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Fractional calculus has become widely studied and applied to physical problems in recent years. As a result, many methods for the numerical computation of fractional derivatives and integrals have been defined. However, these algorithms are…

Mathematical Software · Computer Science 2019-12-12 Matthew Adams

Qudi is a general, modular, multi-operating system suite written in Python 3 for controlling laboratory experiments. It provides a structured environment by separating functionality into hardware abstraction, experiment logic and user…

Mathematical models allow us to gain a deeper understanding of real-world dynamical systems. One of the most powerful mathematical frameworks for modeling real-world phenomena are systems of differential equations. In the majority of fields…

Disordered Systems and Neural Networks · Physics 2023-05-02 Richard Gast , Thomas R. Knösche , Ann Kennedy

PokerKit is an open-source Python library designed to overcome the restrictions of existing poker game simulation and hand evaluation tools, which typically support only a handful of poker variants and lack flexibility in game state…

Artificial Intelligence · Computer Science 2024-09-04 Juho Kim

Scikit-learn is a Python module integrating a wide range of state-of-the-art machine learning algorithms for medium-scale supervised and unsupervised problems. This package focuses on bringing machine learning to non-specialists using a…

Domain-specific high-productivity environments are playing an increasingly important role in scientific computing due to the levels of abstraction and automation they provide. In this paper we introduce Devito, an open-source…

Mathematical Software · Computer Science 2017-07-13 Michael Lange , Navjot Kukreja , Fabio Luporini , Mathias Louboutin , Charles Yount , Jan Hückelheim , Gerard J. Gorman

Open-source simulation frameworks are evolving rapidly to provide accessible tools for the numerical solution of partial differential equations. Modern finite element (FEM) software such as FEniCS, Firedrake, or dune-fem alleviates the need…

Computational Physics · Physics 2025-09-03 Benjamin Terschanski , Robert Klöfkorn , Andreas Dedner , Julia Kowalski

Many numerical simulation tools have been developed and are on the market, but there is still a strong need for appropriate tools capable of simulating multi-field problems, especially in aeroacoustics. Therefore, openCFS provides an…

Computational Engineering, Finance, and Science · Computer Science 2026-01-12 Andreas Wurzinger , Patrick Heidegger , Stefan Schoder

ScopeSim is a flexible multipurpose instrument data simulation framework built in Python. It enables both raw and reduced observation data to be simulated for a wide range of telescopes and instruments quickly and efficiently on a personal…

Instrumentation and Methods for Astrophysics · Physics 2021-09-29 Kieran Leschinski , Hugo Buddelmeijer , Oliver Czoske , Miguel Verdugo , Gijs Verdoes-Kleijn , Werner Zeilinger

We describe a novel, interdisciplinary, computational methods course that uses Python and associated numerical and visualization libraries to enable students to implement simulations for a number of different course modules. Problems in…

Chaotic Dynamics · Physics 2007-05-23 Christopher R. Myers , James. P. Sethna

Physics Informed Neural Network (PINN) is a scientific computing framework used to solve both forward and inverse problems modeled by Partial Differential Equations (PDEs). This paper introduces IDRLnet, a Python toolbox for modeling and…

Machine Learning · Computer Science 2021-07-12 Wei Peng , Jun Zhang , Weien Zhou , Xiaoyu Zhao , Wen Yao , Xiaoqian Chen

PySCF is a general-purpose electronic structure platform designed from the ground up to emphasize code simplicity, both to aid new method development, as well as for flexibility in computational workflow. The package provides a wide range…

Operator-splitting methods are widespread in the numerical solution of differential equations, especially the initial-value problems in ordinary differential equations that arise from a method-of-lines discretization of partial differential…

Numerical Analysis · Mathematics 2024-07-09 Victoria Guenter , Siqi Wei , Raymond J. Spiteri

Despite decades of advancements, the simulation of fluids remains one of the most challenging areas of in scientific computing. Supported by the necessity of gradient information in deep learning, differentiable simulators have emerged as…

Machine Learning · Computer Science 2025-10-21 Aleksandra Franz , Hao Wei , Luca Guastoni , Nils Thuerey

Petri Net is a formalism to describe changes between 2 or more states across discrete time and has been used to model many systems. We present PNet - a pure Python library for Petri Net modeling and simulation in Python programming…

Mathematical Software · Computer Science 2023-02-24 Zhu En Chay , Bing Feng Goh , Maurice HT Ling

The recomputability and reproducibility of results from scientific software requires access to both the source code and all associated input and output data. However, the full collection of these resources often does not accompany the key…

Computational Engineering, Finance, and Science · Computer Science 2015-12-24 Christian T. Jacobs , Alexandros Avdis , Gerard J. Gorman , Matthew D. Piggott

We present Elvet, a Python package for solving differential equations and variational problems using machine learning methods. Elvet can deal with any system of coupled ordinary or partial differential equations with arbitrary initial and…

Machine Learning · Computer Science 2021-03-31 Jack Y. Araz , Juan Carlos Criado , Michael Spannowsky

NIFTY, "Numerical Information Field Theory", is a software package designed to enable the development of signal inference algorithms that operate regardless of the underlying spatial grid and its resolution. Its object-oriented framework is…

Instrumentation and Methods for Astrophysics · Physics 2013-06-06 Marco Selig , Michael R. Bell , Henrik Junklewitz , Niels Oppermann , Martin Reinecke , Maksim Greiner , Carlos Pachajoa , Torsten A. Enßlin

Quantum computing with qudits, an extension of qubits to multiple levels, is a research field less mature than qubit-based quantum computing. However, qudits can offer some advantages over qubits, by representing information with fewer…

Quantum Physics · Physics 2025-06-02 Tiago de Souza Farias , Lucas Friedrich , Jonas Maziero

We present Fiend - a simulation package for three-dimensional single-particle time-dependent Schr\"odinger equation for cylindrically symmetric systems. Fiend has been designed for the simulation of electron dynamics under inhomogeneus…

Computational Physics · Physics 2019-04-09 Janne Solanpää , Esa Räsänen