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In this work, we introduce DeepFlame, an open-source C++ platform with the capabilities of utilising machine learning algorithms and pre-trained models to solve for reactive flows. We combine the individual strengths of the computational…

Fluid Dynamics · Physics 2023-07-17 Runze Mao , Minqi Lin , Yan Zhang , Tianhan Zhang , Zhi-Qin John Xu , Zhi X. Chen

Quantum++ is a modern general-purpose multi-threaded quantum computing library written in C++11 and composed solely of header files. The library is not restricted to qubit systems or specific quantum information processing tasks, being…

Quantum Physics · Physics 2018-12-12 Vlad Gheorghiu

We present version 3 of Kira, a Feynman integral reduction program for high-precision calculations in quantum field theory and gravitational-wave physics. Building on previous versions, Kira 3 introduces optimized seeding and equation…

High Energy Physics - Phenomenology · Physics 2025-05-27 Fabian Lange , Johann Usovitsch , Zihao Wu

We present libami, a lightweight implementation of algorithmic Matsubara integration (AMI) written in C++. AMI is a tool for analytically resolving the sequence of nested Matsubara integrals that arise in virtually all Feynman perturbative…

Strongly Correlated Electrons · Physics 2022-08-17 Hossam Elazab , B. D. E. McNiven , J. P. F. LeBlanc

We present a historiographical review of algorithms and computer codes developed for solving integration-by-parts relations for Feynman integrals. This procedure is one of the key steps in the evaluation of Feynman integrals, since it…

High Energy Physics - Theory · Physics 2025-11-13 Alexander Smirnov , Vladimir Smirnov

In atomistic simulations, pseudo-dynamics relaxation schemes often exhibit better performance and accuracy in finding local minima than line-search-based descent algorithms like steepest descent or conjugate gradient. Here, an improved…

We present the Feynman integral reduction program Kira 1.2 and describe its new features and other changes w.r.t. the previous versions. The main new features include a much faster equation generator, more flexible seed specification…

High Energy Physics - Phenomenology · Physics 2018-12-05 Philipp Maierhöfer , Johann Usovitsch

We report on some recent developments in algebraic tensor reduction of one-loop Feynman integrals. For 5-point functions, an efficient tensor reduction was worked out recently and is now available as numerical C++ package, PJFry, covering…

High Energy Physics - Phenomenology · Physics 2012-02-06 Jochem Fleischer , Tord Riemann , Valery Yundin

A C++ implementation of the Kt jet algorithm for high energy particle collisions is presented. The time performance of this implementation is comparable to the widely used Fortran implementation. Identical algorithmic functionality is…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. M. Butterworth , J. P. Couchman , B. E. Cox , B. M. Waugh

We present the library Moore, which implements Interval Arithmetic in modern C++. This library is based on a new feature in the C++ language called concepts, which reduces the problems caused by template meta programming, and leads to a new…

Mathematical Software · Computer Science 2016-11-30 Walter F. Mascarenhas

We show how a large class of Feynman integrals can be efficiently reduced to master integrals by suitable covariant differentiation on the vector space dual to the one spanned by the master integrals. The connections needed in the covariant…

High Energy Physics - Phenomenology · Physics 2026-04-14 Gero von Gersdorff , Vinicius Lessa

The MFEM (Modular Finite Element Methods) library is a high-performance C++ library for finite element discretizations. MFEM supports numerous types of finite element methods and is the discretization engine powering many computational…

FeynMaster is a multi-tasking software for particle physics studies. By making use of already existing programs (FeynRules, QGRAF, FeynCalc), FeynMaster automatically generates Feynman rules, generates and draws Feynman diagrams, generates…

High Energy Physics - Phenomenology · Physics 2020-04-17 Duarte Fontes , Jorge C. Romão

Rational-function simplification is key bottlenecks in integration-by-parts (IBP) reduction of Feynman integrals. We study denominator factorization patterns appearing in IBP coefficients and develop practical algorithms for extracting and…

High Energy Physics - Phenomenology · Physics 2026-05-14 Alexander V. Smirnov , Vladislav. A. Fokin , Egor Yu. Chuvashov

This paper presents a new major release of the program FIESTA (Feynman Integral Evaluation by a Sector decomposiTion Approach). The new release is mainly aimed at optimal performance at large scales when one is increasing the number of…

High Energy Physics - Phenomenology · Physics 2021-02-23 Alexander V. Smirnov

Many physical, biological or chemical systems are modeled by ordinary differential equations (ODEs) and finding their solution is an every-day-task for many scientists. Here, we introduce a new C++ library dedicated to find numerical…

Mathematical Software · Computer Science 2011-10-18 Karsten Ahnert , Mario Mulansky

Modular integer arithmetic occurs in many algorithms for computer algebra, cryptography, and error correcting codes. Although recent microprocessors typically offer a wide range of highly optimized arithmetic functions, modular integer…

Mathematical Software · Computer Science 2014-07-15 Joris van der Hoeven , Grégoire Lecerf , Guillaume Quintin

This paper describes a modular framework for the description of electroweak scattering and decay processes, including but not limited to Z-resonance physics. The framework consistently combines a complex-pole expansion near a s-channel…

High Energy Physics - Phenomenology · Physics 2023-10-12 Lisong Chen , Ayres Freitas

We present FORM 5, a major release of the symbolic-manipulation system FORM. Version 5 introduces an integrated diagram generator, based on the GRACE graph-generator, to produce Feynman diagrams directly from FORM scripts. This release also…

High Energy Physics - Phenomenology · Physics 2026-01-29 J. Davies , T. Kaneko , C. Marinissen , T. Ueda , J. A. M. Vermaseren

We present a novel approach to optimizing the reduction of Feynman integrals using integration-by-parts identities. By developing a priority function through the FunSearch algorithm, which combines large language models and genetic…

High Energy Physics - Phenomenology · Physics 2025-02-14 Zhuo-Yang Song , Tong-Zhi Yang , Qing-Hong Cao , Ming-xing Luo , Hua Xing Zhu