3D multi-source electromagnetic simulations in frequency domain, implementing the augmented partial factorization (APF) and other methods.

Find attractors (and their basins) of dynamical systems. Perform global continuation. Study global stability (a.k.a. non-local, or resilience). Also tipping points functionality.

Provide some MPS-based algorithms such as DMRG and TDVP.

Thebes.jl is a simple little package that provides 3D services to Luxor.jl.

Fast approximate high-dimensional hierarchical Bayesian inference

A time domain electrical energy grid modeling and simulation tool with a focus on the control of power electronics converters

Differentiable matrix factorizations using ImplicitDifferentiation.jl.

Sparse multidimensional arrays using a DOK format, with support for TensorOperations.jl

Simulation of simple controls problems in Julia

A full stack simulator of quantum hardware, from the low-level analog physics to high-level network dynamics. Includes discrete event simulator, symbolic representation for quantum object, and works with many backend simulators.

Solvers for steady states in scientific machine learning (SciML)

A turbulence-convection single column model cloud parameterization.

Trajectory simulations for point particles in Ocean, Atmosphere, etc flow fields

Quantum dynamics simulation environment

DPFEHM: A Differentiable Subsurface Flow Simulator

TrixiParticles.jl: Particle-based multiphysics simulations in Julia

A scaffolding for building inviscid flow models

TensorOperations.jl compatible fast contractor for Julia, based on TBLIS, with generic strides and automatic differentiation support, within 400 lines.

A unified interface for simulations of the Bio-Energetic model on food webs

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

Differential equations on manifolds

Unitary and Lindbladian evolution in Julia

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

Learning state-space targets in dynamical systems

A component library based on ModelingToolkit

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

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Optimization framework for nonlinear, gradient-based constrained, sparse optimization problems.

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

ClimaCoupler: bringing atmosphere, land, and ocean together

Geothermal Cloud for Machine Learning

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

Tools for the Simulation and Execution of Quantum Annealing Algorithms

An easy to use Flux implementation of the Kolmogorov Arnold Network. This is a Julia version of TorchKAN.

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

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A tool to solve optimal control problem

Abstraction layer for spanning factor graphs over various technologies

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

Flux reconstruction method for advection-diffusion type physics