Hu
MOC
1998
66views more  MOC 1998»
13 years 11 months ago
The d2-transformation for infinite double series and the D2-transformation for infinite double integrals
New transformations for accelerating the convergence of infinite double series and infinite double integrals are presented. These transformations are generalizations of the univa...
Chen Greif, David Levin
MOC
1998
75views more  MOC 1998»
13 years 11 months ago
Steiner systems S(5, 6, v) with v = 72 and 84
It is proved that there are precisely 4204 pairwise non-isomorphic Steiner systems S(5, 6, 72) invariant under the group PSL2(71) and which can be constructed using only short orbi...
Mike J. Grannell, Terry S. Griggs, Rudolf Mathon
MOC
1998
74views more  MOC 1998»
13 years 11 months ago
Diameters of complete sets of conjugate algebraic integers of small degree
We give bounds for the coefficients of a polynomial as functions of the diameter of its roots, hence we obtain polynomials with minimal diameters and small degree
Michel Grandcolas
MOC
1998
136views more  MOC 1998»
13 years 11 months ago
Total variation diminishing Runge-Kutta schemes
In this paper we further explore a class of high order TVD (total variation diminishing) Runge-Kutta time discretization initialized in a paper by Shu and Osher, suitable for solvi...
Sigal Gottlieb, Chi-Wang Shu
MOC
1998
76views more  MOC 1998»
13 years 11 months ago
Quadrature formulae using zeros of Bessel functions as nodes
A gaussian type quadrature formula, where the nodes are the zeros of Bessel functions of the first kind of order α ( (α) > −1), was recently proved for entire functions of ...
Riadh Ben Ghanem