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We introduce a novel computational framework for the multiscale simulation of higher-order continua that allows for the consideration of first-, second- and third- order effects at both micro- and macro-level. In line with classical…

Computational Engineering, Finance, and Science · Computer Science 2022-03-08 Felix Schmidt , Melanie Krüger , Marc-Andre Keip , Christian Hesch

We report on a package of routines for the computer algebra system Maple which supports the explicit determination of the geometric quantities, field equations, equations of motion, and conserved quantities of General Relativity in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dirk Puetzfeld

In recent years there have been tremendous advances in the theoretical understanding of boundary integral equations for Maxwell problems. In particular, stable dual pairing of discretisation spaces have been developed that allow robust…

Numerical Analysis · Mathematics 2020-05-14 Matthew Scroggs , Timo Betcke , Erik Burman , Wojciech Śmigaj , Elwin van 't Wout

Model merging aims to cheaply combine individual task-specific models into a single multitask model. In this work, we view past merging methods as leveraging different notions of a ''task parameter subspace'' in which models are matched…

Machine Learning · Computer Science 2024-04-16 Derek Tam , Mohit Bansal , Colin Raffel

A general-purpose C++ software program called $\mathbb{CGPOPS}$ is described for solving multiple-phase optimal control problems using adaptive Gaussian quadrature collocation. The software employs a Legendre-Gauss-Radau direct orthogonal…

Optimization and Control · Mathematics 2019-05-30 Yunus M. Agamawi , Anil V. Rao

Representing scientific data sets efficiently on external storage usually involves converting them to a byte string representation using specialized reader/writer routines. The resulting storage files are frequently difficult to interpret…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Christoph Best

We introduce GEA (Geophysical and Environmental Applications), a new open-source atmosphere and ocean modeling framework within the finite volume C++ library OpenFOAM. Here, we present the development of a non-hydrostatic atmospheric model…

Fluid Dynamics · Physics 2023-03-21 Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

deepTerra is a comprehensive platform designed to facilitate the classification of land surface features using machine learning and satellite imagery. The platform includes modules for data collection, image augmentation, training, testing,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-15 Andrew Keith Wilkinson

We introduce FlexibleSUSY, a Mathematica and C++ package, which generates a fast, precise C++ spectrum generator for any SUSY model specified by the user. The generated code is designed with both speed and modularity in mind, making it easy…

High Energy Physics - Phenomenology · Physics 2015-03-19 Peter Athron , Jae-hyeon Park , Dominik Stöckinger , Alexander Voigt

We propose MCGrad, a novel and scalable multicalibration algorithm. Multicalibration - calibration in subgroups of the data - is an important property for the performance of machine learning-based systems. Existing multicalibration methods…

A general purpose, modular program package for the integration of large number of independent ordinary differential equation systems capable of using professional graphics cards is presented. The available numerical schemes are the explicit…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-10 Ferenc Hegedűs

The Virtual Element Method (VEM) is an extension of the Finite Element Method (FEM) used for handling polytopal meshes. This paper provides a brief introduction to the VEM for a two-dimensional Laplacian problem. Additionally, it highlights…

Numerical Analysis · Mathematics 2023-10-10 F. Dassi

This report provides an (updated) overview of {\sl Grafalgo}, an open-source library of graph algorithms and the data structures used to implement them. The programs in this library were originally written to support a graduate class in…

Data Structures and Algorithms · Computer Science 2016-01-08 Jonathan Turner

Draco introduced a constraint-based framework to model visualization design in an extensible and testable form. It provides a way to abstract design guidelines from theoretical and empirical studies and applies the knowledge in automated…

Human-Computer Interaction · Computer Science 2023-08-29 Junran Yang , Péter Ferenc Gyarmati , Zehua Zeng , Dominik Moritz

This is a system paper about a new GPLv2 open source C library GBLA implementing and improving the idea of Faug\`ere and Lachartre (GB reduction). We further exploit underlying structures in matrices generated during Gr\"obner basis…

Symbolic Computation · Computer Science 2016-02-22 Brice Boyer , Christian Eder , Jean-Charles Faugère , Sylvian Lachartre , Fayssal Martani

A C++ software design is presented that can be used to interpolate data in any number of dimensions. The design is based on a combination of templates of functional collections of elements and so-called type lists. The design allows for…

Mathematical Software · Computer Science 2019-07-08 Maarten de Jong

Static structure models, which map mass-radius constraints to bulk planet composition, are frequently used to categorise exoplanets due to their computational efficiency and the high-level insight they offer into planetary properties.…

Earth and Planetary Astrophysics · Physics 2026-04-20 Harrison Nicholls , Oliver Shorttle , Tim Lichtenberg , Flavia Pascal

Language-orientated programming promises to elevate programmer productivity through increased abstrac- tion capabilities. Structural programming environments provide apparatus to reduce the difficulties with syntax. The language workbench,…

Programming Languages · Computer Science 2014-03-18 Gavin Wood

Context. The Galactic magnetic field (GMF) has a huge impact on the evolution of the Milky Way. Yet currently there exists no standard model for it, as its structure is not fully understood. In the past many parametric GMF models of varying…

We introduce the Control Toolbox (CT), an open-source C++ library for efficient modeling, control, estimation, trajectory optimization and Model Predictive Control. The CT is applicable to a broad class of dynamic systems but features…

Robotics · Computer Science 2018-07-04 Markus Giftthaler , Michael Neunert , Markus Stäuble , Jonas Buchli