A library of systems of partial differential equations, as defined with ModelingToolkit.jl in Julia

Differential equations on manifolds

A Julia package for constrained trajectory optimization using direct methods.

ParameterEstimation.jl is a Julia package for estimating parameters and initial conditions of ODE models given measurement data.

Quantum Optimal Control with Direct Collocation

Learning state-space targets in dynamical systems

A component library based on ModelingToolkit

Unitary and Lindbladian evolution in Julia

Julia Catalyst.jl importers for various reaction network file formats like BioNetGen and stoichiometry matrices

Adaptive numerical solution of Kadanoff-Baym equations

ClimaCoupler: bringing atmosphere, land, and ocean together

Stochastic delay differential equations (SDDE) solvers for the SciML scientific machine learning ecosystem

Differential equation problem specifications and scientific machine learning for common financial models

Statistical standard error estimation tools for correlated data

Builds conductance based neural networks iteratively, from ion channels and synapses

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Simulate quantum systems consisting of many spins interacting via dipole-dipole interaction

Tools for the Simulation and Execution of Quantum Annealing Algorithms

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Signal logging and scoping for DifferentialEquations.jl simulations.

Julia MathML parser

A tool to solve optimal control problem

Implicit Runge-Kutta Gauss-Legendre 16th order (Julia)

Functions plot PowerModels networks

Flux reconstruction method for advection-diffusion type physics

Implementations of Infinitesimal Continuous Normalizing Flows Algorithms in Julia

Simple differential equation solvers in native Julia for scientific machine learning (SciML)

Abstraction layer for spanning factor graphs over various technologies

Symbolic-Numeric Universal Differential Equations for Automating Scientific Machine Learning (SciML)

Astrodynamics with units! Provides common astrodynamics calculations, plotting, and iterative Halo, Kepler, and Lambert solvers.

A package designed for simulating biological dynamics and control.

Finite Element Module for Julia that focusses on gradient-robust discretisations and multiphysics problems

Wrappers for the SciPy differential equation solvers for the SciML Scientific Machine Learning organization

A convenience meta-package for quantum optimal control using the Pade Integrator COllocation (PICO) method

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The Julia implementation of the generalised hierarchical Gaussian filter

Throw stuff

Astrodynamics with units! Provides common astrodynamics calculations, plotting, and iterative Halo, Kepler, and Lambert solvers.

Piecewise Deterministic Markov Processes in Julia

Turbulence-resolving simulations of boundary-layer flows (DNS & LES)