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Computer simulations allow us to explore non-perturbative phenomena in physics. This has the potential to help us understand quantum gravity. Finding a theory of quantum gravity is a hard problem, but in the last decades many promising and…

General Relativity and Quantum Cosmology · Physics 2019-01-21 Lisa Glaser , Sebastian Steinhaus

Black holes represent extreme conditions of physical laws. Being predicted about a century ago, they are now accepted as astrophysical reality by most of the scientific community. Only recently more direct evidence of their existence has…

High Energy Astrophysical Phenomena · Physics 2019-07-31 Christian Fendt

In recent years we've seen the birth of a new field known as hamiltonian complexity lying at the crossroads between computer science and theoretical physics. Hamiltonian complexity is directly concerned with the question: how hard is it to…

Quantum Physics · Physics 2015-05-28 Tobias J. Osborne

Understanding the predictions of general relativity for the dynamical interactions of two black holes has been a long-standing unsolved problem in theoretical physics. Black-hole mergers are monumental astrophysical events, releasing…

General Relativity and Quantum Cosmology · Physics 2011-09-29 Joan M. Centrella , John G. Baker , Bernard J. Kelly , James R. van Meter

Monte Carlo simulations are an important tool in statistical physics, complex systems science, and many other fields. An increasing number of these simulations is run on parallel systems ranging from multicore desktop computers to…

Statistical Mechanics · Physics 2009-06-10 Stephan Mertens

We discuss some aspects of recent research as well as more general issues about motivation, useful methods and open problems in the field of cosmological singularities. In particular, we review some of the approaches to the general area and…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Spiros Cotsakis

Review paper on computer simulations of the structure of amorphous silica.

Statistical Mechanics · Physics 2007-05-23 Kurt Binder , Walter Kob

Activities in data analysis and numerical simulation of gravitational waves have to date largely proceeded independently. In this work we study how waveforms obtained from numerical simulations could be effectively used within the data…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas Baumgarte , Patrick Brady , Jolien D E Creighton , Luis Lehner , Frans Pretorius , Ricky DeVoe

Results of direct numerical simulation of isotropic turbulence of surface gravity waves in the framework of Hamiltonian equations are presented. For the first time simultaneous formation of both direct and inverse cascades was observed in…

Fluid Dynamics · Physics 2011-01-04 Alexander O. Korotkevich

Recent advances in quantum technologies have enabled quantum simulation of gauge theories -- some of the most fundamental frameworks of nature -- in regimes far from equilibrium, where classical computation is severely limited. These…

Quantum Physics · Physics 2025-09-05 Jad C. Halimeh , Niklas Mueller , Johannes Knolle , Zlatko Papić , Zohreh Davoudi

We present numerical techniques based on generalized functions adapted to nonlinear calculations. They concern main numerical engineering problems ruled by-or issued from-nonlinear equations of continuum mechanics. The aim of this text is…

Mathematical Physics · Physics 2007-05-23 J. F. Colombeau

The analysis of certain singularities in scalar-tensor gravity contained in a recent paper is completed, and situations are pointed out in which these singularities cannot occur.

General Relativity and Quantum Cosmology · Physics 2009-11-10 Valerio Faraoni

Numerical relativity is an essential tool for solving Einstein's equations of general relativity for dynamical systems characterized by high velocities and strong gravitational fields. The implementation of new algorithms that can solve…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Stuart L. Shapiro

In this talk we discuss some of the main theoretical problems in the understanding of the statistical properties of gravity. By means of N-body simulations we approach the problem of understanding the r\^ole of gravity in the clustering of…

Statistical Mechanics · Physics 2009-11-07 M. Bottaccio , R. Capuzzo Dolcetta , P. Miocchi , A. Amici , M. Montuori , L. Pietronero

Monte Carlo simulations are one of the major tools in statistical physics, complex system science, and other fields, and an increasing number of these simulations is run on distributed systems like clusters or grids. This raises the issue…

Other Condensed Matter · Physics 2007-07-03 Heiko Bauke , Stephan Mertens

I review recent progress in numerically simulating the formation and evolution of galaxies in hierarchically clustering universes. Special emphasis is given to results based on high-resolution gas dynamical simulations using the N-body…

Astrophysics · Physics 2007-05-23 Matthias Steinmetz

We review numerical simulations of MHD turbulence. The last decade has witnessed fundamental advances both in the technical capabilities of direct numerical simulation, and in our understanding of key physical processes. Magnetic fields tap…

Astrophysics · Physics 2007-05-23 Steven A. Balbus , John F. Hawley

We review recent progress in the description of the formation and evolution of galaxy clusters in a cosmological context by using numerical simulations. We focus our presentation on the comparison between simulated and observed X-ray…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-05 Stefano Borgani , Andrey Kravtsov

Although there is general agreement that a removal of classical gravitational singularities is not only a crucial conceptual test of any approach to quantum gravity but also a prerequisite for any fundamental theory, the precise criteria…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Martin Bojowald

We present a detailed description of the generalized geometric cluster algorithm for the efficient simulation of continuum fluids. The connection with well-known cluster algorithms for lattice spin models is discussed, and an explicit full…

Statistical Mechanics · Physics 2009-11-11 Jiwen Liu , Erik Luijten
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