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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 parallel hierarchical solver for general sparse linear systems on distributed-memory machines. For large-scale problems, this fully algebraic algorithm is faster and more memory-efficient than sparse direct solvers because it…

Numerical Analysis · Mathematics 2017-12-21 Chao Chen , Hadi Pouransari , Sivasankaran Rajamanickam , Erik G. Boman , Eric Darve

We introduce a parallel algorithm to construct a preconditioner for solving a large, sparse linear system where the coefficient matrix is a Laplacian matrix (a.k.a., graph Laplacian). Such a linear system arises from applications such as…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-30 Tianyu Liang , Chao Chen , Yotam Yaniv , Hengrui Luo , David Tench , Xiaoye S. Li , Aydin Buluc , James Demmel

Reservoir computing is a computational framework suited for temporal/sequential data processing. It is derived from several recurrent neural network models, including echo state networks and liquid state machines. A reservoir computing…

Reservoir computers are a type of neuromorphic computer that may be built a an analog system, potentially creating powerful computers that are small, light and consume little power. Typically a reservoir computer is build by connecting…

Neural and Evolutionary Computing · Computer Science 2021-02-03 Thomas L. Carroll

This paper presents a new resolution strategy for multi-scale streamer discharge simulations based on a second order time adaptive integration and space adaptive multiresolution. A classical fluid model is used to describe plasma…

Numerical Analysis · Mathematics 2012-04-10 Max Duarte , Zdenek Bonaventura , Marc Massot , Anne Bourdon , Stéphane Descombes , Thierry Dumont

Particle tracking in large-scale numerical simulations of turbulent flows presents one of the major bottlenecks in parallel performance and scaling efficiency. Here, we describe a particle tracking algorithm for large-scale parallel…

Fluid Dynamics · Physics 2022-05-31 Cristian C. Lalescu , Bérenger Bramas , Markus Rampp , Michael Wilczek

The recent Natural Language Processing techniques have been refreshing the state-of-the-art performance at an incredible speed. Training huge language models is therefore an imperative demand in both industry and academy. However, huge…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-01 Zhengda Bian , Qifan Xu , Boxiang Wang , Yang You

Both discrete and continuum models have been widely used to study rapid granular flow, discrete model is accurate but computationally expensive, whereas continuum model is computationally efficient but its accuracy is doubtful in many…

Fluid Dynamics · Physics 2015-12-24 Xizhong Chen , Junwu Wang , Jinghai Li

Nonlinear photonic delay systems present interesting implementation platforms for machine learning models. They can be extremely fast, offer great degrees of parallelism and potentially consume far less power than digital processors. So far…

Neural and Evolutionary Computing · Computer Science 2016-03-24 Michiel Hermans , Miguel Soriano , Joni Dambre , Peter Bienstman , Ingo Fischer

In this article we introduce a novel coupled algorithm for massively parallel direct numerical simulations of electrophoresis in microfluidic flows. This multiphysics algorithm employs an Eulerian description of fluid and ions, combined…

Computational Engineering, Finance, and Science · Computer Science 2018-05-29 Dominik Bartuschat , Ulrich Rüde

As we approach the physical limits of CMOS technology, advances in materials science and nanotechnology are making available a variety of unconventional computing substrates that can potentially replace top-down-designed silicon-based…

Emerging Technologies · Computer Science 2014-05-05 Alireza Goudarzi , Matthew R. Lakin , Darko Stefanovic

Numerical solution of reaction-diffusion equations in three dimensions is one of the most challenging applied mathematical problems. Since these simulations are very time consuming, any ideas and strategies aiming at the reduction of CPU…

Computational Physics · Physics 2011-08-17 Ferenc Molnar , Ferenc Izsak , Robert Meszaros , Istvan Lagzi

OpenMP parallelization of multiple precision Taylor series method is proposed. A very good parallel performance scalability and parallel efficiency inside one computation node of a CPU-cluster is observed. We explain the details of the…

Mathematical Software · Computer Science 2019-08-27 S. Dimova , I. Hristov , R. Hristova , I. Puzynin , T. Puzynina , Z. Sharipov , N. Shegunov , Z. Tukhliev

In this work we are interested in numerical simulations for bedload erosion processes. We present a relaxation solver that we apply to moving dunes test cases in one and two dimensions. In particular we retrieve the so-called anti-dune…

Numerical Analysis · Mathematics 2013-12-17 Emmanuel Audusse , Olivier Delestre , Le Minh-Hoang , Mathias Masson-Fauchier , Pierre Navaro , Romain Serra

We address in this thesis the current need to design new parallel algorithms and tools that ease the development of geodynamic modelling applications that are suited for today's and tomorrow's hardware. We present (1) the MATLAB HPC…

Geophysics · Physics 2022-07-19 Samuel Omlin , Ludovic Räss , Benjamin Malvoisin , Yury Y. Podladchikov

In this work, we detail the GPU-porting of an in-house pseudo-spectral solver tailored towards large-scale simulations of interface-resolved simulation of drop- and bubble-laden turbulent flows. The code relies on direct numerical…

Fluid Dynamics · Physics 2024-06-04 Alessio Roccon

A novel parallel technique for Fourier-Galerkin pseudo-spectral methods with applications to two-dimensional Navier-Stokes equations and inviscid Boussinesq approximation equations is presented. It takes the advantage of the programming…

Computational Physics · Physics 2009-11-10 Z. Yin , Li Yuan , Tao Tang

The paper describes an improved parallel MPI-based implementation of VBARMS, a variable block variant of the pARMS preconditioner proposed by Li,~Saad and Sosonkina [NLAA, 2003] for solving general nonsymmetric linear systems. The parallel…

Numerical Analysis · Mathematics 2015-08-11 Bruno Carpentieri , Jia Liao , Masha Sosonkina , Aldo Bonfiglioli

The computation of the tropical prevariety is the first step in the application of polyhedral methods to compute positive dimensional solution sets of polynomial systems. In particular, pretropisms are candidate leading exponents for the…

Mathematical Software · Computer Science 2017-07-04 Anders Jensen , Jeff Sommars , Jan Verschelde