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A novel and scalable geometric multi-level algorithm is presented for the numerical solution of elliptic partial differential equations, specially designed to run with high occupancy of streaming processors inside Graphics Processing…

Mathematical Software · Computer Science 2017-03-22 J. T. Becerra-Sagredo , F. Mandujano , C. Malaga

General-relativistic radiative transfer (GRRT) calculations coupled with the calculation of geodesics in the Kerr spacetime are an essential tool for determining the images, spectra and light curves from matter in the vicinity of black…

High Energy Astrophysical Phenomena · Physics 2016-04-13 Hung-Yi Pu , Kiyun Yun , Ziri Younsi , Suk-Jin Yoon

Formal verification of neural networks (NNs) is a challenging and important problem. Existing efficient complete solvers typically require the branch-and-bound (BaB) process, which splits the problem domain into sub-domains and solves each…

Artificial Intelligence · Computer Science 2021-03-17 Kaidi Xu , Huan Zhang , Shiqi Wang , Yihan Wang , Suman Jana , Xue Lin , Cho-Jui Hsieh

Neural Radiance Fields (NeRF) achieve photorealistic novel view synthesis but become costly when high-resolution (HR) rendering is required, as HR outputs demand dense sampling and higher-capacity models. Moreover, naively super-resolving…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Wanqi Yuan , Omkar Sharad Mayekar , Connor Pennington , Nianyi Li

High-resolution tri-axial simulations are indispensable for realistically co-modeling the dynamical signatures and the radiative fingerprints of astrophysical jets, which are becoming increasingly important in modern computational studies…

Astrophysics of Galaxies · Physics 2026-02-26 Gourab Giri , Andrea Mignone , Alessio Suriano , Marco Rossazza , Stefano Truzzi

We ported to the GPU with CUDA the Astrometric Verification Unit-Global Sphere Reconstruction (AVU-GSR) Parallel Solver developed for the ESA Gaia mission, by optimizing a previous OpenACC porting of this application. The code aims to find,…

Instrumentation and Methods for Astrophysics · Physics 2023-08-03 Valentina Cesare , Ugo Becciani , Alberto Vecchiato , Mario Gilberto Lattanzi , Fabio Pitari , Marco Aldinucci , Beatrice Bucciarelli

We present our latest advancements of machine-learned potentials (MLPs) based on the neuroevolution potential (NEP) framework introduced in [Fan et al., Phys. Rev. B 104, 104309 (2021)] and their implementation in the open-source package…

Rendering and inverse-rendering algorithms that drive conventional computer graphics have recently been superseded by neural representations (NR). NRs have recently been used to learn the geometric and the material properties of the scenes…

Hardware Architecture · Computer Science 2023-04-14 Muhammad Husnain Mubarik , Ramakrishna Kanungo , Tobias Zirr , Rakesh Kumar

To fully unlock the scientific potential of upcoming gravitational wave (GW) interferometers, numerical relativity (NR) simulation accuracy will need to be greatly enhanced. We present three infrastructure-agnostic improvements to the…

General Relativity and Quantum Cosmology · Physics 2024-09-19 Zachariah B. Etienne

Reproducibility of results is a cornerstone of the scientific method. Scientific computing encounters two challenges when aiming for this goal. Firstly, reproducibility should not depend on details of the runtime environment, such as the…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Yufeng Luo , Qian Zhang , Roland Haas , Zachariah B. Etienne , Gabrielle Allen

GRTresna is a multigrid solver designed to solve the constraint equations for the initial data required in numerical relativity simulations. In particular, it is focussed on scenarios with fundamental fields around black holes and…

Over the past decade there has been a growing interest in the development of parallel hardware systems for simulating large-scale networks of spiking neurons. Compared to other highly-parallel systems, GPU-accelerated solutions have the…

Neurons and Cognition · Quantitative Biology 2021-02-22 Bruno Golosio , Gianmarco Tiddia , Chiara De Luca , Elena Pastorelli , Francesco Simula , Pier Stanislao Paolucci

This paper presents the implementation of a HLLC finite volume solver using GPU technology for the solution of shallow water problems in two dimensions. It compares both CPU and GPU approaches for implementing all the solver's steps. The…

Computational Engineering, Finance, and Science · Computer Science 2018-07-03 Fabrice Zaoui

In this paper, we introduce a quasi-Newton method optimized for efficiently solving quasi-linear elliptic equations and systems, with a specific focus on GPU-based computation. By approximating the Jacobian matrix with a combination of…

Numerical Analysis · Mathematics 2025-03-25 Wenrui Hao , Sun Lee , Xiangxiong Zhang

To overcome these obstacles and improve computational accuracy and efficiency, this paper presents the Randomized Radial Basis Function Neural Network (RRNN), an innovative approach explicitly crafted for solving multiscale elliptic…

Numerical Analysis · Mathematics 2024-07-23 Yuhang Wu , Ziyuan Liu , Wenjun Sun , Xu Qian

We show that numerical computations based on tensor renormalization group (TRG) methods can be significantly accelerated with PyTorch on graphics processing units (GPUs) by leveraging NVIDIA's Compute Unified Device Architecture (CUDA). We…

High Energy Physics - Lattice · Physics 2023-09-26 Raghav G. Jha , Abhishek Samlodia

Numerical relativity is the most promising tool for theoretically modeling the inspiral and coalescence of neutron star and black hole binaries, which, in turn, are among the most promising sources of gravitational radiation for future…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Thomas W. Baumgarte , Stuart L. Shapiro

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

Rotation measure (RM) synthesis is a widely used polarization processing algorithm for reconstructing polarized structures along the line of sight. Performing RM synthesis on large datasets produced by telescopes like LOFAR can be…

Instrumentation and Methods for Astrophysics · Physics 2018-10-16 S. S. Sridhar , G. Heald , J. M. van der Hulst

We introduce a fusion of GPU accelerated primal heuristics for Mixed Integer Programming. Leveraging GPU acceleration enables exploration of larger search regions and faster iterations. A GPU-accelerated PDLP serves as an approximate LP…

Optimization and Control · Mathematics 2025-10-31 Akif Çördük , Piotr Sielski , Alice Boucher , Kumar Aatish