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In this work, we consider the solution of boundary integral equations by means of a scalable hierarchical matrix approach on clusters equipped with graphics hardware, i.e. graphics processing units (GPUs). To this end, we extend our…

数学软件 · 计算机科学 2018-07-02 Helmut Harbrecht , Peter Zaspel

This paper presents a GPU-accelerated framework for solving block tridiagonal linear systems that arise naturally in numerous real-time applications across engineering and scientific computing. Through a multi-stage permutation strategy…

最优化与控制 · 数学 2026-01-08 Roland Schwan , Daniel Kuhn , Colin N. Jones

Matrix decompositions are ubiquitous in machine learning, including applications in dimensionality reduction, data compression and deep learning algorithms. Typical solutions for matrix decompositions have polynomial complexity which…

We propose the first GPU algorithm for the 3D triangulation refinement problem. For an input of a piecewise linear complex $\mathcal{G}$ and a constant $B$, it produces, by adding Steiner points, a constrained Delaunay triangulation…

图形学 · 计算机科学 2019-03-11 Zhenghai Chen , Tiow-Seng Tan

This paper proposes a GPU-accelerated optimization framework for collision avoidance problems where the controlled objects and the obstacles can be modeled as the finite union of convex polyhedra. A novel collision avoidance constraint is…

机器人学 · 计算机科学 2024-06-12 Zeming Wu , Zhuping Wang , Hao Zhang

Temporal Graph Neural Networks (TGNNs) have emerged as powerful tools for modeling dynamic interactions across various domains. The design space of TGNNs is notably complex, given the unique challenges in runtime efficiency and scalability…

机器学习 · 计算机科学 2024-12-31 Yuxin Yang , Hongkuan Zhou , Rajgopal Kannan , Viktor Prasanna

This paper presents a heuristic for finding the optimum number of CUDA streams by using tools common to the modern AI-oriented approaches and applied to the parallel partition algorithm. A time complexity model for the GPU realization of…

分布式、并行与集群计算 · 计算机科学 2026-05-22 Milena Veneva , Toshiyuki Imamura

The simulation of the two-dimensional Ising model is used as a benchmark to show the computational capabilities of Graphic Processing Units (GPUs). The rich programming environment now available on GPUs and flexible hardware capabilities…

分布式、并行与集群计算 · 计算机科学 2020-08-26 Joshua Romero , Mauro Bisson , Massimiliano Fatica , Massimo Bernaschi

GPGPU applications exploit on-chip scratchpad memory available in the Graphics Processing Units (GPUs) to improve performance. The amount of thread level parallelism present in the GPU is limited by the number of resident threads, which in…

硬件体系结构 · 计算机科学 2017-02-14 Vishwesh Jatala , Jayvant Anantpur , Amey Karkare

Local search plays a central role in many effective heuristic algorithms for the vehicle routing problem (VRP) and its variants. However, neighborhood exploration is known to be computationally expensive and time consuming, especially for…

分布式、并行与集群计算 · 计算机科学 2026-01-30 Zhenyu Lei , Jin-Kao Hao , Qinghua Wu

As in various fields like scientific research and industrial application, the computation time optimization is becoming a task that is of increasing importance because of its highly parallel architecture. The graphics processing unit is…

性能 · 计算机科学 2017-10-18 Huichao Hong , Lixin Zheng , Shuwan Pan

In this paper, we demonstrate how GPU-accelerated BEM routines can be used in a simple black-box fashion to accelerate fast boundary element formulations based on Hierarchical Matrices (H-Matrices) with ACA (Adaptive Cross Approximation).…

分布式、并行与集群计算 · 计算机科学 2017-11-07 Kerstin Vater , Timo Betcke , Boris Dilba

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

The Multilevel Fast Multipole Algorithm (MLFMA) has known applications in scientific modeling in the fields of telecommunications, physics, mechanics, and chemistry. Accelerating calculation of far-field using GPUs and GPU clusters for…

分布式、并行与集群计算 · 计算机科学 2024-03-05 Morteza Sadeghi , Abdolreza Torabi

The acceleration of sparse matrix computations on modern many-core processors, such as the graphics processing units (GPUs), has been recognized and studied over a decade. Significant performance enhancements have been achieved for many…

数学软件 · 计算机科学 2017-10-16 Ruipeng Li

The clustering coefficient and the transitivity ratio are concepts often used in network analysis, which creates a need for fast practical algorithms for counting triangles in large graphs. Previous research in this area focused on…

分布式、并行与集群计算 · 计算机科学 2016-08-09 Adam Polak

Grid space partitioning is a technique to speed up queries to graphics databases. We present a parallel grid construction algorithm which can efficiently construct a structured grid on GPU hardware. Our approach is substantially faster than…

图形学 · 计算机科学 2024-03-19 Vasco Costa , João M. Pereira , Joaquim Jorge

We propose simple yet effective improvements in point representations and local neighborhood graph construction within the general framework of graph neural networks (GNNs) for 3D point cloud processing. As a first contribution, we propose…

计算机视觉与模式识别 · 计算机科学 2021-03-30 Siddharth Srivastava , Gaurav Sharma

Lattice structures have been widely used in applications due to their superior mechanical properties. To fabricate such structures, a geometric processing step called triangulation is often employed to transform them into the STL format…

计算几何 · 计算机科学 2025-02-25 Qiang Zou , Yunzhu Gao

We introduce a distributed adaptive quadrature method that formulates multidimensional integration as a hierarchical domain decomposition problem on multi-GPU architectures. The integration domain is recursively partitioned into subdomains…

分布式、并行与集群计算 · 计算机科学 2025-11-04 Melanie Tonarelli , Simone Riva , Pietro Benedusi , Fabrizio Ferrandi , Rolf Krause