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The focus of my PhD thesis is on exploring parallel approaches to efficiently solve problems modeled by constraints and presenting a new proposal. Current solvers are very advanced; they are carefully designed to effectively manage the…

Artificial Intelligence · Computer Science 2019-09-23 Fabio Tardivo

This paper considers one of the fundamental parallel-in-time methods for the solution of ordinary differential equations, Parareal, and extends it by adopting a neural network as a coarse propagator. We provide a theoretical analysis of the…

Numerical Analysis · Mathematics 2024-08-20 Marta M. Betcke , Lisa Maria Kreusser , Davide Murari

Recently, the ParaOpt algorithm was proposed as an extension of the time-parallel Parareal method to optimal control. ParaOpt uses quasi-Newton steps that each require solving a system of matching conditions iteratively. The…

Numerical Analysis · Mathematics 2024-12-04 Corentin Bonte , Arne Bouillon , Giovanni Samaey , Karl Meerbergen

Many deep learning applications benefit from using large models with billions of parameters. Training these models is notoriously expensive due to the need for specialized HPC clusters. In this work, we consider alternative setups for…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-30 Max Ryabinin , Tim Dettmers , Michael Diskin , Alexander Borzunov

We present and compare distributed parallelization strategies for the particle-in-Fourier (PIF) schemes used in kinetic plasma simulations. The different strategies are i) domain decomposition, where both the particles and Fourier modes are…

Computational Engineering, Finance, and Science · Computer Science 2026-05-12 Sriramkrishnan Muralikrishnan , Paul Fischill , Andreas Adelmann , Robert Speck

This paper addresses the problem of parallelizing computations to study non-linear dynamics in large networks of non-locally coupled oscillators using heterogeneous computing resources. The proposed approach can be applied to a variety of…

Chaotic Dynamics · Physics 2025-07-04 Oleksandr Sudakov , Volodymyr Maistrenko

Parareal is a well-known parallel-in-time algorithm that combines a coarse and fine propagator within a parallel iteration. It allows for large-scale parallelism that leads to significantly reduced computational time compared to serial…

Numerical Analysis · Mathematics 2023-11-07 Tommaso Buvoli , Michael L. Minion

Agent-based modelling constitutes a versatile approach to representing and simulating complex systems. Studying large-scale systems is challenging because of the computational time required for the simulation runs: scaling is at least…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-05 Alexandru-Ionuţ Băbeanu , Tatiana Filatova , Jan H. Kwakkel , Neil Yorke-Smith

Parallel computing is omnipresent in today's scientific computer landscape, starting at multicore processors in desktop computers up to massively parallel clusters. While domain decomposition methods have a long tradition in computational…

Numerical Analysis · Mathematics 2025-03-20 H. M. Verhelst , J. H. Den Besten , M. Möller

We present the application of a micro/macro parareal algorithm for a 1-D energy balance climate model with discontinuous and non-monotone coefficients and forcing terms. The micro/macro parareal method uses a coarse propagator, based on a…

Numerical Analysis · Mathematics 2023-05-23 Giovanni Samaey , Thomas Slawig

The numerical simulation of atherosclerotic plaque growth is computationally prohibitive, since it involves a complex cardiovascular fluid-structure interaction (FSI) problem with a characteristic time scale of milliseconds to seconds, as…

Numerical Analysis · Mathematics 2023-08-09 Stefan Frei , Alexander Heinlein

Many academic disciplines - including information systems, computer science, and operations management - face scheduling problems as important decision making tasks. Since many scheduling problems are NP-hard in the strong sense, there is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-26 Gerhard Rauchecker , Guido Schryen

This paper presents our work on developing parallel computational methods for two-phase flow on modern parallel computers, where techniques for linear solvers and nonlinear methods are studied and the standard and inexact Newton methods are…

Computational Engineering, Finance, and Science · Computer Science 2017-01-24 Hui Liu , Lihua Shen , Yan Chen , Kun Wang , Bo Yang , Zhangxin Chen

To effectively control large-scale distributed systems online, model predictive control (MPC) has to swiftly solve the underlying high-dimensional optimization. There are multiple techniques applied to accelerate the solving process in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-30 Carmen Amo Alonso , Shih-Hao Tseng

Parallel computing has turned out to be the enabling technology to solve complex physical systems. However, the transition from shared memory, vector computers to massively parallel, distributed memory systems and, recently, to hybrid…

Astrophysics · Physics 2007-05-23 P. Hoeflich

Deploying a large language model (LLM) inference service remains costly because centralized serving depends on specialized GPU clusters and high-bandwidth interconnects in datacenters. An appealing alternative is to leverage collaborative…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-01 Chris Tong , Youhe Jiang , Gufeng Chen , Tianyi Zhao , Sibian Lu , Wenjie Qu , Eric Yang , Lynn Ai , Binhang Yuan

Recent advances in computing architectures and networking are bringing parallel computing systems to the masses so increasing the number of potential users of these kinds of systems. In particular, two important technological evolutions are…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-05 Gabriele D'Angelo , Moreno Marzolla

The scalability of massively parallel algorithms is a fundamental question in computer science. We study the scalability and the efficiency of a conservative massively parallel algorithm for discrete-event simulations where the discrete…

Statistical Mechanics · Physics 2007-05-23 G. Korniss , M. A. Novotny , Z. Toroczkai , P. A. Rikvold

We consider a large-scale parallel-server system, where each server independently adjusts its processing speed in a decentralized manner. The objective is to minimize the overall cost, which comprises the average cost of maintaining the…

Optimization and Control · Mathematics 2023-06-06 Daan Rutten , Martin Zubeldia , Debankur Mukherjee

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…

Computation · Statistics 2025-09-05 Guglielmo Gattiglio , Lyudmila Grigoryeva , Massimiliano Tamborrino
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