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#differential-equations

Every repository in the public record carrying this tag — from its GitHub topics or the keywords its package registries publish. Health is measured under the same versioned methodology as the rest of the record.

10 records
Tagged “differential-equations”Ranked by health index
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91Excellenthealth index
SciML/OrdinaryDiffEq.jl
High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)
Julia★ 678Sep 11, 2026
Custom licenseSep 11, 2026 · metrics 2.10.0
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90Excellenthealth index
SciML/DiffEqFlux.jl
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
Julia★ 926Sep 13, 2026
MITSep 13, 2026 · metrics 2.10.0
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88Excellenthealth index
SciML/ReservoirComputing.jl
Reservoir computing utilities for scientific machine learning (SciML)
Julia★ 232Sep 9, 2026
MITSep 9, 2026 · metrics 2.10.0
crates.io
83Excellenthealth index
cpmech/russell
Rust Scientific Library. ODE, DAE, and PDE solvers. Special functions (Bessel, Elliptic, Beta, Gamma, Erf). Linear algebra. Sparse solvers. Probability distributions. Tensor calculus. Numerical continuation.
Rust★ 193↓ 1,817/moSep 14, 2026
MITSep 14, 2026 · metrics 2.10.0
PyPI
80Excellenthealth index
patrick-kidger/diffrax
Numerical differential equation solvers in JAX. Autodifferentiable and GPU-capable. https://docs.kidger.site/diffrax/
Python★ 2,098↓ 258.2K/moSep 14, 2026
Apache-2.0Sep 14, 2026 · metrics 2.10.0
PyPI
77Goodhealth index
bluescarni/heyoka.py
Python library for ODE integration via Taylor's method and LLVM
Python · C++★ 92↓ 37.4K/moSep 25, 2026
MPL-2.0Sep 25, 2026 · metrics 2.10.0
PyPI
75Goodhealth index
gyorilab/mira
MIRA: machine-assisted modeling of dynamical systems
Jupyter Notebook★ 14Sep 29, 2026
BSD-2-ClauseSep 29, 2026 · metrics 2.10.0
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71Goodhealth index
infiniteopt/InfiniteOpt.jl
An intuitive modeling interface for infinite-dimensional optimization problems.
Julia★ 329Sep 12, 2026
MITSep 12, 2026 · metrics 2.10.0
PyPI · crates.io
69Goodhealth index
VolkovIlia/semiflow
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.
Rust · Python★ 3↓ 698/moSep 6, 2026
Apache-2.0Sep 6, 2026 · metrics 2.10.0
PyPI
19Criticalhealth index
google-research/torchsde
Differentiable SDE solvers with GPU support and efficient sensitivity analysis.
Python★ 1,726↓ 1.9M/moSep 17, 2026
Apache-2.0Sep 17, 2026 · metrics 2.10.0