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Effective relaxation methods are necessary for good multigrid convergence. For many equations, standard Jacobi and Gau{\ss}-Seidel are inadequate, and more sophisticated space decompositions are required; examples include problems with…

Mathematical Software · Computer Science 2021-07-06 Patrick E. Farrell , Matthew G. Knepley , Lawrence Mitchell , Florian Wechsung

The Monte Carlo method is the most popular technique to perform radiative transfer simulations in a general 3D geometry. The algorithms behind and acceleration techniques for Monte Carlo radiative transfer are discussed extensively in the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-29 Maarten Baes , Peter Camps

A Bayesian coreset is a small, weighted subset of data that replaces the full dataset during inference in order to reduce computational cost. However, state of the art methods for tuning coreset weights are expensive, require nontrivial…

Computation · Statistics 2024-03-12 Naitong Chen , Trevor Campbell

Significance: Monte Carlo (MC) methods are the gold-standard for modeling light-tissue interactions due to their accuracy. Mesh-based MC (MMC) offers enhanced precision for complex tissue structures using tetrahedral mesh models. Despite…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-01 Shijie Yan , Douglas Dwyer , David R. Kaeli , Qianqian Fang

We present the derivation, implementation, and analysis of a multiresolution adaptive grid framework for numerical simulations on octree-based 3D block-structured collocated grids with distributed computational architectures. Our approach…

Numerical Analysis · Mathematics 2025-04-01 Thomas Gillis , Wim M. van Rees

This paper presents an analysis procedure for experimental data using theoretical functions generated by Monte Carlo. Applying the classical chi-square fitting procedure for some multiparameter systems is extremely difficult due to a lack…

Nuclear Experiment · Physics 2010-12-16 M. Filipowicz , V. M. Bystritsky , P. E. Knowles , F. Mulhauser , J. Wozniak

In recent years, microgrids, i.e., disconnected distribution systems, have received increasing interest from power system utilities to support the economic and resiliency posture of their systems. The economics of long distance transmission…

Optimization and Control · Mathematics 2019-07-22 Sai Krishna Kanth Hari , Kaarthik Sundar , Harsha Nagarajan , Russell Bent , Scott Backhaus

Algebraic Multigrid (AMG) methods are state-of-the-art algebraic solvers for partial differential equations. Still, their efficiency depends heavily on the choice of suitable parameters and/or ingredients. Paradigmatic examples include the…

Numerical Analysis · Mathematics 2026-01-01 Paola F. Antonietti , Matteo Caldana , Lorenzo Gentile , Marco Verani

Generating artificial data is a crucial step when performing Monte-Carlo simulation studies. Depending on the planned study, complex data generation processes (DGP) containing multiple, possibly time-varying, variables with various forms of…

Methodology · Statistics 2025-06-03 Robin Denz , Nina Timmesfeld

Coarse grid projection (CGP) is a multiresolution technique for accelerating numerical calculations associated with a set of nonlinear evolutionary equations along with the stiff Poisson equations. In this article we use CGP for the first…

Computational Physics · Physics 2020-03-03 Ali Kashefi

Many subsurface engineering applications involve tight-coupling between fluid flow, solid deformation, fracturing, and similar processes. To better understand the complex interplay of different governing equations, and therefore design…

Model Predictive Control (MPC) is a powerful technique to control nonlinear, multi-input multi-output systems subject to input and state constraints. It is now a standard tool for trajectory tracking control of automated vehicles. As such…

Systems and Control · Electrical Eng. & Systems 2025-08-20 Georg Schildbach , Jasper Pflughaupt

Clusters, grids, and peer-to-peer (P2P) networks have emerged as popular paradigms for next generation parallel and distributed computing. The management of resources and scheduling of applications in such large-scale distributed systems is…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Rajkumar Buyya , Manzur Murshed

We present the {\tt KKMCee 5.00.2} Monte Carlo event generator for lepton and quark pair production for the high energy electron-positron annihilation process. It is still the most sophisticated event generator for such processes. Its…

High Energy Physics - Phenomenology · Physics 2023-02-03 S. Jadach , B. F. L. Ward , Z. Was , S. A. Yost , A. Siodmok

This paper presents an overview of Monte Carlo(MC) event generators for simulation of proton-proton collisions along with the results on hadron production at Nuclotron-based Ion Collider fAcility (NICA) energies. Namely, mean…

High Energy Physics - Phenomenology · Physics 2023-10-31 Maxim Azarkin , Martin Kirakosyan

Modeling of high-dimensional data is very important to categorize different classes. We develop a new mixture model called Multinomial cluster-weighted model (MCWM). We derive the identifiability of a general class of MCWM. We estimate the…

Methodology · Statistics 2022-08-25 Kehinde Olobatuyi , Oludare Ariyo

We present a novel saturation and leading order collinear factorization based Monte-Carlo implementation of the EKRT model for computing QCD matter initial states in high-energy nuclear collisions. As new features the MC implementation…

High Energy Physics - Phenomenology · Physics 2025-10-31 Harri Niemi , Jussi Auvinen , Kari J. Eskola , Henry Hirvonen , Yuuka Kanakubo , Mikko Kuha

Grid-control is a lightweight and highly portable open source submission tool that supports virtually all workflows in high energy physics (HEP). Since 2007 it has been used by a sizeable number of HEP analyses to process tasks that…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-12-06 F. Stober , M. Fischer , P. Schleper , H. Stadie , C. Garbers , J. Lange , N. Kovalchuk

We present multiplexed gradient descent (MGD), a gradient descent framework designed to easily train analog or digital neural networks in hardware. MGD utilizes zero-order optimization techniques for online training of hardware neural…

Machine Learning · Computer Science 2023-08-17 Adam N. McCaughan , Bakhrom G. Oripov , Natesh Ganesh , Sae Woo Nam , Andrew Dienstfrey , Sonia M. Buckley

We introduce a novel Unsmoothed Aggregation (UA) Algebraic Multigrid (AMG) method combined with Preconditioned Conjugate Gradient (PCG) to overcome the limitations of Extended Position-Based Dynamics (XPBD) in high-resolution and…

Graphics · Computer Science 2025-05-20 Chunlei Li , Peng Yu , Tiantian Liu , Siyuan Yu , Yuting Xiao , Shuai Li , Aimin Hao , Yang Gao , Qinping Zhao