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We present an easy to use and flexible grid library for developing highly scalable parallel simulations. The distributed cartesian cell-refinable grid (dccrg) supports adaptive mesh refinement and allows an arbitrary C++ class to be used as…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-01-30 I. Honkonen , S. von Alfthan , A. Sandroos , P. Janhunen , M. Palmroth

Successful HPC software applications are long-lived. When ported across machines and their compilers, these applications often produce different numerical results, many of which are unacceptable. Such variability is also a concern while…

Software Engineering · Computer Science 2019-06-26 Michael Bentley , Ian Briggs , Ganesh Gopalakrishnan , Dong H. Ahn , Ignacio Laguna , Gregory L. Lee , Holger E. Jones

We describe BayesMix, a C++ library for MCMC posterior simulation for general Bayesian mixture models. The goal of BayesMix is to provide a self-contained ecosystem to perform inference for mixture models to computer scientists,…

Computation · Statistics 2022-05-18 Mario Beraha , Bruno Guindani , Matteo Gianella , Alessandra Guglielmi

Creating a highly parallel and flexible discrete element software requires an interdisciplinary approach, where expertise from different disciplines is combined. On the one hand domain specialists provide interaction models between…

Software Engineering · Computer Science 2019-06-27 Sebastian Eibl , Ulrich Rüde

Starting from a high-level problem description in terms of partial differential equations using abstract tensor notation, the Chemora framework discretizes, optimizes, and generates complete high performance codes for a wide range of…

Computational meshes, as a way to partition space, form the basis of much of PDE simulation technology, for instance for the finite element and finite volume discretization methods. In complex simulations, we are often driven to modify an…

Mathematical Software · Computer Science 2025-06-23 Matthew G. Knepley

Despite the rapidly evolving field of computational electromagnetics, few open-source tools have managed to tackle the problem of automatic mesh generation for properly discretizing the problem of interest into a finite set of elements…

Signal Processing · Electrical Eng. & Systems 2022-09-22 Apostolos Spanakis-Misirlis

Decision tree ensembles are widely used and competitive learning models. Despite their success, popular toolkits for learning tree ensembles have limited modeling capabilities. For instance, these toolkits support a limited number of loss…

Machine Learning · Computer Science 2022-05-20 Shibal Ibrahim , Hussein Hazimeh , Rahul Mazumder

Numerical physics has gained a lot of importance in the last decade, its efficiency being motivated and sustained by the growth of computational power. This paper presents a concept that is to be developed in the next few years: OpenPh.…

Digital Libraries · Computer Science 2011-06-28 George Milescu , Gabriel Noaje , Florin Pop

The design, implementation and analysis of a free library for boundary element calculations is presented. The library is free in the sense of the GNU General Public Licence and is intended to allow users to solve a wide range of problems…

Computational Physics · Physics 2009-08-06 Michael Carley

Simulation has become the evaluation method of choice for many areas of distributing computing research. However, most existing simulation packages have several limitations on the size and complexity of the system being modeled. Fine…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-07-01 Dobre Ciprian , Cristea Valentin , Iosif C. Legrand

Many physical problems involve spatial and temporal inhomogeneities that require a very fine discretization in order to be accurately simulated. Using an adaptive mesh, a high level of resolution is used in the appropriate areas while…

Numerical Analysis · Mathematics 2017-09-25 Florence Drui , Alexandru Fikl , Pierre Kestener , Samuel Kokh , Adam Larat , Vincent Le Chenadec , Marc Massot

In the analysis of composite materials with heterogeneous microstructures, full resolution of the heterogeneities using classical numerical approaches can be computationally prohibitive. This paper presents a micromechanics-enhanced finite…

Materials Science · Physics 2011-11-08 J. Novák , Ł. Kaczmarczyk , P. Grassl , J. Zeman , C. J. Pearce

In this work we derive equivalence relations between mimetic finite difference schemes on simplicial grids and modified N\'ed\'elec-Raviart-Thomas finite element methods for model problems in $\mathbf{H}(\operatorname{\mathbf{curl}})$ and…

Numerical Analysis · Mathematics 2015-03-17 Carmen Rodrigo , Francisco Gaspar , Xiaozhe Hu , Ludmil Zikatanov

PyMembrane is a software package for simulating liquid and elastic membranes using a discretisation of the continuum description based on unstructured triangulated two-dimensional meshes embedded in three-dimensional space. The package is…

Soft Condensed Matter · Physics 2023-08-25 D. A. Matoz-Fernandez , Siyu Li , Monica Olvera de la Cruz , Rastko Sknepnek

Harnessing modern parallel computing resources to achieve complex multi-physics simulations is a daunting task. The Multiphysics Object Oriented Simulation Environment (MOOSE) aims to enable such development by providing simplified…

This paper introduces PolyDiM, an open-source C++ library tailored for the development and implementation of polytopal discretization methods for partial differential equations. The library provides robust and modular tools to support…

Numerical Analysis · Mathematics 2025-05-21 Stefano Berrone , Andrea Borio , Gioana Teora , Fabio Vicini

The process of design and development of virtual environments can be supported by tools and frameworks, to save time in technical aspects and focusing on the content. In this paper we present an academic framework which provides several…

Graphics · Computer Science 2013-06-06 Salvatore Catanese , Emilio Ferrara , Giacomo Fiumara , Francesco Pagano

We overview the ensmallen numerical optimization library, which provides a flexible C++ framework for mathematical optimization of user-supplied objective functions. Many types of objective functions are supported, including general,…

Mathematical Software · Computer Science 2024-02-12 Ryan R. Curtin , Marcus Edel , Rahul Ganesh Prabhu , Suryoday Basak , Zhihao Lou , Conrad Sanderson

As the computational requirements for machine learning systems and the size and complexity of machine learning frameworks increases, essential framework innovation has become challenging. While computational needs have driven recent…

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