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Monte Carlo (MC) simulation includes a wide range of stochastic techniques used to quantitatively evaluate the behavior of complex systems or processes. Microsoft Excel spreadsheets with Visual Basic for Applications (VBA) software is,…

Mathematical Software · Computer Science 2015-07-22 Alexei Botchkarev

Merly.jl is a package for creating web applications in Julia. It presents features such as the creation of endpoints with function notation and with macro notation, handling of static files, use of path parameters, processing of data sent…

Software Engineering · Computer Science 2021-07-27 Josué Acevedo Maldonado

Proprietary closed-source software is still the norm in advanced process control. Transparency and reproducibility are key aspects of scientific research. Free and open-source toolkit can contribute to the development, sharing and…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Francis Gagnon , Alex Thivierge , André Desbiens , Fredrik Bagge Carlson

Computing systems interacting with real-world processes must safely and reliably process uncertain data. The Monte Carlo method is a popular approach for computing with such uncertain values. This article introduces a framework for…

A scientometric analysis of Monte Carlo simulation and Monte Carlo codes has been performed over a set of representative scholarly journals related to radiation physics. The results of this study are reported and discussed. They document…

Computational Physics · Physics 2010-12-16 Maria Grazia Pia , Tullio Basaglia , Zane W. Bell , Paul V. Dressendorfer

Monte Carlo is a simple and flexible tool that is widely used in computational finance. In this context, it is common for the quantity of interest to be the expected value of a random variable defined via a stochastic differential equation.…

Numerical Analysis · Mathematics 2015-05-06 Desmond J. Higham

We present a Monte Carlo simulation framework for analysing the risk involved in deploying real-time control systems in safety-critical applications, as well as an algorithm design technique allowing one (in certain situations) to robustify…

Optimization and Control · Mathematics 2022-08-04 Mads R. Bisgaard , Lukas Hewing , Alexander Domahidi

Although histogram methods have been extremely effective for analyzing data from Monte Carlo simulations, they do have certain limitations, including the range over which they are valid and the difficulties of combining data from…

Statistical Mechanics · Physics 2015-06-25 Robert H. Swendsen , Jian-Sheng Wang , Shing-Te Li , Brian Diggs , Christopher Genovese , Joseph B. Kadane

A brief introduction to the technique of Monte Carlo simulations in statistical physics is presented. The topics covered include statistical ensembles random and pseudo random numbers, random sampling techniques, importance sampling, Markov…

Statistical Mechanics · Physics 2016-08-31 K. P. N. Murthy

Space filling designs are central to studying complex systems in various areas of science. They are used for obtaining an overall understanding of the behaviour of the response over the input space, model construction and uncertainty…

Methodology · Statistics 2016-08-10 Shirin Golchi , Jason L. Loeppky

This article is a tutorial on Markov chain Monte Carlo simulations and their statistical analysis. The theoretical concepts are illustrated through many numerical assignments from the author's book on the subject. Computer code (in Fortran)…

Statistical Mechanics · Physics 2016-08-31 Bernd A. Berg

The main idea of this work is that the quantum-classical isomorphism is a suitable framework for a generalization of the notion of detailed balance. The quantum-classical isomorphism is used in order to develop a Monte Carlo simulation with…

Probability · Mathematics 2007-10-29 Yefim I. Leifman

We present MadFlow, a first general multi-purpose framework for Monte Carlo (MC) event simulation of particle physics processes designed to take full advantage of hardware accelerators, in particular, graphics processing units (GPUs). The…

Computational Physics · Physics 2021-08-18 Stefano Carrazza , Juan Cruz-Martinez , Marco Rossi , Marco Zaro

We consider a wide range of matrix models and study them using the Monte Carlo technique in the large $N$ limit. The results we obtain agree with exact analytic expressions and recent numerical bootstrap methods for models with one and two…

High Energy Physics - Theory · Physics 2022-04-05 Raghav G. Jha

MacroEnergy.jl (aka Macro) is an open-source framework for multi-sector capacity expansion modeling and analysis of macro-energy systems. It is written in Julia and uses the JuMP package to interface with a wide range of mathematical…

Physics and Society · Physics 2025-10-28 Ruaridh Macdonald , Filippo Pecci , Luca Bonaldo , Jun Wen Law , Yu Weng , Dharik Mallapragada , Jesse Jenkins

Quantum Monte Carlo (QMC) methods deliver highly accurate electronic structure calculations but are computationally intensive. The quantum Monte Carlo kernel library (QMCkl) provides a modular, portable collection of high-performance…

We introduce ReservoirComputing.jl, an open source Julia library for reservoir computing models. The software offers a great number of algorithms presented in the literature, and allows to expand on them with both internal and external…

Computational Engineering, Finance, and Science · Computer Science 2023-07-04 Francesco Martinuzzi , Chris Rackauckas , Anas Abdelrehim , Miguel D. Mahecha , Karin Mora

Monte Carlo simulation is an essential component of experimental particle physics in all the phases of its life-cycle: the investigation of the physics reach of detector concepts, the design of facilities and detectors, the development and…

Computational Physics · Physics 2012-08-02 Maria Grazia Pia , Georg Weidenspointner

The Self-Learning Monte Carlo (SLMC) method is a Monte Carlo approach that has emerged in recent years by integrating concepts from machine learning with conventional Monte Carlo techniques. Designed to accelerate the numerical study of…

Strongly Correlated Electrons · Physics 2025-07-18 Gaopei Pan , Chuang Chen , Zi Yang Meng

We present a cross-language C++/Python program for simulations of quantum mechanical systems with the use of Quantum Monte Carlo (QMC) methods. We describe a system for which to apply QMC, the algorithms of variational Monte Carlo and…

Computational Physics · Physics 2009-11-13 J. K. Nilsen