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

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

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An open source model predictive control package for Julia.

Atomic graph models for molecules and crystals in Julia

Julia package for solving singular integral equations

CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.

Darcy flow and reservoir simulator based on Jutul.jl

Choo-choo

Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.

Functions to compute omnidirectional landscape connectivity using circuit theory and the Omniscape algorithm.

A Julia package for representing block-banded matrices and banded-block-banded matrices

FMIFlux.jl is a free-to-use software library for the Julia programming language, which offers the ability to place FMUs (fmi-standard.org) everywhere inside of your ML topologies and still keep the resulting model trainable with a standard (or custom) FluxML training process.

Robust and optimal design and analysis of linear control systems

Definition of dynamical systems and integrators for DynamicalSystems.jl

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

Boundary Element Analysis and Simulation Toolkit

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Trajectory Optimization for Robot Arms

A few preconditioners for iterative solvers.

Implicit Layer Machine Learning via Deep Equilibrium Networks, O(1) backpropagation with accelerated convergence.

Finds relationships between the parameters of a mathematical model

C-code generation and an interface between ControlSystems.jl and SymPy.jl

A library for building differential equations arising from physical problems for physics-informed and scientific machine learning (SciML)

Measure the distance between two spectra/signals using optimal transport and related metrics

Geometric Numerical Integration in Julia

A framework for composing and simulating multiphysics systems

A CPU- and GPU-friendly package for solving ordinary differential equations

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

Embedded finite element methods in Julia

Gmsh generated meshes for Gridap

Structure Preserving Machine Learning Models in Julia

Boundary value problem (BVP) solvers for scientific machine learning (SciML)

Experimental framework for automatic differentiation finite-volume simulators

Methods for computational information geometry

Various Kalman Filters: KF, UKF, AUKF and their Square root variant

A suite of tools for solving Nonlinear Schrodinger equations via higher-order algorithms and Darboux transformations.

A Petri net modeling framework for the Julia programming language

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

A Julia package for classical orthogonal polynomials and expansions