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The forest-of-refinement-trees approach allows for dynamic adaptive mesh refinement (AMR) at negligible cost. While originally developed for quadrilateral and hexahedral elements, previous work established the theory and algorithms for…

分布式、并行与集群计算 · 计算机科学 2026-05-25 David Knapp , Johannes Albrecht Holke , Thomas Spenke , Carsten Burstedde , Lukas Dreyer

We propose a GPU accelerated proximal message passing algorithm for solving contingency-constrained DC optimal power flow problems (OPF). We consider a highly general formulation of OPF that uses a sparse device-node model and supports a…

最优化与控制 · 数学 2024-10-23 Anthony Degleris , Abbas El Gamal , Ram Rajagopal

The simulation of heat flow through heterogeneous material is important for the design of structural and electronic components. Classical analytical solutions to the heat equation PDE are not known for many such domains, even those having…

数值分析 · 数学 2019-05-21 Andrew Loeb , Christopher Earls

Branch-and-Bound (B&B) algorithms are time intensive tree-based exploration methods for solving to optimality combinatorial optimization problems. In this paper, we investigate the use of GPU computing as a major complementary way to speed…

分布式、并行与集群计算 · 计算机科学 2012-08-21 Melab Nouredine , Imen Chakroun , Mezmaz Mohand , Daniel Tuyttens

We consider adaptive finite element methods for second-order elliptic PDEs, where the arising discrete systems are not solved exactly. For contractive iterative solvers, we formulate an adaptive algorithm which monitors and steers the…

数值分析 · 数学 2021-07-14 Gregor Gantner , Alexander Haberl , Dirk Praetorius , Stefan Schimanko

We present a set of rules to guide the design of GPU algorithms. These rules are grounded on the principle of reducing waste in GPU utility to achieve good speed up. In accordance to these rules, we propose GPU algorithms for 2D…

图形学 · 计算机科学 2020-07-02 Zhenghai Chen , Tiow-Seng Tan , Hong-Yang Ong

This work presents, to the best of the authors' knowledge, the first generalizable and fully data-driven adaptive framework designed to stabilize deep learning (DL) autoregressive forecasting models over long time horizons, with the goal of…

流体动力学 · 物理学 2025-05-06 Rodrigo Abadía-Heredia , Manuel Lopez-Martin , Soledad Le Clainche

The initial data for black hole collisions is constructed using a conformal-imaging approach and a new adaptive mesh refinement technique, a fully threaded tree (FTT). We developed a second-order accurate approach to the solution of the…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Peter Diener , Nina Jansen , Alexei Khokhlov , Igor Novikov

To find deterministic solutions to the transient $S_N$ neutron transport equation, iterative schemes are typically used to treat the scattering (and fission) source terms. We explore the one-cell inversion iteration scheme to do this on the…

计算物理 · 物理学 2023-08-10 J. P. Morgan , Ilham Variansyah , Todd S. Palmer , Kyle E. Niemeyer

Image feature point matching is a key step in Structure from Motion(SFM). However, it is becoming more and more time consuming because the number of images is getting larger and larger. In this paper, we proposed a GPU accelerated image…

计算机视觉与模式识别 · 计算机科学 2018-05-24 Tao Xu , Kun Sun , Wenbing Tao

We revisit the generation of balanced octrees for adaptive mesh refinement (AMR) of Cartesian domains with immersed complex geometries. In a recent short note [Hasbestan and Senocak, J. Comput. Phys. vol. 351:473-477 (2017)], we showed that…

计算工程、金融与科学 · 计算机科学 2018-05-23 Jaber J. Hasbestan , Inanc Senocak

We present a new framework for the fast solution of inhomogeneous elliptic boundary value problems in domains with smooth boundaries. High-order solvers based on adaptive box codes or the fast Fourier transform can efficiently treat the…

数值分析 · 数学 2025-01-31 Daniel Fortunato , David B. Stein , Alex H. Barnett

While the advances in synchrotron light sources, together with the development of focusing optics and detectors, allow nanoscale ptychographic imaging of materials and biological specimens, the corresponding experiments can yield…

分布式、并行与集群计算 · 计算机科学 2022-04-05 Xiaodong Yu , Viktor Nikitin , Daniel J. Ching , Selin Aslan , Doga Gursoy , Tekin Bicer

The edge computing paradigm has emerged to handle cloud computing issues such as scalability, security and low response time among others. This new computing trend heavily relies on ubiquitous embedded systems on the edge. Performance and…

分布式、并行与集群计算 · 计算机科学 2019-01-28 Mohammad Hosseinabady , Mohd Amiruddin Bin Zainol , Jose Nunez-Yanez

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

Despite the potential of neural scene representations to effectively compress 3D scalar fields at high reconstruction quality, the computational complexity of the training and data reconstruction step using scene representation networks…

图形学 · 计算机科学 2022-07-26 Sebastian Weiss , Philipp Hermüller , Rüdiger Westermann

k-nearest neighbor graph is a key data structure in many disciplines such as manifold learning, machine learning and information retrieval, etc. NN-Descent was proposed as an effective solution for the graph construction problem. However,…

分布式、并行与集群计算 · 计算机科学 2021-03-30 Hui Wang , Wan-Lei Zhao , Xiangxiang Zeng

We present the first implementation of the Active Flux method on adaptively refined Cartesian grids. The Active Flux method is a third order accurate finite volume method for hyperbolic conservation laws, which is based on the use of point…

数值分析 · 数学 2022-06-08 Donna Calhoun , Erik Chudzik , Christiane Helzel

This paper presents a novel approach, named the Group Marching Tree (GMT*) algorithm, to planning on GPUs at rates amenable to application within control loops, allowing planning in real-world settings via repeated computation of…

机器人学 · 计算机科学 2017-05-09 Brian Ichter , Edward Schmerling , Marco Pavone

We propose a low-dimensional interface reduction method for elliptic interface problems based on conservative flux reconstruction. The approach combines a fitted $P_1$ finite element discretization with a flux recovery procedure following…

数值分析 · 数学 2026-05-12 C. Attanayake , So-Hsiang Chou