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Related papers: JAX, M.D.: A Framework for Differentiable Physics

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The rapid rise of scientific machine learning (SciML) has expanded the role of differentiable modeling, surrogate modeling, and data-driven constitutive laws in large-scale simulation. The JAX framework provides an attractive environment…

Mathematical Software · Computer Science 2026-04-27 Alberto Cattaneo , M Keith Ballard , Robert M. Kirby , Varun Shankar

Differentiable programming has emerged as a powerful paradigm in scientific computing, enabling automatic differentiation through simulation pipelines and naturally supporting both forward and inverse modeling. We present JAX-MPM, a…

Machine Learning · Computer Science 2025-09-30 Honghui Du , QiZhi He

Modal methods for simulating vibrations of strings, membranes, and plates are widely used in acoustics and physically informed audio synthesis. However, traditional implementations, particularly for non-linear models like the von K\'arm\'an…

Sound · Computer Science 2025-05-27 Rodrigo Diaz , Mark Sandler

The formation of the large-scale structure, the evolution and distribution of galaxies, quasars, and dark matter on cosmological scales, requires numerical simulations. Differentiable simulations provide gradients of the cosmological…

Instrumentation and Methods for Astrophysics · Physics 2022-11-21 Yin Li , Libin Lu , Chirag Modi , Drew Jamieson , Yucheng Zhang , Yu Feng , Wenda Zhou , Ngai Pok Kwan , François Lanusse , Leslie Greengard

Differentiable simulators are an emerging concept with applications in several fields, from reinforcement learning to optimal control. Their distinguishing feature is the ability to calculate analytic gradients with respect to the input…

Machine Learning · Computer Science 2021-11-10 Antonio Stanziola , Simon R. Arridge , Ben T. Cox , Bradley E. Treeby

Rapid advances in deep learning have brought not only myriad powerful neural networks, but also breakthroughs that benefit established scientific research. In particular, automatic differentiation (AD) tools and computational accelerators…

Instrumentation and Methods for Astrophysics · Physics 2024-02-13 Yin Li , Chirag Modi , Drew Jamieson , Yucheng Zhang , Libin Lu , Yu Feng , François Lanusse , Leslie Greengard

MadJax is a tool for generating and evaluating differentiable matrix elements of high energy scattering processes. As such, it is a step towards a differentiable programming paradigm in high energy physics that facilitates the incorporation…

High Energy Physics - Phenomenology · Physics 2023-03-01 Lukas Heinrich , Michael Kagan

We present JAX-PF, an open-source, GPU-accelerated, and differentiable Phase Field (PF) software package, supporting both explicit and implicit time stepping schemes. Leveraging the modern computing architecture JAX, JAX-PF achieves high…

Computational Physics · Physics 2026-01-13 Fanglei Hu , Jiachen Guo , Stephen Niezgoda , Wing Kam Liu , Jian Cao

Simulation of non-adiabatic dynamics of a quantum system coupled to dissipative environments poses significant challenges. New sophisticated methods are regularly being developed with an eye towards moving to larger systems and more…

Quantum Physics · Physics 2023-06-07 Amartya Bose

JAX-in-Cell is a fully electromagnetic, multispecies, and relativistic 1D3V Particle-in-Cell (PIC) framework implemented entirely in JAX. It provides a modern, Python-based alternative to traditional PIC frameworks. It leverages…

Plasma Physics · Physics 2025-12-16 Longyu Ma , Rogerio Jorge , Hongke Lu , Aaron Tran , Christopher Woolford

In our effort to facilitate machine learning-assisted computational fluid dynamics (CFD), we introduce the second iteration of JAX-Fluids. JAX-Fluids is a Python-based fully-differentiable CFD solver designed for compressible single- and…

Fluid Dynamics · Physics 2024-02-09 Deniz A. Bezgin , Aaron B. Buhendwa , Nikolaus A. Adams

This project aims to advance differentiable fluid dynamics for hypersonic coupled flow over porous media, demonstrating the potential of automatic differentiation (AD)-based optimization for end-to-end solutions. Leveraging AD efficiently…

Fluid Dynamics · Physics 2024-07-01 Wenkang Wang , Xuanwei Zhang , Deniz Bezgin , Aaron Buhendwa , Xu Chu , Bernhard Weigand

Differentiable numerical simulations of physical systems have gained rising attention in the past few years with the development of automatic differentiation tools. This paper presents JAX-SSO, a differentiable finite element analysis…

Mathematical Software · Computer Science 2024-07-30 Gaoyuan Wu

We present Brax, an open source library for rigid body simulation with a focus on performance and parallelism on accelerators, written in JAX. We present results on a suite of tasks inspired by the existing reinforcement learning…

Robotics · Computer Science 2021-06-28 C. Daniel Freeman , Erik Frey , Anton Raichuk , Sertan Girgin , Igor Mordatch , Olivier Bachem

Stokesian Dynamics (SD) is a powerful computational framework for simulating the motion of particles in a viscous Newtonian fluid under Stokes-flow conditions. Traditional SD implementations can be computationally expensive as they rely on…

Fluid Dynamics · Physics 2025-07-02 Kim William Torre , Raoul D. Schram , Joost de Graaf

In molecular dynamics (MD), systems are molecules made up of atoms, and the aim is to determine their evolution over time. MD is based on a numerical resolution algorithm, whose role is to apply the forces generated by the various…

Statistical Mechanics · Physics 2024-10-16 Frédéric Boussinot

Combustion kinetic modeling is an integral part of combustion simulation, and extensive studies have been devoted to developing both high fidelity and computationally affordable models. Despite these efforts, modeling combustion kinetics is…

We introduce Atomistic learned potentials in JAX (apax), a flexible and efficient open source software package for training and inference of machine-learned interatomic potentials. Built on the JAX framework, apax supports GPU acceleration…

Chemical Physics · Physics 2025-11-19 Moritz René Schäfer , Nico Segreto , Fabian Zills , Christian Holm , Johannes Kästner

Molecular dynamics (MD) simulations are used in biochemistry, physics, and other fields to study the motions, thermodynamic properties, and the interactions between molecules. Computational limitations and the complexity of these problems,…

Numerical Analysis · Mathematics 2018-01-17 F. Grogan , M. Holst , L. Lindblom , R. Amaro

Physical systems are governed by partial differential equations (PDEs). The Navier-Stokes equations describe fluid flows and are representative of nonlinear physical systems with complex spatio-temporal interactions. Fluid flows are…

Fluid Dynamics · Physics 2022-10-05 Deniz A. Bezgin , Aaron B. Buhendwa , Nikolaus A. Adams
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