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Related papers: Evaluating scattering amplitudes with pySecDec 1.6

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A method for the evaluation of the epsilon expansion of multi-loop massless Feynman integrals is introduced. This method is based on the Gegenbauer polynomial technique and the expansion of the Gamma function in terms of harmonic sums.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefan Bekavac

We study a recently-proposed approach to the numerical evaluation of multi-loop Feynman integrals using available sector decomposition programs. As our main example, we consider the two-loop integrals for the $\alpha \alpha_s$ corrections…

High Energy Physics - Phenomenology · Physics 2017-11-08 Andreas von Manteuffel , Robert M. Schabinger

The polysymplectic analysis of the Short Pulse Equation known in nonlinear optics is used in order to construct a geometric polysymplectic integrator for it. The proposed scheme turns out to be much more effective than other standard…

Mathematical Physics · Physics 2015-12-31 Monika E. Pietrzyk , Igor V. Kanatchikov

The Python package pyABC provides a framework for approximate Bayesian computation (ABC), a likelihood-free parameter inference method popular in many research areas. At its core, it implements a sequential Monte-Carlo (SMC) scheme, with…

Quantitative Methods · Quantitative Biology 2022-03-25 Yannik Schälte , Emmanuel Klinger , Emad Alamoudi , Jan Hasenauer

In perturbative calculations, e.g., in the setting of Quantum Chromodynamics (QCD) one aims at the evaluation of Feynman integrals. Here one is often faced with the problem to simplify multiple nested integrals or sums to expressions in…

Symbolic Computation · Computer Science 2018-09-18 Johannes Blümlein , Carsten Schneider

Spectropolarimetry, the observation of polarization and intensity as a function of wavelength, is a powerful tool in stellar astrophysics. It is particularly useful for characterizing stars and circumstellar material, and for tracing the…

SecDec is a program which can be used for the factorisation of poles and subsequent numerical evaluation of multi-loop integrals, in particular massive two-loop integrals. We show applications to two-loop master integrals entering the…

High Energy Physics - Phenomenology · Physics 2013-11-27 Sophia Borowka , Gudrun Heinrich

This work introduces a new software package `Sesame' for the numerical computation of classical semiconductor equations. It supports 1 and 2-dimensional systems and provides tools to easily implement extended defects such as grain…

Applied Physics · Physics 2019-05-01 Benoit Gaury , Yubo Sun , Peter Bermel , Paul M. Haney

Enzymes and proteins are live driven biochemicals, which has a dramatic impact over the environment, in which it is active. So, therefore, it is highly looked-for to build such a robust and highly accurate automatic and computational model…

Biomolecules · Quantitative Biology 2021-01-11 Zaheer Ullah Khan , Dechang Pi , Izhar Ahmed Khan , Asif Nawaz , Jamil Ahmad , Mushtaq Hussain

We present FeynCalc 9.3, a new stable version of a powerful and versatile Mathematica package for symbolic quantum field theory (QFT) calculations. Some interesting new features such as highly improved interoperability with other packages,…

High Energy Physics - Phenomenology · Physics 2020-07-17 Vladyslav Shtabovenko , Rolf Mertig , Frederik Orellana

ESBMC implements many state-of-the-art techniques for model checking. We report on new and improved features that allow us to obtain verification results for previously unsupported programs and properties. ESBMC employs a new static…

The identification of parameters in mathematical models using noisy observations is a common task in uncertainty quantification. We employ the framework of Bayesian inversion: we combine monitoring and observational data with prior…

Computation · Statistics 2018-05-11 Jonas Latz , Iason Papaioannou , Elisabeth Ullmann

The intrusive (sample-free) spectral stochastic finite element method (SSFEM) is a powerful numerical tool for solving stochastic partial differential equations (PDEs). However, it is not widely adopted in academic and industrial…

Numerical Analysis · Mathematics 2022-09-20 Ajit Desai

We describe a new open-source Python-based package for high accuracy correlated electron calculations using quantum Monte Carlo (QMC) in real space: PyQMC. PyQMC implements modern versions of QMC algorithms in an accessible format, enabling…

Shape-constrained nonparametric regression is a growing area in econometrics, statistics, operations research, machine learning and related fields. In the field of productivity and efficiency analysis, recent developments in the…

Computation · Statistics 2021-09-28 Sheng Dai , Yu-Hsueh Fang , Chia-Yen Lee , Timo Kuosmanen

Sector decomposition in its practical aspect is a constructive method used to evaluate Feynman integrals numerically. We present a new program performing the sector decomposition and integrating the expression afterwards. The program can be…

High Energy Physics - Phenomenology · Physics 2011-04-20 M. Tentyukov , A. V. Smirnov

The PySCF package has emerged as a powerful and flexible open-source platform for quantum chemistry simulations. However, the efficiency of electronic structure calculations can vary significantly depending on the choice of computational…

Chemical Physics · Physics 2025-06-10 Zhichen Pu , Qiming Sun

We present PyWolf, an open-source software capable of performing numerical simulations of partially coherent light propagation from two-dimensional light sources. PyWolf computes the evolution of a user-defined cross-spectral density…

Optics · Physics 2022-04-06 Tiago E. C. Magalhães , José M. Rebordão

This document is a contribution to the proceedings of the MathemAmplitudes 2019 conference held in December 2019 in Padova, Italy. A key step in modern high energy physics scattering amplitudes computation is to express the latter in terms…

High Energy Physics - Phenomenology · Physics 2021-02-03 Hjalte Frellesvig , Luca Mattiazzi

PypeIt is a Python package for semi-automated reduction of astronomical, spectroscopic data. Its algorithms build on decades-long development of previous data reduction pipelines by the developers (Bernstein, Burles, & Prochaska, 2015;…

Instrumentation and Methods for Astrophysics · Physics 2020-05-20 J. Xavier Prochaska , Joseph F. Hennawi , Kyle B. Westfall , Ryan J. Cooke , Feige Wang , Tiffany Hsyu , Frederick B. Davies , Emanuele Paolo Farina