scikit-fem
scikit-fem: A Python package for finite element assembly - Published in JOSS (2020)
Physics-Informed Neural networks for Advanced modeling
Physics-Informed Neural networks for Advanced modeling - Published in JOSS (2023)
pyro
pyro: a framework for hydrodynamics explorations and prototyping - Published in JOSS (2019)
CASTRO
CASTRO: A Massively Parallel Compressible Astrophysics Simulation Code - Published in JOSS (2020)
Kinetic.jl
Kinetic.jl: A portable finite volume toolbox for scientific and neural computing - Published in JOSS (2021)
CurvilinearGrids.jl
CurvilinearGrids.jl: A Julia package for curvilinear coordinate transformations - Published in JOSS (2024)
MOLE
MOLE: Mimetic Operators Library Enhanced - Published in JOSS (2024)
fib-tf
fib-tf: A TensorFlow-based Cardiac Electrophysiology Simulator - Published in JOSS (2018)
DEVSIM
DEVSIM: A TCAD Semiconductor Device Simulator - Published in JOSS (2022)
deepxde
A library for scientific machine learning and physics-informed learning
ModelingToolkit
An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations
NeuralPDE
Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
SciMLBenchmarks
Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R
DiffEqBase
The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
deterministicparticleflowcontrol
Repository for Deterministic Particle Flow Control framework
SciMLTutorials
Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
FEniCS
A scientific machine learning (SciML) wrapper for the FEniCS Finite Element library in the Julia programming language
Adapode
Adaptive P/ODE numerics with Grassmann element TensorField assembly
pararealgpu.jl
A distributed and GPU-based implementation of the Parareal algorithm for parallel-in-time integration of equations of motion.
https://github.com/amrex-combustion/pelelm
An adaptive mesh hydrodynamics simulation code for low Mach number reacting flows
https://github.com/amrex-astro/maestro
A low Mach number stellar hydrodynamics code
https://github.com/bchao1/poissonpy
📈 poissonpy is a Python Poisson Equation library for scientific computing, image and video processing, and computer graphics.
bout-dev
BOUT++: Plasma fluid finite-difference simulation code in curvilinear coordinate systems
https://github.com/byuflowlab/flowvpm.jl
Meshless large eddy simulation through the reformulated vortex particle method
https://github.com/ceyron/exponax
Efficient Differentiable n-d PDE solvers in JAX.
BoundaryCrossingProbabilities
Computes the boundary crossing probability for a general diffusion process and time-dependent boundary.
bosss
BoSSS is a flexible framework for the development, evaluation & application of numerical discretization schemes based on the Discontinuous Galerkin method
turing_patterns_bud_scars
The project investigates the effect of introducing a single hole on the unit sphere on the Turing patterns of the Schnakenberg model.
Einstein
Einstein.jl is a high-performance suite designed to compute arbitrary-precision solutions of PDEs in general relativity.