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In this work, we revisit the marking decisions made in the standard adaptive finite element method (AFEM). Experience shows that a na\"{i}ve marking policy leads to inefficient use of computational resources for adaptive mesh refinement…

Numerical Analysis · Mathematics 2023-12-27 Andrew Gillette , Brendan Keith , Socratis Petrides

Several theoretical waveform models have been developed over the years to capture the gravitational wave emission from the dynamical evolution of compact binary systems of neutron stars and black holes. As ground-based detectors improve…

General Relativity and Quantum Cosmology · Physics 2024-10-02 Lalit Pathak , Amit Reza , Anand S. Sengupta

Robust gauge conditions are critically important to the stability and accuracy of numerical relativity (NR) simulations involving compact objects. Most of the NR community use the highly robust---though decade-old---moving-puncture (MP)…

High Energy Astrophysical Phenomena · Physics 2014-10-07 Zachariah B. Etienne , John G. Baker , Vasileios Paschalidis , Bernard J. Kelly , Stuart L. Shapiro

We present a new pseudospectral code, bamps, for numerical relativity written with the evolution of collapsing gravitational waves in mind. We employ the first order generalized harmonic gauge formulation. The relevant theory is reviewed…

General Relativity and Quantum Cosmology · Physics 2016-03-23 David Hilditch , Andreas Weyhausen , Bernd Bruegmann

We present a new polynomial-free prolongation scheme for Adaptive Mesh Refinement (AMR) simulations of compressible and incompressible computational fluid dynamics. The new method is constructed using a multi-dimensional kernel-based…

Numerical Analysis · Mathematics 2022-10-12 Steven I. Reeves , Dongwook Lee , Adam Reyes , Carlo Graziani , Petros Tzeferacos

Inspired by the success of reinforcement learning (RL) in refining large language models (LLMs), we propose AR-GRPO, an approach to integrate online RL training into autoregressive (AR) image generation models. We adapt the Group Relative…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Shihao Yuan , Yahui Liu , Yang Yue , Jingyuan Zhang , Wangmeng Zuo , Qi Wang , Fuzheng Zhang , Guorui Zhou

Markov Chain Monte Carlo (MCMC) methods, such as the Metropolis-Hastings (MH) algorithm, are widely used for Bayesian inference. One of the most important issues for any MCMC method is the convergence of the Markov chain, which depends…

Computation · Statistics 2015-11-20 Luca Martino , Jesse Read , David Luengo

We address the feasibility of a GNSS-R code-altimetry space mission and more specifically a dominant term of its error budget: the reflected-signal range precision. This is the RMS error on the reflected-signal delay, as estimated by…

Atmospheric and Oceanic Physics · Physics 2007-05-23 O. Germain , G. Ruffini

High-resolution simulations often rely on the Adaptive Mesh Resolution (AMR) technique to optimize memory consumption versus attainable precision. While this technique allows for dramatic improvements in terms of computing performance, the…

Data Structures and Algorithms · Computer Science 2013-01-03 Marc Labadens , Daniel Pomarède , Damien Chapon , Romain Teyssier , Frédéric Bournaud , Florent Renaud , Nicolas Grandjouan

General-relativistic magnetohydrodynamic (GRMHD) simulations have revolutionized our understanding of black hole accretion. Here, we present a graphics processing unit (GPU) accelerated GRMHD code \hammer{} with multi-faceted optimizations…

High Energy Astrophysical Phenomena · Physics 2022-12-06 M. T. P. Liska , K. Chatterjee , D. Issa , D. Yoon , N. Kaaz , A. Tchekhovskoy , D. van Eijnatten , G. Musoke , C. Hesp , V. Rohoza , S. Markoff , A. Ingram , M. van der Klis

Alamo is a high-performance scientific code that uses block-structured adaptive mesh refinement to solve such problems as: the ignition and burn of solid rocket propellant, plasticity, damage and fracture in materials undergoing loading,…

Computational Physics · Physics 2025-12-03 Brandon Runnels , Vinamra Agrawal , Maycon Meier

Riroriro is a Python package to simulate the gravitational waveforms of binary mergers of black holes and/or neutron stars, and calculate several properties of these mergers and waveforms, specifically relating to their observability by…

General Relativity and Quantum Cosmology · Physics 2021-03-15 Wouter G. J. van Zeist , Héloïse F. Stevance , J. J. Eldridge

We present a general method to analyze reverberation mapping data that provides both estimates for the black hole mass and for the geometry and dynamics of the broad line region (BLR) in active galactic nuclei (AGN). Our method directly…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Anna Pancoast , Brendon J. Brewer , Tommaso Treu

Current matched-filter searches for gravitational waves from binary black-hole mergers compare the calibrated detector data to waveform templates that omit the higher-order mode content of the signals predicted by General Relativity.…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Koustav Chandra , Juan Calderón Bustillo , Archana Pai , Ian Harry

We produce the first astrophysically-relevant numerical binary black hole gravitational waveform in a higher-curvature theory of gravity beyond general relativity. We simulate a system with parameters consistent with GW150914, the first…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Maria Okounkova , Leo C. Stein , Jordan Moxon , Mark A. Scheel , Saul A. Teukolsky

Observation and characterisation of gravitational waves from binary black holes requires accurate knowledge of the expected waveforms. The late inspiral and merger phase of the waveform is obtained through direct numerical integration of…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Ian Hinder , Serguei Ossokine , Harald P. Pfeiffer , Alessandra Buonanno

This work presents a high-order finite-difference adaptive mesh refinement (AMR) framework for robust simulation of shock-turbulence interaction problems. A staggered-grid arrangement, in which solution points are stored at cell centers…

Computational Physics · Physics 2025-11-12 Yuqi Wang , Yadong Zeng , Ralf Deiterding , Jinhui Yang , Jianhan Liang

This paper presents novel refinement sensors for the application to adaptive mesh and algorithm refinement (AMAR) with kinetic models, such as discrete velocity and lattice Boltzmann methods. While refinement criteria for AMAR based on…

Fluid Dynamics · Physics 2026-03-17 R. M. Strässle , S. A. Hosseini , I. V. Karlin

Multi-resolution methods such as Adaptive Mesh Refinement (AMR) can enhance storage efficiency for HPC applications generating vast volumes of data. However, their applicability is limited and cannot be universally deployed across all…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-02 Daoce Wang , Pascal Grosset , Jesus Pulido , Tushar M. Athawale , Jiannan Tian , Kai Zhao , Zarija Lukić , Axel Huebl , Zhe Wang , James Ahrens , Dingwen Tao

Estimating the gradients for binary variables is a task that arises frequently in various domains, such as training discrete latent variable models. What has been commonly used is a REINFORCE based Monte Carlo estimation method that uses…

Machine Learning · Computer Science 2021-06-01 Alek Dimitriev , Mingyuan Zhou
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