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We present a parallel algorithm for computing the treewidth of a graph on a GPU. We implement this algorithm in OpenCL, and experimentally evaluate its performance. Our algorithm is based on an $O^*(2^{n})$-time algorithm that explores the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-29 Tom C. van der Zanden , Hans L. Bodlaender

Atmospheric powered descent guidance can be solved by successive convexification; however, its onboard application is impeded by the sharp increase in computation caused by nonlinear aerodynamic forces. The problem has to be converted into…

Systems and Control · Electrical Eng. & Systems 2023-06-07 Yushu Chen , Guangwen Yang , Lu Wang , Qingzhong Gan , Haipeng Chen , Quanyong Xu

The adoption of hybrid GPU-CPU nodes in traditional supercomputing platforms opens acceleration opportunities for electronic structure calculations in materials science and chemistry applications, where medium sized Hermitian generalized…

Numerical Analysis · Computer Science 2012-07-10 Raffaele Solcà , Thomas C. Schulthess , Azzam Haidar , Stanimire Tomov , Ichitaro Yamazaki , Jack Dongarra

We present a simple numerical algorithm for solving elliptic equations where the diffusion coefficient, the source term, the solution and its flux are discontinuous across an irregular interface. The algorithm produces second-order accurate…

Computational Physics · Physics 2023-09-26 Daniil Bochkov , Frederic Gibou

Applications that exploit the architectural details of high-performance computing (HPC) systems have become increasingly invaluable in academia and industry over the past two decades. The most important hardware development of the last…

Mathematical Software · Computer Science 2020-05-15 Daniel J. Magee , Anthony S. Walker , Kyle E. Niemeyer

The ARRIVAL problem is to decide the fate of a train moving along the edges of a directed graph, according to a simple (deterministic) pseudorandom walk. The problem is in $NP \cap coNP$ but not known to be in $P$. The currently best…

Data Structures and Algorithms · Computer Science 2021-04-12 Bernd Gärtner , Sebastian Haslebacher , Hung P. Hoang

We present a new algorithm to quickly generate high-performance GPU implementations of complex imaging and vision pipelines, directly from high-level Halide algorithm code. It is fully automatic, requiring no schedule templates or…

Programming Languages · Computer Science 2023-08-29 Luke Anderson , Andrew Adams , Karima Ma , Tzu-Mao Li , Tian Jin , Jonathan Ragan-Kelley

We present AsterX, a novel open-source, modular, GPU-accelerated, fully general relativistic magnetohydrodynamic (GRMHD) code designed for dynamic spacetimes in 3D Cartesian coordinates, and tailored for exascale computing. We utilize…

The fast multipole method (FMM) has received growing attention in the beam physics simulation. In this study, we formulate an interpolation-based FMM for the computation of the relativistic space-charge field. Different to the…

Computational Physics · Physics 2023-07-19 Yi-Kai Kan , Franz X. Kärtner , Sabine Le Borne , Jens-Peter M. Zemke

We present a General-purpose computing on graphics processing units (GPGPU) based computational program and framework for the electronic dynamics of atomic systems under intense laser fields. We present our results using the case of…

Computational Physics · Physics 2014-03-25 Cathal Ó Broin , L. A. A Nikolopoulos

The answers to data assimilation questions can be expressed as path integrals over all possible state and parameter histories. We show how these path integrals can be evaluated numerically using a Markov Chain Monte Carlo method designed to…

Computational Physics · Physics 2015-05-27 John C. Quinn , Henry D. I. Abarbanel

The hydrodynamic escape problem (HEP), which is characterized by a free boundary value problem of Euler equation with gravity and heat, is crucial for investigating the evolution of planetary atmospheres. In this paper, the global existence…

Analysis of PDEs · Mathematics 2015-11-17 Bo-Chih Huang , Shih-Wei Chou , John M. Hong , Chien-Chang Yen

As an important application of spatial databases in pathology imaging analysis, cross-comparing the spatial boundaries of a huge amount of segmented micro-anatomic objects demands extremely data- and compute-intensive operations, requiring…

Databases · Computer Science 2012-08-02 Kaibo Wang , Yin Huai , Rubao Lee , Fusheng Wang , Xiaodong Zhang , Joel H. Saltz

Multi-depot vehicle routing problems (MDVRPs) are prevalent in a variety of practical applications. However, they are computationally challenging to solve due to their inherent complexity. This paper proposes an effective hybrid algorithm…

Robotics · Computer Science 2026-05-08 Zhenyu Lei , Jin-Kao Hao

Sequential quadratic programming (SQP) is widely used in solving nonlinear optimization problem, with advantages of warm-starting solutions, as well as finding high-accurate solution and converging quadratically using second-order…

Optimization and Control · Mathematics 2023-10-23 Bowen Li , Michel Schanen , Kibaek Kim

In LHC Run 3, ALICE will increase the data taking rate significantly to 50 kHz continuous read-out of minimum bias Pb-Pb collisions. The reconstruction strategy of the online-offline computing upgrade foresees a first synchronous online…

Instrumentation and Detectors · Physics 2019-10-02 David Rohr , Sergey Gorbunov , Marten Ole Schmidt , Ruben Shahoyan

The large-scale analysis task of deciphering gravitational wave signals in the LISA data stream will be difficult, requiring a large amount of computational resources and extensive development of computational methods. Its high…

General Relativity and Quantum Cosmology · Physics 2024-12-12 Michael L. Katz , Nikolaos Karnesis , Natalia Korsakova , Jonathan R. Gair , Nikolaos Stergioulas

ALICE (A Large Heavy Ion Experiment) is one of the four major experiments at the Large Hadron Collider (LHC) at CERN. The High Level Trigger (HLT) is an online compute farm which reconstructs events measured by the ALICE detector in…

Instrumentation and Detectors · Physics 2019-08-14 David Rohr , Sergey Gorbunov , Volker Lindenstruth

We present a massively parallel, GPU-accelerated implementation of the Bethe-Salpeter equation (BSE) for the calculation of the vertical excitation energies (VEEs) and optical absorption spectra of condensed and molecular systems, starting…

Materials Science · Physics 2024-12-25 Victor Wen-zhe Yu , Yu Jin , Giulia Galli , Marco Govoni

Dynamic simulators are computational models governed by differential equations that evolve over time. They are essential for scientific and engineering applications but remain challenging to emulate because of the unpredictable behavior of…

Computation · Statistics 2025-08-12 Junoh Heo