Ode Solver Python Packages

heyoka

Python library for ODE integration via Taylor's method and LLVM

pathsim

A Python native dynamical system simulation framework in the block diagram paradigm.

numbalsoda

Python wrapper of LSODA (solving ODEs) which can be called from within numba functions.

scientific-computing-system

Pure-Python computational science with zero runtime dependencies: linear algebra, ODE/PDE solvers, quadrature, Monte Carlo, statistics, signal processing, quantum simulation, uncertainty quantification, sensitivity analysis, dimensional analysis, and reproducible workflows.

sundials4py

Official development repository for SUNDIALS - a SUite of Nonlinear and DIfferential/ALgebraic equation Solvers. Pull requests are welcome for bug fixes and minor changes.

physai

PhysAI is an open-source, multi-backend framework for solving partial differential equations with Physics-Informed Neural Networks (PINNs), Fourier Neural Operators (FNOs), and Unified Spectral Element architectures. Has 57 pre-configured residuals and a built-in packaged numerical solver for most geometries and equations.

specular-differentiation

Specular differentiation and its applications

rkkit

Playing with Runge-Kutta methods and SageMath

cognitive-discovery-platform

Pure-Python computational science with zero runtime dependencies: linear algebra, ODE/PDE solvers, quadrature, Monte Carlo, statistics, signal processing, quantum simulation, uncertainty quantification, sensitivity analysis, dimensional analysis, and reproducible workflows.

pygoss

General ODE System Solver

cognitive-discovery-system

Pure-Python computational science with zero runtime dependencies: linear algebra, ODE/PDE solvers, quadrature, Monte Carlo, statistics, signal processing, quantum simulation, uncertainty quantification, sensitivity analysis, dimensional analysis, and reproducible workflows.

pydgq

ODE system solver using dG(q), time-discontinuous Galerkin with Lobatto basis. Py3.11-3.14.

pyhamsys

pyHamSys is a Python package for scientific computations involving Hamiltonian systems

scijit

scipy-equivalent numerical routines callable from inside numba @njit code, backed by the same Fortran packs scipy wraps. FITPACK splines, MINPACK/L-BFGS-B/SLSQP/PRIMA optimization, QUADPACK/ODEPACK integration. Same namespaces, same names, verified against scipy.

mechanicsdsl-core

Domain-specific language and compiler for physical systems. Write a Lagrangian, get a simulation. Twelve code generation backends, built on SymPy.

scipy-events

A library of events for scipy.integrate.solve_ivp.

dedekind

Dedekind is a high-performance, differentiable programming language for scientific computing and machine learning. It features compile-time physical units, automatic differentiation, built-in solvers, and GPU/TPU acceleration.

cellsim

Physics-first, uncertainty-honest in-silico cell and drug-response simulator (Python). Validated docking/ADMET input layer (Vina, OpenFF, xTB), cell-level PK/PD modules, and a cell/colony engine under construction toward a validated interactive dish.

extensisq

Extend scipy.integrate with various methods for solve_ivp

cleanode

Сustomized collection of ODE solvers

mathmethods-mcp

MCP server for numerical methods and dynamic systems: root finding, integration, ODEs, Monte Carlo, 1D/2D dynamical systems, and combat models.

zvode

Python bindings to the classic ZVODE library (in Fortran)

numba-integrators

Numerical ODE-solvers using numba

pydens

PyDEns is a framework for solving Ordinary and Partial Differential Equations (ODEs & PDEs) using neural networks