Top 8 Julia partial-differential-equation Projects

DifferentialEquations.jl

6 2,754 7.3 Julia

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.
NeuralPDE.jl

10 901 9.7 Julia

Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

Project mention: Automatically install huge number of dependency? | /r/Julia | 2023-05-31

The documentation has a manifest associated with it: https://docs.sciml.ai/NeuralPDE/dev/#Reproducibility. Instantiating the manifest will give you all of the exact versions used for the documentation build (https://github.com/SciML/NeuralPDE.jl/blob/gh-pages/v5.7.0/assets/Manifest.toml). You just ]instantiate folder_of_manifest. Or you can use the Project.toml.

InfluxDB

www.influxdata.com sponsored

Power Real-Time Data Analytics at Scale. Get real-time insights from all types of time series data with InfluxDB. Ingest, query, and analyze billions of data points in real-time with unbounded cardinality.
DiffEqFlux.jl

2 836 8.9 Julia

Pre-built implicit layer architectures with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods
Gridap.jl

2 639 9.2 Julia

Grid-based approximation of partial differential equations in Julia
ApproxFun.jl

2 524 7.1 Julia

Julia package for function approximation
DiffEqBase.jl

1 295 9.3 Julia

The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
FourierFlows.jl

0 197 8.4 Julia

Tools for building fast, hackable, pseudospectral partial differential equation solvers on periodic domains
WorkOS

workos.com sponsored

The modern identity platform for B2B SaaS. The APIs are flexible and easy-to-use, supporting authentication, user identity, and complex enterprise features like SSO and SCIM provisioning.
MethodOfLines.jl

2 148 9.1 Julia

Automatic Finite Difference PDE solving with Julia SciML

NOTE: The open source projects on this list are ordered by number of github stars. The number of mentions indicates repo mentiontions in the last 12 Months or since we started tracking (Dec 2020).