The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms

A Julia package for Deep Backwards Stochastic Differential Equation (Deep BSDE) and Feynman-Kac methods to solve high-dimensional PDEs without the curse of dimensionality

A simple tool for simulating trapped ion systems

Bayesian Generalized Linear models using `@formula` syntax.

Simulation and visualization of articulated rigid body systems in Julia

DIVAnd performs an n-dimensional variational analysis of arbitrarily located observations

Generalized mean-field equations in open quantum systems

Global glacier model using Universal Differential Equations for climate-glacier interactions

Taylor-mode automatic differentiation for higher-order derivatives

Turing + Makie = Turkie

Fast uncertainty quantification for scientific machine learning (SciML) and differential equations

Fast uncertainty quantification for scientific machine learning (SciML) and differential equations

High-performance simulations of the Porous Electrode Theory for Li-ion batteries

An open-source framework written in Julia for global integrated assessment models.

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

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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.

Atomic graph models for molecules and crystals in Julia

Darcy flow and reservoir simulator based on Jutul.jl

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

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

Conic Augmented Lagrangian Interior-Point SOlver

Choo-choo

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.

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

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.

Definition of dynamical systems and integrators for DynamicalSystems.jl

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

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

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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