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In this paper, we develop a new parallel auxiliary grid algebraic multigrid (AMG) method to leverage the power of graphic processing units (GPUs). In the construction of the hierarchical coarse grid, we use a simple and fixed coarsening…

Numerical Analysis · Mathematics 2012-12-07 Lu Wang , Xiaozhe Hu , Jonathan Cohen , Jinchao Xu

We propose a new parallel-in-time algorithm for solving optimal control problems constrained by discretized partial differential equations. Our approach, which is based on a deeper understanding of ParaExp, considers an overlapping…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-06 Felix Kwok , Djahou N Tognon

This paper presents a parallel-in-time multilevel iterative method for solving differential algebraic equation, arising from a discretization of linear time-dependent partial differential equation. The core of the method is the multilevel…

Numerical Analysis · Mathematics 2024-01-02 Yogi A. Erlangga

We present a new, high-performance coupled electrodynamics-micromagnetics solver for full physical modeling of signals in microelectronic circuitry. The overall strategy couples a finite-difference time-domain (FDTD) approach for Maxwell's…

Computational Physics · Physics 2021-03-25 Zhi Yao , Revathi Jambunathan , Yadong Zeng , Andrew Nonaka

An efficient solver for the three dimensional free-space Poisson equation is presented. The underlying numerical method is based on finite Fourier series approximation. While the error of all involved approximations can be fully controlled,…

Computational Physics · Physics 2017-10-18 Lukas Exl

The Variational Quantum Eigensolver (VQE) is a hybrid quantum-classical algorithm for computing ground state energies of molecular systems. We implement VQE to calculate the potential energy surface of the hydrogen molecule (H$_2$) across…

Quantum Physics · Physics 2026-01-16 Rylan Malarchick , Ashton Steed

The increasing number of processing elements and decreas- ing memory to core ratio in modern high-performance platforms makes efficient strong scaling a key requirement for numerical algorithms. In order to achieve efficient scalability on…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-14 Michael Lange , Gerard Gorman , Michele Weiland , Lawrence Mitchell , James Southern

In view of the existing limitations of sequential computing, parallelization has emerged as an alternative in order to improve the speedup of numerical simulations. In the framework of evolutionary problems, space-time parallel methods…

Numerical Analysis · Mathematics 2025-02-13 Andrés Arrarás , Francisco J. Gaspar , Iñigo Jimenez-Ciga , Laura Portero

We review a scalable two- and three-dimensional computer code for low-temperature plasma simulations in multi-material complex geometries. Our approach is based on embedded boundary (EB) finite volume discretizations of the minimal…

Computational Physics · Physics 2019-05-01 Robert Marskar

In a context of document co-clustering, we define a new similarity measure which iteratively computes similarity while combining fuzzy sets in a three-partite graph. The fuzzy triadic similarity (FT-Sim) model can deal with uncertainty…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-24 Sonia Alouane-Ksouri , Minyar Sassi-Hidri , Kamel Barkaoui

Regional hydrology studies are often supported by high resolution simulations of subsurface flow that require expensive and extensive computations. Efficient usage of the latest high performance parallel computing systems becomes a…

Mathematical Software · Computer Science 2017-10-04 Carsten Burstedde , Jose A. Fonseca , Stefan Kollet

We propose a new computational framework that combines the recently developed time-parallel (TP) and the compound wavelet matrix (CWM) methods. The framework, termed tpCWM, offers significant computational acceleration by making…

Computational Physics · Physics 2009-09-29 George Frantziskonis , Krishna Muralidharan , Pierre Deymier , Srdjan Simunovic , Sreekanth Pannala

The phase-field method has become a useful tool for the simulation of classical metallurgical phase transformations as well as other phenomena related to materials science. The thermodynamic consistency that forms the basis of these…

Detailed timing models are indispensable tools for the design space exploration of Multiprocessor Systems on Chip (MPSoCs). As core counts continue to increase, the complexity in memory hierarchies and interconnect topologies is also…

Hardware Architecture · Computer Science 2024-05-14 José Cubero-Cascante , Niko Zurstraßen , Jörn Nöller , Rainer Leupers , Jan Moritz Joseph

This work introduces an innovative parallel, fully-distributed finite element framework for growing geometries and its application to metal additive manufacturing. It is well-known that virtual part design and qualification in additive…

Computational Engineering, Finance, and Science · Computer Science 2019-04-30 Eric Neiva , Santiago Badia , Alberto F. Martín , Michele Chiumenti

Discovering causal relationships from observational data is a crucial problem and it has applications in many research areas. The PC algorithm is the state-of-the-art constraint based method for causal discovery. However, runtime of the PC…

Artificial Intelligence · Computer Science 2016-11-11 Thuc Duy Le , Tao Hoang , Jiuyong Li , Lin Liu , Huawen Liu

Geospatial Processing, such as queries based on point-to-polyline shortest distance and point-in-polygon test, are fundamental to many scientific and engineering applications, including post-processing large-scale environmental and climate…

Databases · Computer Science 2014-03-05 Jianting Zhang Simin You

We present a novel multiscale numerical approach that combines parallel-in-time computation with hybrid domain adaptation for linear collisional kinetic equations in the diffusive regime. The method addresses the computational challenges of…

Numerical Analysis · Mathematics 2025-11-18 Tino Laidin

In this article we present a parallel algorithm for simulation of the heat conduction process inside the so-called pulse cryogenic cell. This simulation is important for designing the device for portion injection of working gases into…

Computational Engineering, Finance, and Science · Computer Science 2019-12-10 A. Ayriyan , J. Buša

We present a highly scalable Monte Carlo (MC) three-dimensional photon transport simulation platform designed for heterogeneous computing systems. Through the development of a massively parallel MC algorithm using the Open Computing…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-06 Leiming Yu , Fanny Nina-Paravecino , David Kaeli , Qianqian Fang
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