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Discrete variational methods show excellent performance in numerical simulations of different mechanical systems. In this paper, we introduce an iterative procedure for the solution of discrete variational equations for boundary value…

Discrete variational methods have shown an excellent performance in numerical simulations of different mechanical systems. In this paper, we introduce an iterative method for discrete variational methods appropriate for boundary value…

We introduce Prob-GParareal, a probabilistic extension of the GParareal algorithm designed to provide uncertainty quantification for the Parallel-in-Time (PinT) solution of (ordinary and partial) differential equations (ODEs, PDEs). The…

统计计算 · 统计学 2025-09-05 Guglielmo Gattiglio , Lyudmila Grigoryeva , Massimiliano Tamborrino

Parareal algorithms are studied for semilinear parabolic stochastic partial differential equations. These algorithms proceed as two-level integrators, with fine and coarse schemes, and have been designed to achieve a `parallel in real time'…

数值分析 · 数学 2019-02-15 Charles-Edouard Bréhier , Xu Wang

Asynchronous iterations are more and more investigated for both scaling and fault-resilience purpose on high performance computing platforms. While so far, they have been exclusively applied within space domain decomposition frameworks,…

分布式、并行与集群计算 · 计算机科学 2021-10-22 Frederic Magoules , Guillaume Gbikpi-Benissan

This report discusses the implementation of two parallel algorithms on a distributed memory system for studying vortex dynamics in type-II superconductors. These algorithms are the same as that implemented for classical molecular dynamics…

超导电性 · 物理学 2007-05-23 Mahesh Chandran

With the explosion of distributed energy resources (DERs), voltage regulation in distribution networks has been facing a great challenge. This paper derives an asynchronous distributed voltage control strategy based on the partial…

系统与控制 · 电气工程与系统科学 2019-08-20 Zhaojian Wang , Feng Liu , Yifan Su , Boyu Qin

Many problems in computational science and engineering involve partial differential equations and thus require the numerical solution of large, sparse (non)linear systems of equations. Multigrid is known to be one of the most efficient…

数学软件 · 计算机科学 2014-06-23 Harald Koestler , Christian Schmitt , Sebastian Kuckuk , Frank Hannig , Juergen Teich , Ulrich Ruede

In this paper the concept of Multirate Partial Differential Equations (MPDEs) is applied to obtain an efficient solution for nonlinear low-frequency electrical circuits with pulsed excitation. The MPDEs are solved by a Galerkin approach and…

计算工程、金融与科学 · 计算机科学 2017-11-07 Andreas Pels , Johan Gyselinck , Ruth V. Sabariego , Sebastian Schöps

Time-parallel algorithms seek greater concurrency by decomposing the temporal domain of a Partial Differential Equation (PDE), providing possibilities for accelerating the computation of its solution. While parallelisation in time has…

数值分析 · 数学 2021-04-20 Federico Danieli , Scott MacLachlan

To analyze large sets of grid states, e.g. when evaluating the impact from the uncertainties of the renewable generation with probabilistic Monte Carlo simulation or in stationary time series simulation, large number of power flow…

计算工程、金融与科学 · 计算机科学 2021-04-29 Zhenqi Wang , Sebastian Wende-von Berg , Martin Braun

We propose a parallel adaptive constraint-tightening approach to solve a linear model predictive control problem for discrete-time systems, based on inexact numerical optimization algorithms and operator splitting methods. The underlying…

最优化与控制 · 数学 2015-03-24 Laura Ferranti , Tamas Keviczky

The simulation of radio frequency (RF) circuits is one of the severest problems in Design Automation: the information signal or envelope is modulated by a carrier signal with a center frequency typically in the GHz range. Due to Nyquist's…

数值分析 · 数学 2016-04-27 Kai Bittner , Hans Georg Brachtendorf

This article describes algorithms for the hybrid parallelization and SIMD vectorization of molecular dynamics simulations with short-range forces. The parallelization method combines domain decomposition with a thread-based parallelization…

材料科学 · 物理学 2017-09-13 Chris M. Mangiardi , Ralf Meyer

In this paper, we address the power-aware scheduling of sporadic constrained-deadline hard real-time tasks using dynamic voltage scaling upon multiprocessor platforms. We propose two distinct algorithms. Our first algorithm is an off-line…

操作系统 · 计算机科学 2008-03-10 Vincent Nélis , Joël Goossens , Nicolas Navet , Raymond Devillers , Dragomir Milojevic

Model predictive control (MPC) is a powerful framework for optimal control of dynamical systems. However, MPC solvers suffer from a high computational burden that restricts their application to systems with low sampling frequency. This…

最优化与控制 · 数学 2025-03-12 Casian Iacob , Hany Abdulsamad , Simo Särkkä

We discuss the efficiency of parallelization on graphical processing units (GPUs) for the simulation of the one dimensional Potts model with long range interactions via parallel tempering. We investigate the behaviour of some thermodynamic…

统计力学 · 物理学 2015-06-17 A. Boer

The paper deals with the developing of the methodological backgrounds for the modeling and simulation of complex dynamical objects. Such backgrounds allow us to perform coordinate transformation and formulate the algorithm of its usage for…

分布式、并行与集群计算 · 计算机科学 2019-08-07 Roman Voliansky , Andri Pranolo

In this paper, we are concerned with the micro-macro Parareal algorithm for the simulation of initial-value problems. In this algorithm, a coarse (fast) solver is applied sequentially over the time domain, and a fine (time-consuming) solver…

数值分析 · 数学 2025-10-29 Ignace Bossuyt , Stefan Vandewalle , Giovanni Samaey

This paper presents a parallel-in-time adjoint sensitivity analysis which combines a transient adjoint sensitivity analysis with the parareal approach in order to significantly speed up the simulation. The adjoint method is the method of…

数值分析 · 数学 2023-07-04 Julian Sarpe , Andreas Klaedtke , Herbert De Gersem