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A library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)

Groebner bases in (almost) pure Julia

An open source model predictive control package for Julia.

Rigorous function approximation using Taylor models in Julia

Fast and simple nonlinear solvers for the SciML common interface. Newton, Broyden, Bisection, Falsi, and more rootfinders on a standard interface.

CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.

Atomic graph models for molecules and crystals in Julia

Julia package for solving singular integral equations

Darcy flow and reservoir simulator based on Jutul.jl

Conic Augmented Lagrangian Interior-Point SOlver

Easy scientific machine learning (SciML) parameter estimation with pre-built loss functions

Choo-choo

Distributed Julia arrays using the MPI protocol

Import, process and interpret geophysical data sets to be used in numerical models.

Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.

Nonlinear optical pulse propagator

Functions to compute omnidirectional landscape connectivity using circuit theory and the Omniscape algorithm.

A Power Flow Solver for GPUs in Julia

Distributed Data Parallel Training of Deep Neural Networks

Differentiable trajectory optimization in Julia.

Robust and optimal design and analysis of linear control systems

FMIFlux.jl is a free-to-use software library for the Julia programming language, which offers the ability to place FMUs (fmi-standard.org) everywhere inside of your ML topologies and still keep the resulting model trainable with a standard (or custom) FluxML training process.

Library supporting the ArrayInterface.jl strided array interface.

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Efficient, Accurate, and Streamlined Training of Physics-Informed Neural Networks

Definition of dynamical systems and integrators for DynamicalSystems.jl

A Julia package for solving nonlinear differential equations using the harmonic balance method.

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The automatically differentiable and GPU-compatible toolkit for CMB analysis.

Static types useful for dispatch and generated functions.

A collection of B-spline tools in Julia

A foolproof way of doing ML with GUI elements.

Trajectory Optimization for Robot Arms

Frequency domain, multi-tone harmonic balance, simulation of scattering parameters and noise in nonlinear circuits containing Josephson junctions.

A few preconditioners for iterative solvers.

Implicit Layer Machine Learning via Deep Equilibrium Networks, O(1) backpropagation with accelerated convergence.

C-code generation and an interface between ControlSystems.jl and SymPy.jl

Finds relationships between the parameters of a mathematical model

Logic Circuits from the Juice library