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Current Python programming environment does not have any reliable and efficient multiple precision floating-point (MPF) arithmetic except ``mpmath" and ``gmpy2" packages based on GNU MP(GMP) and MPFR libraries. Although it is well known…

Mathematical Software · Computer Science 2021-07-28 Tomonori Kouya

Version 3.0 of the Message-Passing Interface (MPI) standard, released in 2012, introduced a new set of language bindings for Fortran 2008. By making use of modern language features and the enhanced interoperability with C, there was finally…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-18 Gregor Corbin

We describe a new implementation of the elementary transcendental functions exp, sin, cos, log and atan for variable precision up to approximately 4096 bits. Compared to the MPFR library, we achieve a maximum speedup ranging from a factor 3…

Mathematical Software · Computer Science 2015-06-10 Fredrik Johansson

We present MaRTIn, an extendable all-in-one package for calculating amplitudes up to two loops in an expansion in external momenta or using the method of infrared rearrangement. Renormalizable and non-renormalizable models can be supplied…

High Energy Physics - Phenomenology · Physics 2024-01-09 Joachim Brod , Lorenz Hüdepohl , Emmanuel Stamou , Tom Steudtner

Approximate message passing (AMP) is an algorithmic framework for solving linear inverse problems from noisy measurements, with exciting applications such as reconstructing images, audio, hyper spectral images, and various other signals,…

Information Theory · Computer Science 2017-02-13 Junan Zhu , Ryan Pilgrim , Dror Baron

In basic computational physics classes, students often raise the question of how to compute a number that exceeds the numerical limit of the machine. While technique of avoiding overflow/underflow has practical application in the electrical…

Computational Physics · Physics 2015-03-17 Chih-Yueh Wang , Chen-Yang Yin , Hong-Yu Chen , Yung-Ko Chen

In the early days of computing, severe memory constraints made it necessary to use lower floating-point precision. As hardware capabilities have advanced, modern systems, particularly in computational statistics and scientific computing,…

Computation · Statistics 2026-03-03 Mary Lai O. Salvana , Sameh Abdulah , Minwoo Kim , David Helmy , Ying Sun , Marc G. Genton

GMP-Featurizer is a lightweight, accurate, efficient, and scalable software package for calculating the Gaussian Multipole (GMP) features \cite{GMP} for a variety of atomic systems with elements across the periodic table. Starting from the…

Chemical Physics · Physics 2023-03-24 Xiangyun Lei , Joseph Montoya

We describe some "unrestricted" algorithms which are useful for the computation of elementary and special functions when the precision required is not known in advance. Several general classes of algorithms are identified and illustrated by…

Numerical Analysis · Mathematics 2010-04-22 Richard P. Brent

The MPLAPACK (formerly MPACK) is a multiple-precision version of LAPACK (https://www.netlib.org/lapack/). MPLAPACK version 2.0.1 is based on LAPACK version 3.9.1 and translated from Fortran 90 to C++ using FABLE, a Fortran to C++…

Mathematical Software · Computer Science 2022-09-13 Maho Nakata

MP net is a formal model specifically designed for the field of parallel applications that use a message passing interface. The main idea is to use MP net as a comprehensible way of presenting the actual structure of communication within…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-01 Martin Šurkovský

Additive Runge-Kutta methods designed for preserving highly accurate solutions in mixed-precision computation were proposed and analyzed in [8]. These specially designed methods use reduced precision or the implicit computations and full…

Numerical Analysis · Mathematics 2021-07-08 Ben Burnett , Sigal Gottlieb , Zachary J. Grant , Alfa Heryudono

MDMP is a new parallel programming approach that aims to provide users with an easy way to add parallelism to programs, optimise the message passing costs of traditional scientific simulation algorithms, and enable existing MPI-based…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-04-30 Adrian Jackson , Par Strand

The Maximum Mean Discrepancy (MMD) is a kernel-based metric widely used for nonparametric tests and estimation. Recently, it has also been studied as an objective function for parametric estimation, as it has been shown to yield robust…

Computation · Statistics 2025-04-25 Pierre Alquier , Mathieu Gerber

We present Open Multi-Processing (OpenMP) version of Fortran 90 programs for solving the Gross-Pitaevskii (GP) equation for a Bose-Einstein condensate in one, two, and three spatial dimensions, optimized for use with GNU and Intel…

The typical processors used for scientific computing have fixed-width data-paths. This implies that mathematical libraries were specifically developed to target each of these fixed precisions (binary16, binary32, binary64). However, to…

Mathematical Software · Computer Science 2020-05-07 David Defour , Pablo de Oliveira Castro , Matei Istoan , Eric Petit

The Message Passing Interface (MPI) is the de facto standard message-passing infrastructure for developing parallel applications. Two decades after the first version of the library specification, MPI-based applications are nowadays…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-11 Eduardo R. B. Marques , Francisco Martins , Vasco T. Vasconcelos , Nicholas Ng , Nuno Martins

Fine-tuning pre-trained language models (PLMs), e.g., SciBERT, generally requires large numbers of annotated data to achieve state-of-the-art performance on a range of NLP tasks in the scientific domain. However, obtaining the fine-tune…

Computation and Language · Computer Science 2025-12-30 Jiawei Liu , Zi Xiong , Yi Jiang , Yongqiang Ma , Wei Lu , Yong Huang , Qikai Cheng

The Active Matter Evaluation Package (AMEP) is a Python library for analyzing simulation data of particle-based and continuum simulations. It provides a powerful and simple interface for handling large data sets and for calculating and…

The scalability and interpretability of message-passing (MP) decoding, such as (quaternary) Belief Propagation, remain open challenges in quantum error correction. Even for surface codes, arguably the first testbed for decoding methods,…

Quantum Physics · Physics 2026-05-26 Boqing Zhang , Henry D. Pfister , Hanwen Yao , Siyuan Niu
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