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Many uncertainty propagation software exist, written in different programming languages, but not all of them are able to handle functional correlation between quantities. In this paper we review one strategy to deal with uncertainty…

数据分析、统计与概率 · 物理学 2016-10-28 Mosè Giordano

We present Trixi.jl, a Julia package for adaptive high-order numerical simulations of hyperbolic partial differential equations. Utilizing Julia's strengths, Trixi.jl is extensible, easy to use, and fast. We describe the main design choices…

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…

编程语言 · 计算机科学 2012-09-25 Jeff Bezanson , Stefan Karpinski , Viral B. Shah , Alan Edelman

The integration of converter-interfaced generation (CIG) from renewable energy sources poses challenges to the stability and transient behavior of electric power systems. Understanding the dynamic behavior of low-inertia power systems is…

系统与控制 · 电气工程与系统科学 2020-03-09 Rodrigo Henriquez-Auba , Jose D. Lara , Ciaran Roberts , Nathan Pallo , Duncan S. Callaway

We present StochasticPrograms.jl, a user-friendly and powerful open-source framework for stochastic programming written in the Julia language. The framework includes both modeling tools and structure-exploiting optimization algorithms.…

最优化与控制 · 数学 2022-09-07 Martin Biel , Mikael Johansson

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…

系统与控制 · 电气工程与系统科学 2024-03-26 Jose Daniel Lara , Rodrigo Henriquez-Auba , Matthew Bossart , Duncan S. Callaway , Clayton Barrows

In this paper, we extend the method proposed by Cochelin and Vergez [A high order purely frequency-based harmonic balance formulation for continuation of periodic solutions, Journal of Sound and Vibration, 324 (2009) 243-262] to the case of…

经典物理 · 物理学 2012-11-29 Sami Karkar , Bruno Cochelin , Christophe Vergez

This paper introduces the TulipaProfileFitting.jl package, a tool developed in Julia for generating renewable energy profiles that fit a specified capacity factor. It addresses the limitations of naive methods in adjusting existing profiles…

最优化与控制 · 数学 2024-08-28 Diego A. Tejada-Arango , Germán Morales-España , Abel S. Siqueira , Özge Özdemir

We present a Julia-based interface to the precompiled HALLaR and cuHALLaR binaries for large-scale semidefinite programs (SDPs). Both solvers are established as fast and numerically stable, and accept problem data in formats compatible with…

OutlierDetection.jl is an open-source ecosystem for outlier detection in Julia. It provides a range of high-performance outlier detection algorithms implemented directly in Julia. In contrast to previous packages, our ecosystem enables the…

机器学习 · 计算机科学 2022-11-10 David Muhr , Michael Affenzeller , Anthony D. Blaom

Score-driven models, also known as generalized autoregressive score models, represent a class of observation-driven time series models. They possess powerful properties, such as the ability to model different conditional distributions and…

统计计算 · 统计学 2020-08-27 Guilherme Bodin , Raphael Saavedra , Cristiano Fernandes , Alexandre Street

IntrinsicTimescales.jl is a Julia package to perform estimation of intrinsic neural timescales (INTs). INTs are defined as the time window in which prior information from an ongoing stimulus can affect the processing of newly arriving…

神经元与认知 · 定量生物学 2025-05-20 Yasir Catal , Georg Northoff

We introduce Dionysos.jl, a modular package for solving optimal control problems for complex dynamical systems using state-of-the-art and experimental techniques from symbolic control, optimization, and learning. More often than not with…

系统与控制 · 电气工程与系统科学 2025-02-14 Julien Calbert , Adrien Banse , Benoît Legat , Raphaël M. Jungers

We present JuliaReach, a toolbox for set-based reachability analysis of dynamical systems. JuliaReach consists of two main packages: Reachability, containing implementations of reachability algorithms for continuous and hybrid systems, and…

系统与控制 · 电气工程与系统科学 2024-12-20 Sergiy Bogomolov , Marcelo Forets , Goran Frehse , Kostiantyn Potomkin , Christian Schilling

Integrating computational fluid dynamics (CFD) software into optimization and machine-learning frameworks is hampered by the rigidity of classic computational languages and the slow performance of more flexible high-level languages.…

流体动力学 · 物理学 2023-04-18 Gabriel D. Weymouth , Bernat Font

The Yau-Yau nonlinear filter has increasingly emerged as a powerful tool to study stochastic complex systems. To leverage it to a wider spectrum of application scenarios, we pack the Yau-Yau filtering ALgorithms (YauYauAL) into a package of…

应用统计 · 统计学 2025-06-12 Yu Wang , Shuyuan Xu , Xueda Wei , Xinrui Luo , Stephen Shing-Toung Yau , Shing-Tung Yau , Rongling Wu

The Harmonic Balance-Alternating Frequency-Time domain (HB-AFT) method is extensively employed for dynamic response analysis of nonlinear systems. However, its application to high-dimensional complex systems is constrained by the manual…

计算工程、金融与科学 · 计算机科学 2025-08-12 Yi Chen , Yuhong Jin , Rongzhou Lin , Yifan Jiang , Xutao Mei , Lei Houb , Yilong Wang , Ng Teng Yong , Anxin Guo

Modern electric power systems have an increasingly complex structure due to rise in power demand and integration of diverse energy sources. Monitoring these large-scale systems, which relies on efficient state estimation, represents a…

Networks of neural mass nodes with delayed interactions are increasingly being used as models for large-scale brain activity. To complement the growing number of computational studies of such networks, it is timely to develop new…

动力系统 · 数学 2025-09-29 S Coombes , H G E Meijer

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…

机器学习 · 计算机科学 2020-02-10 Mohamed Tarek , Kai Xu , Martin Trapp , Hong Ge , Zoubin Ghahramani