Partial Differential Equations Python Packages

findiff

Python package for numerical derivatives and partial differential equations in any number of dimensions.

discretize

Discretization tools for finite volume and inverse problems.

simpeg

Simulation and Parameter Estimation in Geophysics - A python package for simulation and gradient based parameter estimation in the context of geophysical applications.

pinnforge

Solve PDEs in 3 lines of code: Physics-Informed Neural Networks made easy

fenics-ufl

UFL - Unified Form Language

fipy

FiPy is a Finite Volume PDE solver written in Python

py-pde

Python package for solving partial differential equations using finite differences.

felupe

Open finite element infrastructure for nonlinear computational mechanics.

fenics-ffcx

Next generation FEniCS Form Compiler for finite element forms

pysdc

pySDC is a Python implementation of the spectral deferred correction (SDC) approach and its flavors, esp. the multilevel extension MLSDC and PFASST.

semiflow-pde

Fast no_std Rust library for evolution equations and PDEs via Chernoff approximation of operator semigroups — heat, Schrödinger, diffusion, graph & manifold operators. Bindings for C, Python, and WebAssembly.

qc-grid

Python library for numerical integration, interpolation, and differentiation on (molecular) grids.

fenics-ufl-legacy

UFL - Unified Form Language

mgfd

Meshless Generalized Finite Differences (mGFD) solver and reference point-cloud datasets for 2D PDEs on irregular domains, with reproducible batches and benchmarks.

gelato

Generalized Locally Toeplitz

pypde

A Python library for solving any system of hyperbolic or parabolic Partial Differential Equations. The PDEs can have stiff source terms and non-conservative components.

flashslice

Fused Triton kernels for Transolver's slice/deslice. Official code for "Does Transolver really need a Transformer?" (arXiv:2609.32525)

pyefvlib

A library used to solve physical problems governed by partial differential equations, in particular conservation equations using the Element-based Finite Volume Method.

rkstiff

Runge-Kutta adaptive-step solvers for nonlinear PDEs. Solvers include both exponential time differencing and integrating factor methods.

greenlearning

Learning Green's functions of partial differential equations with deep learning.

kipe

Kalman-backed parameter estimation and identifiability analysis for partial differential equations

torch-cfd

[ICLR 2025] Neural Operator-Assisted Computational Fluid Dynamics in PyTorch

galerkin-transformer

[NeurIPS 2021] Galerkin Transformer: Neural Operator built on Attention for PDEs

triflow

NEW NAME AND HOSTING : The software changed his name and leave now in gitlab !