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NetworkDynamics.jl is an easy-to-use and computationally efficient package for working with heterogeneous dynamical systems on complex networks, written in Julia, a high-level, high-performance, dynamic programming language. By combining…

Mathematical Software · Computer Science 2021-07-02 Michael Lindner , Lucas Lincoln , Fenja Drauschke , Julia Monika Koulen , Hans Würfel , Anton Plietzsch , Frank Hellmann

Accurate and efficient methods to simulate nonadiabatic and quantum nuclear effects in high-dimensional and dissipative systems are crucial for the prediction of chemical dynamics in condensed phase. To facilitate effective development,…

Simulation of non-adiabatic dynamics of a quantum system coupled to dissipative environments poses significant challenges. New sophisticated methods are regularly being developed with an eye towards moving to larger systems and more…

Quantum Physics · Physics 2023-06-07 Amartya Bose

Dynamic languages have become popular for scientific computing. They are generally considered highly productive, but lacking in performance. This paper presents Julia, a new dynamic language for technical computing, designed for performance…

Programming Languages · Computer Science 2012-09-25 Jeff Bezanson , Stefan Karpinski , Viral B. Shah , Alan Edelman

We present Gravity.jl, a new software for the modeling of gravitational lens systems. Gravity.jl is written in the Julia programming language, and is designed to be fast, accurate, and flexible. It can be used to model gravitational lens…

Instrumentation and Methods for Astrophysics · Physics 2024-10-23 Marco Lombardi

HarmonicBalance.jl is a publicly available Julia package designed to simplify and solve systems of periodic time-dependent nonlinear ordinary differential equations. Time dependence of the system parameters is treated with the harmonic…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Jan Košata , Javier del Pino , Toni L. Heugel , Oded Zilberberg

We present the preliminary high-level design and features of DynamicPPL.jl, a modular library providing a lightning-fast infrastructure for probabilistic programming. Besides a computational performance that is often close to or better than…

Machine Learning · Computer Science 2020-02-10 Mohamed Tarek , Kai Xu , Martin Trapp , Hong Ge , Zoubin Ghahramani

Evaluation of relativistic molecular integrals over exponential-type spinor orbitals require using the relativistic auxiliary functions in prolate spheroidal coordinates. They have derived recently by the author [Physical Review E 91,…

Computational Physics · Physics 2022-01-26 Ali Bagci

We discuss and implement a spectral method approach to computing stationary and axisymmetric black hole solutions and their properties in modified theories of gravity. The resulting code is written in the Julia language and is transparent…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Pedro G. S. Fernandes , David J. Mulryne

Sunny is a Julia package designed to serve the needs of the quantum magnetism community. It supports the specification of a very broad class of spin models and a diverse suite of numerical solvers. These include powerful methods for…

In this paper we present the development of an open-source simulation toolbox, PowerSimulationsDynamics.jl, to study the dynamic response of power systems, focusing on the requirements to model systems with high penetrations of…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Jose Daniel Lara , Rodrigo Henriquez-Auba , Matthew Bossart , Duncan S. Callaway , Clayton Barrows

BlockSystems.jl and NetworkDynamics.jl are two novel software packages which facilitate highly efficient transient stability simulations of power networks. Users may specify inputs and power system design in a convenient modular and…

Systems and Control · Electrical Eng. & Systems 2022-06-14 Anna Büttner , Hans Würfel , Anton Plietzsch , Michael Lindner , Frank Hellmann

SpiDy.jl solves the non-Markovian stochastic dynamics of interacting classical spin vectors and harmonic oscillator networks in contact with a dissipative environment. The methods implemented allow the user to include arbitrary memory…

Computational Physics · Physics 2024-05-31 Stefano Scali , Simon Horsley , Janet Anders , Federico Cerisola

We present an open source computational framework geared towards the efficient numerical investigation of open quantum systems written in the Julia programming language. Built exclusively in Julia and based on standard quantum optics…

Quantum Physics · Physics 2018-03-14 Sebastian Krämer , David Plankensteiner , Laurin Ostermann , Helmut Ritsch

We introduce Metatheory.jl: a lightweight and performant general purpose symbolics and metaprogramming framework meant to simplify the act of writing complex Julia metaprograms and to significantly enhance Julia with a native term rewriting…

Programming Languages · Computer Science 2021-04-14 Alessandro Cheli

Dynamical systems are ubiquitous in science and engineering as models of phenomena that evolve over time. Although complex dynamical systems tend to have important modular structure, conventional modeling approaches suppress this structure.…

Category Theory · Mathematics 2022-11-04 Sophie Libkind , Andrew Baas , Evan Patterson , James Fairbanks

Thermodynamic models are often vital when characterising complex systems, particularly natural gas, electrolyte, polymer, pharmaceutical and biological systems. However, their implementations have historically been abstruse and cumbersome,…

Computational Physics · Physics 2025-06-26 Pierre J. Walker , Hon-Wa Yew , Andrés Riedemann

As astronomical data grows in volume and complexity, the scalability of analysis software becomes increasingly important. At the same time, astrophysics analysis software relies heavily on open-source contributions, so languages and tools…

Instrumentation and Methods for Astrophysics · Physics 2024-02-01 Edward Berman , Jacqueline McCleary

FlowClass.jl is a Julia package for classifying continuous-time dynamical systems into a hierarchy of structural classes: Gradient, Gradient-like, Morse-Smale, Structurally Stable, and General. Given a vector field…

Dynamical Systems · Mathematics 2025-12-16 Michael P. H. Stumpf

PowerSimulations.jl is a Julia-based BSD-licensed power system operations simulation tool developed as a flexible and open source software for quasi-static power systems simulations including Production Cost Models. PowerSimulations.jl…

Systems and Control · Electrical Eng. & Systems 2024-04-05 Jose Daniel Lara , Clayton Barrows , Daniel Thom , Sourabh Dalvi , Duncan S. Callaway , Dheepak Krishnamurthy
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