17 papers · ranked by Valyu relevance
Sumit Banik, Souvik Bera
In this paper, we present HyperPrecision, a Mathematica package for high-precision numerical evaluation of general Horn-type multivariate hypergeometric functions and their Laurent expansions in a small parameter $ε$. Such functions appear widely in physics and mathematics, with applications ranging from quantum field…
Mathieu Giroux, Sebastian Mizera, Giulio Salvatori
We present SubTropica, a Mathematica package that performs symbolic integration of multi-polylogarithmic integrals using recent advances in tropical geometry. It focuses on the class of linearly-reducible Euler integrals, such as Feynman integrals, and expands them using a tropical subtraction scheme. The engine behind…
Harry Desmond
We introduce Exhaustive Symbolic Integration (ESI), a method that enumerates all symbolic functions up to a given complexity $k$ within a specified operator basis and determines which admit closed-form antiderivatives within the same class. This allows us to compute the "integrability fraction" $ρ(k)$ (the fraction of…
Ralf Hemmecke, Peter Paule, Cristian-Silviu Radu
\usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\pi $$\end{document} π Authors: Ralf Hemmecke, Peter Paule, Cristian-Silviu Radu Referring to ideas of Sato and Yang in…
Michael Antonov, Gábor Csárdi, Szabolcs Horvát, Kirill Müller + 7 more
Networks or graphs are widely used across the sciences to represent relationships of many kinds. The igraph ([https://igraph.org]()) software library supports graph construction, analysis, and visualisation, combining fast and robust performance with a low entry barrier. igraph pairs a fast core written in C with…
Vladyslav Shtabovenko
We present new versions of the MATHEMATICA package FEYNCALC and the FEYN-HELPERS add-on that represent an important contribution to the collection of public codes for semi-automatic evaluation of multiloop Feynman diagrams. FEYNHELPERS enables interfacing between FEYNCALC and selected programs routinely used in…
Muhammad Bilal, Yazen M. Alawaideh, Shafqat Ur Rehman, Ioan-Lucian Popa + 2 more
The purpose of this work is to explore precise solutions, particularly soliton solutions, by fractionally analyzing the multicomponent Gross-Pitaevskii problem, a basic nonlinear Schrödinger equation. Soliton solutions are essential for comprehending the complex system dynamics, providing insight into superfluidity…
Marco Polo Castillo-Villalba
The analysis of large gene and metabolic networks is often hindered by unknown biochemical parameters and the nonlinear nature of classical S-system models. To address this, we introduce a framework based on combinatorial toric geometry computed with tools such as Normaliz, SageMath, it is worth mentioning this…
Amir Hossein Salehi Shayegan
In this work, we present a solution to the critical limitation of qubit capacity in near-term quantum hardware by giving a hybrid framework that integrates the spectral element method (SEM) with distributed quantum computing. Using domain decomposition techniques, the additive and multiplicative Schwarz methods, the…
Gideon Baur, Claude Duhr
We introduce IterInt, a novel package implemented in both Mathematica and C++ for the numerical evaluation of iterated integrals involving arbitrary integration kernels. After the user has defined the integration kernels, IterInt transforms the iterated integrals into a system of first-order linear differential…
Amir Hossein Salehi Shayegan
Time-fractional diffusion equations have emerged as powerful models for describing anomalous transport phenomena in physics, biology and engineering. To address the computational challenges arising from their non-local operators, we employ the WEB-spline finite element method, which provides a flexible and accurate…
Authors not listed
A method has been introduced to derive the solution of the time-independent Schrodinger equation for the simple harmonic oscillator. A trial solution has been chosen as the product of the divergent part of the approximate asymptomatic solution of the Schrodinger equation and an unknown function. By inserting this trial…
Chaozhi Zheng, Eligio Bossolini, Nataša Formanová, Antje Rohde + 2 more
Multiparental populations have been produced for quantitative trait loci (QTL) mapping in many crops, where next-generation sequencing has become a cost-effective tool for genotyping. Previously, we have developed a hidden Markov framework denoted by MagicImpute_mma for genotype imputation in a multiparental…
J. E. Davies, T. Kaneko, C. Marinissen, T. Ueda + 1 more
- J. Davies a , T. Kaneko b , C. Marinissen c , T. Ueda d , J.A.M. Vermaseren c - (a) Department of Mathematical Sciences, University of Liverpool, Liverpool, L69 3BX, UK - (b) High Energy Accelerator Research Organization (KEK), 1-1 Oho, Tsukuba, Ibaraki 305-0801, Japan - (c) Nikhef Theory Group, Science Park 105…
Authors not listed
TurtleMol is an open-source Python package that aims to help users generate large, complex molec- ular systems. In the current version, users can generate systems by filling volumes defined by basic geometric shapes (e.g. cube, sphere), or by shapes of arbitrary gemoetries defined meshes created in other software (such…
Aimin Fatima, Muhammad Imran Asjad, Muhammad Naeem Aslam, Muhammad Bilal Riaz
This study investigates the two-dimensional unsteady flow of a Sutterby fluid over a stretching surface under no slip boundary condition with additional effects. The governing fractional model develop with non-local behavior of fluid properties are handled via machine learning approach based on Legendre artificial…
Authors not listed
RNA molecules fold into complex three-dimensional structures that determine their function. A wide range of mathematical frameworks, such as chord diagrams, fatgraphs, and context-free grammars, have been used to represent these structures; however, these models have largely been developed from mathematical motivations…