A Julia package for real-time audification of ODEs and SDEs

Reimplementation of a truncated multivariate distribution with fast, exact minimax-tilting based sampling.

Parameter estimation under uncertainty.

This Julia package performs the numerical integration of two Approximated Master Equations on networks: the Cavity Master Equation and the Conditional Dynamic Approximation

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

A simple package for MTK-based model testing

FMIBase.jl provides the foundation for the Julia packages FMIImport.jl and FMIExport.jl.

Importers for the BaseModelica standard into the Julia ModelingToolkit ecosystem

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ConceptualClimateModels.jl is a Julia package for creating and analysing conceptual models of climate, such as energy balance models, glaciation cycle models, or climate tipping models.

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

Simple predictive models for tumor growth, and tools to apply them to clinical data

Tools for post-processing solutions of immersed layer PDEs

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A Julia package for regression in the sphere based on Universal Differential Equations

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Ecosystem of numerical methods for microbial kinetics data analysis, from preprocessing to result interpretation.

MeshGraphNets.jl is a software package for the Julia programming language that provides an implementation of the MeshGraphNets framework by Google DeepMind for simulating mesh-based physical systems via graph neural networks.

Optimal experimental design of ODE and DAE systems in julia

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

Algorithms for the transport of mass and energy in the environment

Multivariate (generalized) scattered data interpolation with symmetric (conditionally) positive definite kernel functions in arbitrary dimension

This package simplifies evolutionary algorithms for applications in systems biology. It can be used to generate oscillating reaction networks, networks that match input timeseries data, or fit parameters (rateconstants).

A flexible toolkit for simulation based inference in Julia

Common galactic potential models as ModelingToolkit systems!

Julia implementation of joint models combining longitudinal and survival endpoints

A Julia library of positivity-preserving time integration methods

Common solvers within orbital mechanics and astrodynamics.

Unfortunately, FMUs (fmi-standard.org) are not differentiable by design. To enable their full potential inside Julia, FMISensitivity.jl makes FMUs fully differentiable, regarding to: states and derivatives | inputs, outputs and other observable variables | parameters | event indicators | explicit time | state change sensitivity by event

A small step for dynamics, a giant leap for SciML

Model coupled diffusion of major elements in garnet using natural data.

A general-purpose Julia package for structural and system reliability analysis.

A Julia package to simulate and model interstellar scattering in strong regime.

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

The gap between theory and practice is in practice greater than in theory.

Fast and flexible glacier ice flow models

A high-performance library for gradient based quantum optimal control

Interface library for using Trixi.jl from C/C++/Fortran

Simulations of epithelial dynamics in 1D.

This package provides a numerical method of applying linear noise approximation (LNA) to a given reaction system