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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.

8 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★ 662Jul 19, 2026
Custom licenseJul 19, 2026 · metrics 2.10.0
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89Excellenthealth 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★ 919Jul 23, 2026
MITJul 23, 2026 · metrics 2.10.0
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88Excellenthealth index
SciML/ReservoirComputing.jl
Reservoir computing utilities for scientific machine learning (SciML)
Julia★ 228Jul 17, 2026
MITJul 17, 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★ 2,077Jul 30, 2026
Apache-2.0Jul 30, 2026 · metrics 2.10.0
crates.io
78Goodhealth 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★ 191↓ 2,398/moJul 28, 2026
MITJul 28, 2026 · metrics 2.10.0
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75Goodhealth index
infiniteopt/InfiniteOpt.jl
An intuitive modeling interface for infinite-dimensional optimization problems.
Julia★ 320Jul 20, 2026
MITJul 20, 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/moAug 13, 2026
Apache-2.0Aug 13, 2026 · metrics 2.10.0