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We introduce the C++ library Wedge, based on GiNaC, for symbolic computations in differential geometry. We show how Wedge makes it possible to use the language C++ to perform such computations, and illustrate some advantages of this…

微分几何 · 数学 2008-04-22 Diego Conti

Cubature on Wiener space [Lyons, T.; Victoir, N.; Proc. R. Soc. Lond. A 8 January 2004 vol. 460 no. 2041 169-198] provides a powerful alternative to Monte Carlo simulation for the integration of certain functionals on Wiener space. More…

概率论 · 数学 2013-04-18 Christian Bayer , Peter K. Friz

We present Version 8 of the Feynman-diagram calculator FormCalc. New features include in particular significantly improved algebraic simplification as well as vectorization of the generated code. The Cuba Library, used in FormCalc, features…

高能物理 - 唯象学 · 物理学 2015-06-17 B. Chokoufe Nejad , T. Hahn , J. -N. Lang , E. Mirabella

In this work we demonstrate the usage of the VegasFlow library on multidevice situations: multi-GPU in one single node and multi-node in a cluster. VegasFlow is a new software for fast evaluation of highly parallelizable integrals based on…

计算物理 · 物理学 2021-02-23 Juan M. Cruz-Martinez , Stefano Carrazza

We introduce cilantro, an open-source C++ library for geometric and general-purpose point cloud data processing. The library provides functionality that covers low-level point cloud operations, spatial reasoning, various methods for point…

计算机视觉与模式识别 · 计算机科学 2018-11-19 Konstantinos Zampogiannis , Cornelia Fermuller , Yiannis Aloimonos

Existing GPU libraries often struggle to fully exploit the parallel resources and on-chip memory (SRAM) of GPUs when chaining multiple GPU functions as individual kernels. While Kernel Fusion (KF) techniques like Horizontal Fusion (HF) and…

分布式、并行与集群计算 · 计算机科学 2025-09-09 Oscar Amoros , Albert Andaluz , Johnny Nunez , Antonio J. Pena

We have developed a Python package ZMCintegral for multi-dimensional Monte Carlo integration on multiple Graphics Processing Units(GPUs). The package employs a stratified sampling and heuristic tree search algorithm. We have built three…

计算物理 · 物理学 2022-09-19 Hong-Zhong Wu , Jun-Jie Zhang , Long-Gang Pang , Qun Wang

Caffe provides multimedia scientists and practitioners with a clean and modifiable framework for state-of-the-art deep learning algorithms and a collection of reference models. The framework is a BSD-licensed C++ library with Python and…

计算机视觉与模式识别 · 计算机科学 2014-08-22 Yangqing Jia , Evan Shelhamer , Jeff Donahue , Sergey Karayev , Jonathan Long , Ross Girshick , Sergio Guadarrama , Trevor Darrell

This Mathematica 7.0/8.0 package upgrades and extends the quantum computer simulation code called QDENSITY. Use of the density matrix was emphasized in QDENSITY, although that code was also applicable to a quantum state description. In the…

量子物理 · 物理学 2015-05-27 Frank Tabakin , Bruno Julia-Diaz

We present the MultiWave C++-framework for adaptive numerical methods approximating hyperbolic balance laws. MultiWave has been designed as a computational laboratory where new mathematical concepts can be quickly implemented and tested. We…

数值分析 · 数学 2026-04-02 Adrian Kolb , Aleksey Sikstel

The Lax pair representation in Fourier space is used to obtain a list of integrable scalar evolutionary equations with quadratic nonlinearity. The famous systems of this type such as KdV, intermediate long-wave equation (ILW), Camassa-Holm…

可精确求解与可积系统 · 物理学 2009-11-07 V. G. Marikhin

We have developed a new programming framework, called Sieve, to support parallel numerical PDE algorithms operating over distributed meshes. We have also developed a reference implementation of Sieve in C++ as a library of generic…

计算工程、金融与科学 · 计算机科学 2010-09-02 Matthew G. Knepley , Dmitry A. Karpeev

The IDIA Visualisation Laboratory based at the University of Cape Town is exploring the use of virtual reality technology to visualise and analyse astronomical data. The iDaVIE software suite currently under development reads from both…

天体物理仪器与方法 · 物理学 2021-03-29 Alexander K. Sivitilli , Angus Comrie , Lucia Marchetti , Thomas H. Jarrett

The calculation of the volume enclosed by curved surfaces discretized into triangular elements, and a cube is of great importance in different domains, such as computer graphics and multiphase flow simulations. We propose a robust…

We present a new convolution layer for deep learning architectures which we call QuadConv -- an approximation to continuous convolution via quadrature. Our operator is developed explicitly for use on non-uniform, mesh-based data, and…

机器学习 · 计算机科学 2024-07-08 Kevin Doherty , Cooper Simpson , Stephen Becker , Alireza Doostan

In our study we implemented and compared seven sequential and parallel sorting algorithms: bitonic sort, multistep bitonic sort, adaptive bitonic sort, merge sort, quicksort, radix sort and sample sort. Sequential algorithms were…

分布式、并行与集群计算 · 计算机科学 2015-11-13 Darko Bozidar , Tomaz Dobravec

We propose the QHyper library, which is aimed at researchers working on computational experiments with a variety of quantum combinatorial optimization solvers. The library offers a simple and extensible interface for formulating…

数学软件 · 计算机科学 2024-09-25 Tomasz Lamża , Justyna Zawalska , Kacper Jurek , Mariusz Sterzel , Katarzyna Rycerz

We report on the computation of invariants, covariants, and contravariants of cubic surfaces. All algorithms are implemented in the computer algebra system magma.

代数几何 · 数学 2019-09-04 Andreas-Stephan Elsenhans , Jörg Jahnel

We present a new adaptive parallel algorithm for the challenging problem of multi-dimensional numerical integration on massively parallel architectures. Adaptive algorithms have demonstrated the best performance, but efficient many-core…

分布式、并行与集群计算 · 计算机科学 2021-06-24 Ioannis Sakiotis , Kamesh Arumugam , Marc Paterno , Desh Ranjan , Balša Terzić , Mohammad Zubair

Monte Carlo (MC) integration is an important calculational technique in the physical sciences. Practical considerations require that the calculations are performed as accurately as possible for a given set of computational resources. To…

高能物理 - 唯象学 · 物理学 2024-11-08 Prasanth Shyamsundar , Jacob L. Scott , Stephen Mrenna , Konstantin T. Matchev , Kyoungchul Kong