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This paper introduces JAX-FEM, an open-source differentiable finite element method (FEM) library. Constructed on top of Google JAX, a rising machine learning library focusing on high-performance numerical computing, JAX-FEM is implemented…

Mathematical Software · Computer Science 2023-06-28 Tianju Xue , Shuheng Liao , Zhengtao Gan , Chanwook Park , Xiaoyu Xie , Wing Kam Liu , Jian Cao

Understanding shock-solid interactions remains a central challenge in compressiblefluiddynamics. WepresentJAX-Shock: afully-differentiable,GPU-accelerated, high-order shock-capturing solver for efficient simulation of the compressible…

Fluid Dynamics · Physics 2026-01-09 Bo Zhang

We introduce JAX FDM, a differentiable solver to design mechanically efficient shapes for 3D structures conditioned on target architectural, fabrication and structural properties. Examples of such structures are domes, cable nets and…

Computational Engineering, Finance, and Science · Computer Science 2023-10-31 Rafael Pastrana , Deniz Oktay , Ryan P. Adams , Sigrid Adriaenssens

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

We introduce JAX MD, a software package for performing differentiable physics simulations with a focus on molecular dynamics. JAX MD includes a number of physics simulation environments, as well as interaction potentials and neural networks…

Computational Physics · Physics 2020-12-04 Samuel S. Schoenholz , Ekin D. Cubuk

Shock dynamics and nonlinear wave propagation are fundamental to computational fluid dynamics (CFD) and high-speed flow modeling. In this study, we developed explicit and implicit finite-difference solvers for the one-dimensional Burgers…

Engineering structures are increasingly designed using numerical optimisation. However, traditional optimisation methods can be challenging with multiple objectives and many parameters. In machine learning, stable training of artificial…

Computational Engineering, Finance, and Science · Computer Science 2026-04-24 James Hipperson , Jonathan Hargreaves , Trevor Cox

We present jax-cosmo, a library for automatically differentiable cosmological theory calculations. It uses the JAX library, which has created a new coding ecosystem, especially in probabilistic programming. As well as batch acceleration,…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-01 Jean-Eric Campagne , François Lanusse , Joe Zuntz , Alexandre Boucaud , Santiago Casas , Minas Karamanis , David Kirkby , Denise Lanzieri , Yin Li , Austin Peel

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

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

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

We propose the use of automatic differentiation through the programming framework jax for accelerating a variety of analysis tasks throughout gravitational wave (GW) science. Firstly, we demonstrate that complete waveforms which cover the…

Instrumentation and Methods for Astrophysics · Physics 2023-02-13 Thomas D. P. Edwards , Kaze W. K. Wong , Kelvin K. H. Lam , Adam Coogan , Daniel Foreman-Mackey , Maximiliano Isi , Aaron Zimmerman

Particle-based fluid simulations have emerged as a powerful tool for solving the Navier-Stokes equations, especially in cases that include intricate physics and free surfaces. The recent addition of machine learning methods to the toolbox…

Soft materials such as rubbers, hydrogels, and biological tissues undergo damage in the form of stiffness degradation without apparent changes in their stress-free geometry. Accurate simulation of this behavior is critical in applications…

Computational Engineering, Finance, and Science · Computer Science 2026-04-07 Mark Wilkinson , Amirhossein Amiri-Hezaveh , Adrian Buganza Tepole

JAX-bandflux is a JAX implementation of critical supernova modelling functionality for cosmological analysis. The codebase implements key components of the established library SNCosmo in a differentiable framework, offering efficient…

Instrumentation and Methods for Astrophysics · Physics 2025-04-14 Samuel Alan Kossoff Leeney

Solving complex fluid-structure interaction (FSI) problems, which are described by nonlinear partial differential equations, is crucial in various scientific and engineering applications. Traditional computational fluid dynamics based…

Computational Physics · Physics 2023-03-24 Xiantao Fan , Jian-Xun Wang

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

We consider the challenge of black-box optimization within hybrid discrete-continuous and variable-length spaces, a problem that arises in various applications, such as decision tree learning and symbolic regression. We propose DisCo-DSO…

Machine Learning · Computer Science 2024-12-17 Jacob F. Pettit , Chak Shing Lee , Jiachen Yang , Alex Ho , Daniel Faissol , Brenden Petersen , Mikel Landajuela

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

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
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