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This article presents a comparison of various implementations of the Lattice Discrete Particle Model (LDPM) for the numerical simulation of concrete and other heterogeneous quasibrittle materials. The comparison involves the use of…

Latent variable models represent a useful tool for the analysis of complex data when the constructs of interest are not observable. A problem related to these models is that the integrals involved in the likelihood function cannot be solved…

Methodology · Statistics 2015-03-05 Silvia Bianconcini , Silvia Cagnone , Dimitris Rizopoulos

C++ leans towards a memory-inefficient storage of structs: The compiler inserts padding bits, while it is not able to exploit knowledge about the range of integers, enums or bitsets. Furthermore, the language provides no support for…

Mathematical Software · Computer Science 2025-12-23 Pawel K. Radtke , Cristian G. Barrera-Hinojosa , Mladen Ivkovic , Tobias Weinzierl

This paper introduces a general model called CIPNN - Continuous Indeterminate Probability Neural Network, and this model is based on IPNN, which is used for discrete latent random variables. Currently, posterior of continuous latent…

Machine Learning · Computer Science 2023-03-24 Tao Yang

We present a new Monte Carlo tool that computes full tree-level matrix elements in high-energy physics. The program accepts user-defined models and has no restrictions on the process multiplicity. To achieve acceptable performance, CAMORRA…

High Energy Physics - Phenomenology · Physics 2010-11-23 Ronald Kleiss , Gijs van den Oord

We propose a numerical method to spline-interpolate discrete signals and then apply the integral transforms to the corresponding analytical spline functions. This represents a robust and computationally efficient technique for estimating…

Numerical Analysis · Mathematics 2023-04-27 Yupeng Zhang , Yueyang Shen , Rongqian Zhang , Yuyao Liu , Yunjie Guo , Daxuan Deng , Ivo D. Dinov

We present MGPU, a C++ programming library targeted at single-node multi-GPU systems. Such systems combine disproportionate floating point performance with high data locality and are thus well suited to implement real-time algorithms. We…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-03 Sebastian Schaetz , Martin Uecker

We have developed a fully parallel C++/MPI based simulation code for variable-density particle-laden turbulent flows. The fluid is represented through a uniform Eulerian staggered grid, while particles are modeled using a Lagrangian…

Computational Physics · Physics 2016-01-22 Hadi Pouransari , Milad Mortazavi , Ali Mani

Continuous time (CT) and discrete time (DT) linear time invariant (LTI) systems are commonly introduced through distinct mathematical formalisms, which can obscure their underlying dynamical equivalence. This tutorial presents a unified…

Signal Processing · Electrical Eng. & Systems 2026-02-17 Luca Giangrande

The correlation discrete variable representation (CDVR) enables efficient quantum dynamics calculation with the multi-layer multi-configurational time-dependent Hartree (MCTDH) approach on general potential energy surfaces. It employs a…

Chemical Physics · Physics 2026-05-07 Uwe Manthe

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

We present a generic C++ design to perform efficient and exact geometric computations using lazy evaluations. Exact geometric computations are critical for the robustness of geometric algorithms. Their efficiency is also critical for most…

Computational Geometry · Computer Science 2007-05-23 Sylvain Pion , Andreas Fabri

Signals can be interpreted as composed of a rapidly varying component modulated by a slower varying envelope. Identifying this envelope is an essential operation in signal processing, with applications in areas ranging from seismology to…

Sound · Computer Science 2021-10-25 Carlos Tarjano , Valdecy Pereira

ClassdescMP is a distributed memory parallel programming system for use with C++ and MPI. It uses the Classdesc reflection system to ease the task of building complicated messages to be sent between processes. It doesn't hide the underlying…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Russell K. Standish , Duraid Madina

Discrete Green's functions are the inverses or pseudo-inverses of combinatorial Laplacians. We present compact formulas for discrete Green's functions, in terms of the eigensystems of corresponding Laplacians, for products of regular graphs…

Combinatorics · Mathematics 2007-05-23 Robert B. Ellis

The Locust simulation package is a new C++ software tool developed to simulate the measurement of time-varying electromagnetic fields using RF detection techniques. Modularity and flexibility allow for arbitrary input signals, while…

Dimensionality reduction (DR) algorithms compress high-dimensional data into a lower dimensional representation while preserving important features of the data. DR is a critical step in many analysis pipelines as it enables visualisation,…

Machine Learning · Statistics 2023-05-26 Aditya Ravuri , Francisco Vargas , Vidhi Lalchand , Neil D. Lawrence

In this paper, we present an efficient, functional, and formally verified parsing algorithm for LL(1) context-free expressions based on the concept of derivatives of formal languages. Parsing with derivatives is an elegant parsing…

Formal Languages and Automata Theory · Computer Science 2021-01-22 Romain Edelmann , Jad Hamza , Viktor Kunčak

We present the main improvements and new features in version $\texttt{2.0}$ of the open-source $\texttt{C++}$ library $\texttt{FireFly}$ for the interpolation of rational functions. This includes algorithmic improvements, e.g. a hybrid…

Mathematical Software · Computer Science 2021-05-05 Jonas Klappert , Sven Yannick Klein , Fabian Lange

We introduce two novel interpolatory dynamical low-rank (DLR) approximation methods for the efficient time integration of the Boltzmann-BGK equation. Both methods overcome limitations of classic DLR schemes based on orthogonal projections…

Numerical Analysis · Mathematics 2025-08-21 Alec Dektor , Lukas Einkemmer
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