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

A Julia package to import Vensim .xmile files as ModelingToolkit.jl models.

Model associated to Elife paper Rodrigues et al. 2023

SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals

Experimental Approach to McCormick Relaxation Source-Code Transformation

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

Ship maneuvering simulation tool with respect to ShipMMG model

Functions to run the SBML Test Suite with SBMLToolkit, create logs and create reports for the SBML Test Suite Database

SBML differential equation and chemical reaction model (Gillespie simulations) for Julia's SciML ModelingToolkit

Import dynamic models in the SBML format into a ReactionSystem for Gillespie, SDE and ODE simulations

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

The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms

A package for obtaining the effective time-averaged Lindbladian.

Generalized mean-field equations in open quantum systems

Build equations with informative errors for missing variables by explicitly assigning a process to each variable of the equations

Package for dynamical modeling of power grids

An unofficial implementation of publicly available approximated polynomial models for NASA's Generic Transport Model aircraft.

An interface for accelerated simulation of high-dimensional collisionless and electrostatic plasmas.

Create parameter estimation problems for ODE models

The julia library for the peccon project

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

Common types and interface for discretizers of ModelingToolkit PDESystems.

Julia implementation of Path Weight Sampling (PWS) to compute information transmission rates

A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications

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

OrbitalTrajectories.jl is a modern orbital trajectory design, optimisation, and analysis library for Julia, providing methods and tools for designing spacecraft orbits and transfers via high-performance simulations of astrodynamical models.

A tool to solve optimal control problem

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

Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

Programs modeled after "Numerical Methods for Engineers" by D.V. Griffiths and I.M. Smith

Direct solution of the Chemical Master Equation in Julia.

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

Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

Helper functions with ModelingToolkit

From Semiconductor to TransistorLevel Modeling in Julia

Tools to generate and study moment equations for any chemical reaction network using various moment closure approximations

High-level model-order reduction to automate the acceleration of large-scale simulations

A standard library of components to model the world and beyond

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

A helper tool for visualizing and editing a ModelingToolkit.jl system connections