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We present the numerical relativity module within AthenaK, an open source performance-portable astrophysics code designed for exascale computing applications. This module employs the Z4c formulation to solve the Einstein equations. We…

General Relativity and Quantum Cosmology · Physics 2024-09-17 Hengrui Zhu , Jacob Fields , Francesco Zappa , David Radice , James Stone , Alireza Rashti , William Cook , Sebastiano Bernuzzi , Boris Daszuta

Discontinuous Galerkin (DG) methods for solving elliptic equations are gaining popularity in the computational physics community for their high-order spectral convergence and their potential for parallelization on computing clusters.…

General Relativity and Quantum Cosmology · Physics 2024-10-25 Nils L. Vu

Numerical relativity is central to the investigation of astrophysical sources in the dynamical and strong-field gravity regime, such as binary black hole and neutron star coalescences. Current challenges set by gravitational-wave and…

General Relativity and Quantum Cosmology · Physics 2022-11-04 Boris Daszuta , Francesco Zappa , William Cook , David Radice , Sebastiano Bernuzzi , Viktoriya Morozova

We present a new N-body and gas dynamics code, called Nyx, for large-scale cosmological simulations. Nyx follows the temporal evolution of a system of discrete dark matter particles gravitationally coupled to an inviscid ideal fluid in an…

Instrumentation and Methods for Astrophysics · Physics 2015-06-12 Ann Almgren , John Bell , Mike Lijewski , Zarija Lukić , Ethan Van Andel

Elliptic equations play a crucial role in turbulence models for magnetic confinement fusion. Regardless of the chosen modeling approach - whether gyrokinetic, gyrofluid, or drift-fluid - the Poisson equation and Amp\`{e}re's law lead to…

Given the compact binary evolution problem of numerical relativity, in the finite-difference, block-based, adaptive mesh refinement context, choices must be made on how evolved fields are to be discretized. In GR-Athena++, the space-time…

General Relativity and Quantum Cosmology · Physics 2024-06-14 Boris Daszuta , William Cook , Peter Hammond , Jacob Fields , Eduardo M. Gutiérrez , Sebastiano Bernuzzi , David Radice

The paper presents a priori error analysis of the shallow neural network approximation to the solution to the indefinite elliptic equation and and cutting-edge implementation of the Orthogonal Greedy Algorithm (OGA) tailored to overcome the…

Numerical Analysis · Mathematics 2024-10-28 Qingguo Hong , Jiwei Jia , Young Ju Lee , Ziqian Li

In this work we present the porting to Graphics Processing Units (GPUs, using OpenMP target directives) and optimization of a key module within the cosmological {\pinocchio} code, a Lagrangian Perturbation Theory (LPT)-based framework…

Instrumentation and Methods for Astrophysics · Physics 2025-10-06 M. D. Lepinzan , G. Lacopo , D. Goz , G. Taffoni , P. Monaco , P. J. Elahi , U. Varetto , M. Cytowski

Effective Hamiltonian calculations for large quantum systems can be both analytically intractable and numerically expensive using standard techniques. In this manuscript, we present numerical techniques inspired by Nonperturbative…

We compare the performance of two very different parallel gravitational $N$-body codes for astrophysical simulations on large GPU clusters, both pioneer in their own fields as well as in certain mutual scales - NBODY6++ and Bonsai. We carry…

Instrumentation and Methods for Astrophysics · Physics 2016-01-20 Siyi Huang , Rainer Spurzem , Peter Berczik

With the rapidly increasing rate of microlensing planet detections, microlensing modeling software faces significant challenges in computation efficiency. Here, we develop the Twinkle code, an efficient and robust binary-lens modeling…

Instrumentation and Methods for Astrophysics · Physics 2025-03-18 Suwei Wang , Lile Wang , Subo Dong

In this work, we have explored the advantages and drawbacks of using GPUs instead of CPUs in the calculation of a standard 2-point correlation function algorithm, which is useful for the analysis of Large Scale Structure of galaxies. Taking…

Instrumentation and Methods for Astrophysics · Physics 2012-05-01 Rafael Ponce , Miguel Cardenas-Montes , Juan Jose Rodriguez-Vazquez , Eusebio Sanchez , Ignacio Sevilla

We present a new implementation of the numerical integration of the classical, gravitational, N-body problem based on a high order Hermite's integration scheme with block time steps, with a direct evaluation of the particle-particle forces.…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 R. Capuzzo-Dolcetta , M. Spera , D. Punzo

Recent developments in compact object astrophysics, especially the discovery of merging neutron stars by LIGO, the imaging of the black hole in M87 by the Event Horizon Telescope (EHT) and high precision astrometry of the Galactic Center at…

We present a new two-dimensional numerical code called Nada designed to solve the full Einstein equations coupled to the general relativistic hydrodynamics equations. The code is mainly intended for studies of self-gravitating accretion…

General Relativity and Quantum Cosmology · Physics 2009-02-23 Pedro J. Montero , Jose A. Font , Masaru Shibata

Robust trajectory optimization enables autonomous systems to operate safely under uncertainty by computing control policies that satisfy the constraints for all bounded disturbances. However, these problems often lead to large Second Order…

Robotics · Computer Science 2026-05-19 Jiawei Wang , Arshiya Taj Abdul , Evangelos A. Theodorou

This paper presents novel reconfigurable architectures for reducing the latency of recurrent neural networks (RNNs) that are used for detecting gravitational waves. Gravitational interferometers such as the LIGO detectors capture cosmic…

The Lagrangian Particles (LP) module of the PLUTO code offers a powerful simulation tool to predict the non-thermal emission produced by shock accelerated particles in large-scale relativistic magnetized astrophysics flows. The LPs…

High Energy Astrophysical Phenomena · Physics 2026-03-02 Alessio Suriano , Stefano Truzzi , Agnese Costa , Marco Rossazza , Nitin Shukla , Andrea Mignone , Vittoria Berta , Claudio Zanni

This paper presents, to the author's knowledge, the first graphics processing unit (GPU) accelerated program that solves the evolution of interacting scalar fields in an expanding universe. We present the implementation in NVIDIA's Compute…

Instrumentation and Methods for Astrophysics · Physics 2014-11-20 Jani Sainio

Gridding operation, which is to map non-uniform data samples onto a uniformly distributedgrid, is one of the key steps in radio astronomical data reduction process. One of the mainbottlenecks of gridding is the poor computing performance,…

Instrumentation and Methods for Astrophysics · Physics 2021-01-14 Hao Wang , Ce Yu , Bo Zhang , Jian Xiao , Qi Luo
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