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Computer algebra algorithms are developed for evaluating the coefficients in Airy-type asymptotic expansions that are obtained from integrals with a large parameter. The coefficients are defined from recursive schemes obtained from…

Classical Analysis and ODEs · Mathematics 2013-10-04 Raimundas Vidunas , Nico M. Temme

We introduce TeMFpy, a Python library for converting fermionic mean-field states to finite or infinite matrix product state (MPS) form. TeMFpy includes new, efficient, and easy-to-understand algorithms for both Slater determinants and…

Strongly Correlated Electrons · Physics 2026-01-23 Simon H. Hille , Attila Szabó

Algorithmic fairness has received considerable attention due to the failures of various predictive AI systems that have been found to be unfairly biased against subgroups of the population. Many approaches have been proposed to mitigate…

Machine Learning · Computer Science 2025-03-14 Agathe Fernandes Machado , Suzie Grondin , Philipp Ratz , Arthur Charpentier , François Hu

We propose SymPlex, a reinforcement learning framework for discovering analytical symbolic solutions to partial differential equations (PDEs) without access to ground-truth expressions. SymPlex formulates symbolic PDE solving as…

Machine Learning · Computer Science 2026-02-04 Yesom Park , Annie C. Lu , Shao-Ching Huang , Qiyang Hu , Y. Sungtaek Ju , Stanley Osher

The automation of the traditional Painleve test in Mathematica is discussed. The package PainleveTest.m allows for the testing of polynomial systems of ordinary and partial differential equations which may be parameterized by arbitrary…

Exactly Solvable and Integrable Systems · Physics 2013-01-08 Douglas Baldwin , Willy Hereman

ergodicity is an open-source Python library for computational work on stochastic dynamics, with particular emphasis on non-ergodicity, time-average behavior, heavy-tailed processes, and decision making under uncertainty. The package brings…

Computation · Statistics 2026-05-14 Ihor Kendiukhov

simpcomp is an extension (a so called package) to GAP, the well known system for computational discrete algebra. The package enables the user to compute numerous properties of (abstract) simplicial complexes, provides functions to construct…

Combinatorics · Mathematics 2019-10-24 Felix Effenberger , Jonathan Spreer

We present a SageMath package for calculating elliptic genera of homogeneous spaces and their complete intersections. This includes the calculation of the basis of weak Jacobi forms, Chern numbers of homogeneous spaces and their complete…

Algebraic Geometry · Mathematics 2023-06-22 Kenta Kobayashi

This paper presents hep-aid, a modular Python library conceived for utilising, implementing, and developing parameter scan algorithms. Originally devised for sample-efficient, multi-objective active search approaches in computationally…

High Energy Physics - Phenomenology · Physics 2024-12-24 Mauricio A. Diaz , Srinandan Dasmahapatra , Stefano Moretti

Simphony is an open-source software package designed for the topological analysis of lattice vibrations based on Wannier tight-binding models. Its primary function is to classify the topology of novel materials by computing bulk and slab…

Materials Science · Physics 2025-07-25 Francesc Ballester , Ion Errea , Maia G. Vergniory

The package \textsf{clayton} is designed to be intuitive, user-friendly, and efficient. It offers a wide range of copula models, including Archimedean, Elliptical, and Extreme. The package is implemented in pure \textsf{Python}, making it…

Computation · Statistics 2023-06-06 Alexis Boulin

We compute multiprecision solutions of the Lane-Emden equation. This differential equation arises when introducing the well-known polytropic model into the equation of hydrostatic equilibrium for a nondistorted star. Since such…

Solar and Stellar Astrophysics · Physics 2016-04-28 Vassilis S. Geroyannis , Vasileios G. Karageorgopoulos

Numerical relativity simulations are crucial for studying black holes and have been instrumental in the detection of gravitational waves by the LVK. However, these simulations produce vast amounts of data that must be processed in order to…

In this paper we study solutions of the critical Lane-Emden equation in higher space dimensions. We show that after certain transformations the general solution can be written in terms of elliptic functions. We restrict ourselves to real…

Mathematical Physics · Physics 2017-05-10 Radoslaw Antoni Kycia , Galina Filipuk

We prove a comparison principle for positive supersolutions and subsolutions to the Lane-Emden equation for the $p-$Laplacian, with subhomogeneous power in the right-hand side. The proof uses variational tools and the result applies with no…

Analysis of PDEs · Mathematics 2022-02-24 Lorenzo Brasco , Francesca Prinari , Anna Chiara Zagati

The Simulation Environment for Atomistic and Molecular Modeling (SEAMM) is an open-source software package written in Python that provides a graphical interface for setting up, executing, and analyzing molecular and materials simulations.…

We present pyBoLaNO, a Python symbolic package based on SymPy to quickly normal-order (Wick-order) any polynomial in bosonic ladder operators. By extension, this package offers the normal ordering of commutators of any two polynomials in…

Quantum Physics · Physics 2025-04-23 Hendry M. Lim , Donny Dwiputra , M. Shoufie Ukhtary , Ahmad R. T. Nugraha

In this article we introduce the supervised machine learning tool called Feyn. The simulation engine that powers this tool is called the QLattice. The QLattice is a supervised machine learning tool inspired by Richard Feynman's path…

Numerical simulations of Einstein's field equations provide unique insights into the physics of compact objects moving at relativistic speeds, and which are driven by strong gravitational interactions. Numerical relativity has played a key…

General Relativity and Quantum Cosmology · Physics 2018-07-09 Daniel Johnson , E. A. Huerta , Roland Haas

AsaPy is a custom-made Python library designed to simplify and optimize the analysis of aerospace simulation data. Instead of introducing new methodologies, it excels in combining various established techniques, creating a unified,…