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M-SPARC is a Matlab code for performing ab initio Kohn-Sham Density Functional Theory simulations. Version 2.0.0 of the software further extends its capability to include relativistic effects, dispersion interactions, and advanced…

Materials Science · Physics 2022-12-15 Boqin Zhang , Xin Jing , Shashikant Kumar , Phanish Suryanarayana

We present solidfmm, a highly optimised C++ library for the solid harmonics as they are needed in fast multipole methods. The library provides efficient, vectorised implementations of the translation operations M2M, M2L, and L2L, and is…

Mathematical Software · Computer Science 2022-02-08 Matthias Kirchhart

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

A set of programs is presented for automatically generating and calculating Feynman diagrams. Diagrams are generated with FeynArts, then algebraically simplified using a combination of Mathematica and FORM implemented in the package…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Hahn

The class framework developed for vertex reconstruction in CMS is described. We emphasize how we proceed to develop a flexible, efficient and reliable piece of reconstruction software. We describe the decomposition of the algorithms into…

Data Analysis, Statistics and Probability · Physics 2014-11-18 T. Boccali , R. Fruhwirth , W. Waltenberger , K. Prokofiev , T. Speer , P. Vanlaer

The Functional Machine Calculus (Heijltjes 2022) is a new approach to unifying the imperative and functional programming paradigms. It extends the lambda-calculus, preserving the key features of confluent reduction and typed termination, to…

Programming Languages · Computer Science 2026-03-03 Willem Heijltjes

Quantum computing promises transformative impacts in simulating Hamiltonian dynamics, essential for studying physical systems inaccessible by classical computing. However, existing compilation techniques for Hamiltonian simulation, in…

Last year we released version 2.0 of the Feynman integral reduction program Kira. In this contribution we first report on changes and new features since then and, secondly, on new features for upcoming releases.

High Energy Physics - Phenomenology · Physics 2023-02-23 Fabian Lange , Philipp Maierhöfer , Johann Usovitsch

These notes present some extensions of a formal method introduced in an earlier paper. The formal method is designed as a tool for program verification of numerical computation and forms the basis of the software package VPC. Included in…

Logic in Computer Science · Computer Science 2014-11-21 Garry Pantelis

SUNDIALS is a well-established numerical library that provides robust and efficient time integrators and nonlinear solvers. This paper overviews several significant improvements and new features added over the last three years to support…

Mathematical Software · Computer Science 2026-03-26 Steven B. Roberts , Mustafa Ağgül , Daniel R. Reynolds , Cody J. Balos , David J. Gardner , Carol S. Woodward

We have reformulated the quantum Monte Carlo (QMC) technique so that a large part of the calculation scales linearly with the number of atoms. The reformulation is related to a recent alternative proposal for achieving linear-scaling QMC,…

Other Condensed Matter · Physics 2016-08-31 D. Alfe` , M. J. Gillan

This Ph.D. dissertation contains results in two different but related fields: the implementation of model predictive control (MPC) in embedded systems using first order methods, and restart schemes for accelerated first order methods…

Optimization and Control · Mathematics 2021-09-07 Pablo Krupa

We present Version 2 of system Cplus2ASP, which implements the definite fragment of action language C+. Its input language is fully compatible with the language of the Causal Calculator Version 2, but the new system is significantly faster…

Artificial Intelligence · Computer Science 2026-05-12 Joseph Babb , Joohyung Lee

This tutorial presents features of the new and improved TeXmacs-maxima interface. It is designed for running maxima-5.9.2 from TeXmacs-1.0.5 (or later).

Symbolic Computation · Computer Science 2007-05-23 A. G. Grozin

We introduce a new method to evaluate algebraic integrals over the simplex numerically. This new approach employs techniques from tropical geometry and exceeds the capabilities of existing numerical methods by an order of magnitude. The…

Mathematical Physics · Physics 2023-10-23 Michael Borinsky

We report on the three Mathematica packages hexagon, CSectors, AMBRE. They are useful for the evaluation of one- and two-loop Feynman integrals with a dependence on several kinematical scales. These integrals are typically needed for LHC…

High Energy Physics - Phenomenology · Physics 2014-11-18 Janusz Gluza , Krzysztof Kajda , Tord Riemann , Valery Yundin

According to the modern paradigms of software engineering, standard tasks are best accomplished by reusable open source libraries. We describe OpenOrbitalOptimizer: a reusable open source C++ library for the iterative solution of coupled…

Computational Physics · Physics 2025-06-03 Susi Lehtola , Lori A. Burns

FIRE7 is a major update to the FIRE program for integration-by-parts (IBP) reduction of Feynman integrals. A large part of improvements is related to the automatic reduction and reconstruction with the modular arithmetic approach, while the…

High Energy Physics - Phenomenology · Physics 2025-12-02 Alexander V. Smirnov , Mao Zeng

Despite the advancements in large language models (LLMs) for mathematical reasoning, solving competition-level math problems remains a significant challenge, especially for open-source LLMs without external tools. We introduce the MMIQC…

Computation and Language · Computer Science 2024-12-17 Haoxiong Liu , Yifan Zhang , Yifan Luo , Andrew Chi-Chih Yao

The SCIP Optimization Suite provides a collection of software packages for mathematical optimization, centered around the constraint integer programming (CIP) framework SCIP. This report discusses the enhancements and extensions included in…

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