15 citations · 40 across the 5 of their papers we have counts for
6 papers · 1 filter
Applying recursive numerical integration techniques for solving high dimensional integrals
Andreas Ammon, Alan Genz, Tobias Hartung +3
The error scaling for Markov-Chain Monte Carlo techniques (MCMC) with samples behaves like . This scaling makes it often very time intensive to reduce the error of…
New polynomially exact integration rules on U(N) and SU(N)
Andreas Ammon, Tobias Hartung, Karl Jansen +2
In lattice Quantum Field Theory, we are often presented with integrals over polynomials of coefficients of matrices in U(N) or SU(N) with respect to the Haar measure. In some physi…
Overcoming the sign problem in 1-dimensional QCD by new integration rules with polynomial exactness
A. Ammon, T. Hartung, K. Jansen +2
In this paper we describe a new integration method for the groups and , for which we verified numerically that it is polynomially exact for . The method is ap…
On the efficient numerical solution of lattice systems with low-order couplings
A. Ammon, A. Genz, T. Hartung +3
We apply the Quasi Monte Carlo (QMC) and recursive numerical integration methods to evaluate the Euclidean, discretized time path-integral for the quantum mechanical anharmonic osc…
Applicability of Quasi-Monte Carlo for lattice systems
Andreas Ammon, Tobias Hartung, Karl Jansen +3
This project investigates the applicability of quasi-Monte Carlo methods to Euclidean lattice systems in order to improve the asymptotic error scaling of observables for such theor…
Quasi-Monte Carlo methods for lattice systems: a first look
K. Jansen, H. Leovey, A. Ammon +2
We investigate the applicability of Quasi-Monte Carlo methods to Euclidean lattice systems for quantum mechanics in order to improve the asymptotic error behavior of observables fo…