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MOC
2011
12 years 7 months ago
Improvements to Turing's method
Abstract. This article improves the estimate of the size of the definite integral of S(t), the argument of the Riemann zeta-function. The primary application of this improvement i...
Timothy Trudgian
MOC
2011
12 years 11 months ago
Torsion units in integral group rings of Janko simple groups
Abstract. Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of integral group rings of Janko simple groups. As a conse...
V. A. Bovdi, Eric Jespers, Alexander Konovalov
MOC
2011
12 years 11 months ago
Regeneration homotopies for solving systems of polynomials
We present a new technique, based on polynomial continuation, for solving systems of n polynomials in N complex variables. The method allows equations to be introduced one-by-one o...
Jonathan D. Hauenstein, Andrew J. Sommese, Charles...
MOC
2011
12 years 11 months ago
Operator splitting for the KdV equation
We provide a new analytical approach to operator splitting for equations of the type ut = Au + B(u) where A is a linear operator and B is quadratic. A particular example is the Kor...
Helge Holden, Kenneth H. Karlsen, Nils Henrik Rise...
MOC
2011
12 years 11 months ago
Geometric weakly admissible meshes, discrete least squares approximations and approximate Fekete points
Using the concept of Geometric Weakly Admissible Meshes (see §2 below) together with an algorithm based on the classical QR factorization of matrices, we compute efficient points...
Len Bos, Jean-Paul Calvi, Norman Levenberg, Alvise...