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We present msmJAX, a Python package implementing the multilevel summation method with B-spline interpolation, a linear-scaling algorithm for efficiently evaluating electrostatic and other long-range interactions in particle-based…

Computational Physics · Physics 2025-10-08 Florian Buchner , Johannes Schörghuber , Nico Unglert , Jesús Carrete , Georg K. H. Madsen

We describe a computational framework for simulating suspensions of rigid particles in Newtonian Stokes flow. One central building block is a collision-resolution algorithm that overcomes the numerical constraints arising from particle…

Computational Engineering, Finance, and Science · Computer Science 2020-06-24 Wen Yan , Eduardo Corona , Dhairya Malhotra , Shravan Veerapaneni , Michael Shelley

The field of astrophysics has long sought computational tools capable of harnessing the power of modern GPUs to simulate the complex dynamics of astrophysical phenomena. The Kratos Framework, a novel GPU-based simulation system designed to…

Instrumentation and Methods for Astrophysics · Physics 2025-03-04 Lile Wang

Fusion simulations have traditionally required the use of leadership scale High Performance Computing (HPC) resources in order to produce advances in physics. The impressive improvements in compute and memory capacity of many-GPU compute…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-12 Emily A. Belli , Jeff Candy , Igor Sfiligoi , Frank Würthwein

We scrutinize how to accelerate the bottleneck operations of Pythonic coupled cluster implementations performed on a \texttt{NVIDIA} Tesla V100S PCIe 32GB (rev 1a) Graphics Processing Unit (GPU). The \texttt{NVIDIA} Compute Unified Device…

Simulations based on particle methods, such as Smoothed Particle Hydrodynamics (SPH), are known to be computationally demanding. While such methods have for long been executed in parallel on multi-core CPUs, in recent years the increasing…

Computational Engineering, Finance, and Science · Computer Science 2026-03-18 Xiangyu Hu , Alberto Guarnieri

Although deep models have been widely explored in solving partial differential equations (PDEs), previous works are primarily limited to data only with up to tens of thousands of mesh points, far from the million-point scale required by…

Machine Learning · Computer Science 2025-02-10 Huakun Luo , Haixu Wu , Hang Zhou , Lanxiang Xing , Yichen Di , Jianmin Wang , Mingsheng Long

Recent accessibility of affordable sensing technologies, microcontrollers, and wireless communication technology has made it possible for stormwater systems to be retrofitted with an assortment of sensors and actuators. These smart…

Python is the de-facto language for software development in artificial intelligence (AI). Commonly used libraries, such as PyTorch and TensorFlow, rely on parallelization built into their BLAS backends to achieve speedup on CPUs. However,…

Machine Learning · Computer Science 2025-05-02 Maksim Helmann , Alexander Strack , Dirk Pflüger

Machine learning methods have been successful in many areas, like image classification and natural language processing. However, it still needs to be determined how to apply ML to areas with mathematical constraints, like solving PDEs.…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Yang Bai

PyLlama is a handy Python toolkit to compute the electromagnetic reflection and transmission properties of arbitrary multilayered linear media, including the case of anisotropy. Relying on a $4 \times 4$-matrix formalism, PyLlama implements…

Optics · Physics 2021-12-24 Mélanie M. Bay , Silvia Vignolini , Kevin Vynck

This paper describes open-source scientific contributions in python surrounding the numerical solutions to hyperbolic Hamilton-Jacobi (HJ) partial differential equations viz., their implicit representation on co-dimension one surfaces;…

Mathematical Software · Computer Science 2024-11-07 Lekan Molu

This work introduces FlashGS, an open-source CUDA Python library, designed to facilitate the efficient differentiable rasterization of 3D Gaussian Splatting through algorithmic and kernel-level optimizations. FlashGS is developed based on…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Guofeng Feng , Siyan Chen , Rong Fu , Zimu Liao , Yi Wang , Tao Liu , Zhilin Pei , Hengjie Li , Xingcheng Zhang , Bo Dai

Large-scale hydrodynamic models generally rely on fixed-resolution spatial grids and model parameters as well as incurring a high computational cost. This limits their ability to accurately forecast flood crests and issue time-critical…

Machine Learning · Computer Science 2024-03-20 Qingsong Xu , Yilei Shi , Jonathan Bamber , Chaojun Ouyang , Xiao Xiang Zhu

We present cudaclaw, a CUDA-based high performance data-parallel framework for the solution of multidimensional hyperbolic partial differential equation (PDE) systems, equations describing wave motion. cudaclaw allows computational…

Mathematical Software · Computer Science 2018-05-24 H. Gorune Ohannessian , George Turkiyyah , Aron Ahmadia , David Ketcheson

pyGDM is a python toolkit for electro-dynamical simulations of individual nano-structures, based on the Green Dyadic Method (GDM). pyGDM uses the concept of a generalized propagator, which allows to solve cost-efficiently monochromatic…

We present an efficient open-source implementation of the multiparticle collision dynamics (MPCD) algorithm that scales to run on hundreds of graphics processing units (GPUs). We especially focus on optimizations for modern GPU…

Soft Condensed Matter · Physics 2018-08-01 Michael P. Howard , Athanassios Z. Panagiotopoulos , Arash Nikoubashman

We present PyRigi, a novel Python package designed to study the rigidity properties of graphs and frameworks. Among many other capabilities, PyRigi can determine whether a graph admits only finitely many ways, up to isometries, of being…

Metric Geometry · Mathematics 2025-06-06 Matteo Gallet , Georg Grasegger , Matthias Himmelmann , Jan Legerský

The escalating computational demands and energy footprint of GPU-accelerated computing systems complicate informed design and operational decisions. We present the first release of Wattlytics (https://wattlytics.netlify.app), an…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-10 Ayesha Afzal , Georg Hager , Gerhard Wellein

A hierarchical solver is proposed for solving sparse ill-conditioned linear systems in parallel. The solver is based on a modification of the LoRaSp method, but employs a deferred-compression technique, which provably reduces the…

Numerical Analysis · Mathematics 2019-09-04 Chao Chen , Leopold Cambier , Erik G. Boman , Sivasankaran Rajamanickam , Raymond S. Tuminaro , Eric Darve