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MOC
2011
13 years 4 months ago
Asymptotic expansion and quadrature of composite highly oscillatory integrals
We consider in this paper asymptotic and numerical aspects of highly oscillatory integrals of the form b a
Arieh Iserles, David Levin
MOC
2011
13 years 4 months ago
Exponential convergence and tractability of multivariate integration for Korobov spaces
In this paper we study multivariate integration for a weighted Korobov space for which the Fourier coefficients of the functions decay exponentially fast. This implies that the fu...
Josef Dick, Gerhard Larcher, Friedrich Pillichsham...
MOC
2011
13 years 4 months ago
Analysis of HDG methods for Stokes flow
Abstract. In this paper, we analyze a hybridizable discontinuous Galerkin method for numerically solving the Stokes equations. The method uses polynomials of degree k for all the c...
Bernardo Cockburn, Jayadeep Gopalakrishnan, Ngoc C...
MOC
2011
13 years 4 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
13 years 4 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...
MMS
2011
13 years 4 months ago
Dynamic behavior of balanced NV-trees
Abstract In recent years, some approximate highdimensional indexing techniques have shown promising results by trading off quality guarantees for improved query performance. While ...
Arnar Ólafsson, Björn Þór...
MMAS
2011
Springer
13 years 4 months ago
Scalable Bayesian Reduced-Order Models for Simulating High-Dimensional Multiscale Dynamical Systems
While existing mathematical descriptions can accurately account for phenomena at microscopic scales (e.g. molecular dynamics), these are often high-dimensional, stochastic and thei...
Phaedon-Stelios Koutsourelakis, Elias Bilionis