Dependency Packages

PDEBase.jl9Common types and interface for discretizers of ModelingToolkit PDESystems.

QuantumCollocation.jl9Quantum Optimal Control with Direct Collocation

DiffEqBiological.jl342Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPUparallelized, and O(1) solvers in open source software

Catalyst.jl342Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPUparallelized, and O(1) solvers in open source software

SymbolicControlSystems.jl39Ccode generation and an interface between ControlSystems.jl and SymPy.jl

SkeelBerzins.jl10Solver for 1D nonlinear partial differential equations in Julia based on the collocation method of Skeel and Berzins

EasyModelAnalysis.jl74High level functions for analyzing the output of simulations

ModelingToolkitDesigner.jl35A helper tool for visualizing and editing a ModelingToolkit.jl system connections

ParametricMCPs.jl8Mixed complementarity problems parameterized by a "runtime"parameter vector with support for implicit differentiation.

QuantumCumulants.jl52Generalized meanfield equations in open quantum systems

DifferentiableTrajectoryOptimization.jl40Differentiable trajectory optimization in Julia.

DiffEqTutorials.jl694Tutorials for doing scientific machine learning (SciML) and highperformance differential equation solving with open source software.

DSGE.jl798Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)

Justly.jl11Beyond the scale

DPFEHM.jl21DPFEHM: A Differentiable Subsurface Flow Simulator

PETLION.jl47Highperformance simulations of the Porous Electrode Theory for Liion batteries

DiffEqBayesStan.jl2Stan only version of DiffEqBayes.jl

CALIPSO.jl45Conic Augmented Lagrangian InteriorPoint SOlver

ExactODEReduction.jl9Exact reduction of ODE models via linear transformations

Tapestree.jl9

DiffEqBayes.jl117Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations and perform Bayesian probabilistic scientific machine learning

NetworkJumpProcesses.jl2Julia package to facilitate the construction of JumpProblems on graphs.

StructuralIdentifiability.jl63Fast and automatic structural identifiability software for ODE systems

PolynomialGTM.jl4An unofficial implementation of publicly available approximated polynomial models for NASA's Generic Transport Model aircraft.

DisjunctiveProgramming.jl12A JuMP extension for Generalized Disjunctive Programming

ODINN.jl27Global glacier model using Universal Differential Equations for climateglacier interactions

FMIFlux.jl33FMIFlux.jl is a freetouse software library for the Julia programming language, which offers the ability to set up NeuralFMUs just like NeuralODEs: You can place FMUs (fmistandard.org) simply inside any feedforward ANN topology and keep the resulting hybrid model trainable with a standard (or custom) FluxML training process.

Nonconvex.jl91Toolbox for nonconvex constrained optimization.

GeometricProblems.jl4Example problems for GeometricIntegrators.jl

VoronoiFVMDiffEq.jl2

RigorousInvariantMeasures.jl7Package for the Rigorous Computation of Invariant Measures

QuantumOptics.jl459Library for the numerical simulation of closed as well as open quantum systems.

TensND.jl3Package allowing tensor calculations in arbitrary coordinate systems.

PostNewtonian.jl11Orbital dynamics and waveforms for binary blackhole systems, in the postNewtonian approximation

InvariantMeasures.jl0InvariantMeasures

ParameterEstimation.jl17ParameterEstimation.jl is a Julia package for estimating parameters and initial conditions of ODE models given measurement data.

PowerDynamics.jl88Package for dynamical modeling of power grids

Decapodes.jl19A framework for composing and simulating multiphysics systems

IntervalConstraintProgramming.jl60Calculate rigorously the feasible region for a set of realvalued inequalities with Julia

CollectiveSpins.jl22Simulate quantum systems consisting of many spins interacting via dipoledipole interaction
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