TIME parallelisation: for eXascale computing and beyond

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Pubblicazioni

Multigrid interpretation of a three-level Parareal Algorithm

Autori: Stephanie Friedhoff, Martin J. Gander, Felix Kwok
Pubblicato in: Lecture Notes in Computational Science and Engineering, 2024, ISBN 978-3-031-50768-7
Editore: Springer, Cham
DOI: 10.1007/978-3-031-50769-4_20

Dirichlet-Neumann and Neumann-Neumann Methods for Elliptic Control Problems

Autori: Martin J. Gander, Liu-Di Lu
Pubblicato in: Lecture Notes in Computational Science and Engineering, 2024, ISBN 978-3-031-50768-7
Editore: Springer, Cham
DOI: 10.1007/978-3-031-50769-4_24

Parareal with a Physics-Informed Neural Network as Coarse Propagator

Autori: Abdul Qadir Ibrahim, Sebastian Götschel, Daniel Ruprecht
Pubblicato in: Lecture Notes in Computer Science, 2023
Editore: Springer
DOI: 10.1007/978-3-031-39698-4_44

Parallel-in-time solution of eddy current problems using implicit and explicit time-stepping methods

Autori: Cortes Garcia, Idoia ; Kulchytska-Ruchka, Iryna ; Clemens, Markus ; Schöps, Sebastian
Pubblicato in: 2020 IEEE 19th Biennial Conference on Electromagnetic Field Computation, 2020, ISBN 978-1-7281-3123-8
Editore: IEEE
DOI: 10.1109/cefc46938.2020.9451465

Convergence Bounds for Parareal with Spatial Coarseing

Autori: Aušra Pogoželskyte, Martin J. Gande
Pubblicato in: Decomposition Methods in Science and Engineering XXVII, 2024
Editore: Springer
DOI: 10.1007/978-3-031-50769-4_48

Convergence of the Micro-Macro Parareal Method for a Linear Scale-Separated Ornstein-Uhlenbeck SDE

Autori: Ignace Bossuyt, Stefan Vandewalle, Giovanni Samaey
Pubblicato in: Lecture Notes in Computational Science and Engineering, 2024, ISBN 978-3-031-50768-7
Editore: Springer, Cham
DOI: 10.1007/978-3-031-50769-4_7

Super-Linear and Combined Fourier Heat Kernel Convergence Estimates for Schwarz Waveform Relaxation

Autori: Martin J. Gander, Véronique Martin
Pubblicato in: Lecture Notes in Computational Science and Engineering, 2024, ISBN 978-3-031-50768-7
Editore: Springer, Cham
DOI: 10.1007/978-3-031-50769-4_43

Unmapped tent pitching schemes by waveform relaxation

Autori: Gabriele Ciaramella, Martin J. Gander, Ilario Mazzieri
Pubblicato in: Lecture Notes in Computational Science and Engineering, 2024, ISBN 978-3-031-50768-7
Editore: Springer, Cham
DOI: 10.1007/978-3-031-50769-4_54

Convergence of Parareal for a Vibrating String with Viscoelastic Damping

Autori: Thibaut Lunet, Martin Gander, Ausra Pogozelskyte
Pubblicato in: Lecture Notes in Computational Science and Engineering, 2023, ISBN 978-3-030-95024-8
Editore: Springer

An Emulation Layer for Dynamic Resources with MPI Sessions

Autori: Fecht, J., Schreiber, M., Schulz, M., Pritchard, H., Holmes, D.J.
Pubblicato in: Lecture Notes in Computer Science, 2023, ISBN 978-3-031-23219-0
Editore: Springer, Cham
DOI: 10.1007/978-3-031-23220-6_10

Parallel-in-Time Multirate explicit stabilized method for the monodomain model in cardiac electrophysiology

Autori: G. Rosilho de Souza, S. Pezzuto, R. Krause
Pubblicato in: CMBE 2022 Proceedings, 2022, ISBN 978-0-9562914-6-2
Editore: Computational and scientific consultancy services Ltd

A Case Study on PMIx-Usage for Dynamic Resource Management

Autori: D. Huber, M. Schreiber, M. Schulz
Pubblicato in: Lecture Notes in Computer Science, 2023, ISBN 978-3-031-40842-7
Editore: Springer, Cham
DOI: 10.1007/978-3-031-40843-4_4

Non-overlapping Schwarz Waveform-Relaxation for Nonlinear Advection-Diffusion Equations

Autori: Martin J. Gander, Stephan B. Lunowa, Christian Rohde
Pubblicato in: SIAM Journal on Scientific Computing, 2023, ISSN 1064-8275
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1415005

A hybrid parareal Monte Carlo algorithm for parabolic problems

Autori: Jad Dabaghia, Yvon Maday, Andrea Zoia
Pubblicato in: Journal of Computational and Applied Mathematics, 2023, ISSN 0377-0427
Editore: Elsevier BV
DOI: 10.1016/j.cam.2022.114800

Parareal for index two differential algebraic equations

Autori: Garcia, I.C., Kulchytska-Ruchka, I. & Schöps, S
Pubblicato in: Numerical Algorithms, 2022, ISSN 1017-1398
Editore: Baltzer Science Publishers B.V.
DOI: 10.1007/s11075-022-01267-1

Multigrid for two-sided fractional differential equations discretized by finite volume elements on graded meshes

Autori: Marco Donatelli; Rolf Krause; Mariarosa Mazza; Ken Trotti
Pubblicato in: Journal of Computational and Applied Mathematics, 2024, ISSN 0377-0427
Editore: Elsevier BV
DOI: 10.1016/j.cam.2024.115787

A probabilistic study of the kinetic Fokker-Planck equation in cylindrical domains

Autori: Tony Lelièvre, Mouad Ramil, Julien Reygner
Pubblicato in: Journal of Evolution Equations, 2022, ISSN 1424-3199
Editore: Birkhauser Verlag
DOI: 10.1007/s00028-022-00796-5

An adaptive parareal algorithm: application to the simulation of molecular dynamics trajectories

Autori: Frédéric Legoll, Tony Lelièvre, and Upanshu Sharma
Pubblicato in: SIAM Journal on Scientific Computing, 2022, ISSN 0036-1410
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1412979

Explicit stabilized multirate method for stiff differential equations

Autori: Assyr Abdulle, Marcus J. Grote, Giacomo Rosilho de Souza
Pubblicato in: Mathematics of Computation, 2022, ISSN 0025-5718
Editore: American Mathematical Society
DOI: 10.1090/mcom/3753

Combining machine-learned and empirical force fields with the parareal algorithm: application to the diffusion of atomistic defects

Autori: Olga Gorynina, Frédéric Legoll, Tony Lelièvre, Danny Perez
Pubblicato in: Comptes Rendus Mécanique, 2023, ISSN 1631-0721
Editore: Elsevier Masson
DOI: 10.5802/crmeca.220

A Unified Analysis Framework for Iterative Parallel-in-Time Algorithms

Autori: Martin J. Gander, Thibaut Lunet, Daniel Ruprecht and Robert Speck
Pubblicato in: SIAM Journal on Scientific Computing, 2023, ISSN 1095-7197
Editore: SIAM
DOI: 10.1137/22m1487163

Parallel-in-time integration of the shallow water equations on the rotating sphere using Parareal and MGRIT

Autori: João G.C.Steinstraesser, Pedro Da Silva Peixoto, Martin Schreiber
Pubblicato in: Journal of Computational Physics, 2024, ISSN 0021-9991
Editore: Academic Press
DOI: 10.1016/j.jcp.2023.112591

Towards Dynamic Resource Management with MPI Sessions and PMIx

Autori: Huber, Dominik and Streubel, Maximilian and Compr{\'e}s, Isa{\'\i}as and Schulz, Martin and Schreiber, Martin and Pritchard, Howard
Pubblicato in: ACM, 2022, ISSN 0004-5411
Editore: Association for Computing Machinary, Inc.
DOI: 10.1145/3555819.3555856

An experimental comparison of a space-time multigrid method with PFASST for a reaction-diffusion problem

Autori: Pietro Benedusi; Michael L. Minion; Rolf Krause
Pubblicato in: Computers & Mathematics with Applications, 2021, Pagina/e 162-170, ISSN 0898-1221
Editore: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2021.07.008

Low-rank Parareal: a low-rank parallel-in-time integrator

Autori: Benjamin Carrel, Martin J. Gander, Bart Vandereycken
Pubblicato in: BIT Numerical Mathematics, 2023, ISSN 0006-3835
Editore: Lunds Universitet
DOI: 10.1007/s10543-023-00953-3

Task Graph-Based Performance Analysis of Parallel-in-Time Methods

Autori: Matthias Bolten; Stephanie Friedhoff; Jens Hahne
Pubblicato in: Parallel Computing, 2023, ISSN 0167-8191
Editore: Elsevier BV
DOI: 10.1016/j.parco.2023.103050

Mathematical foundations for the Parallel Replica algorithm applied to the underdamped Langevin dynamics

Autori: Mouad Ramil, Tony Lelièvre, Julien Reygner
Pubblicato in: MRS Communications, 2022, ISSN 2159-6867
Editore: Springer
DOI: 10.1557/s43579-022-00207-3

Parallel-in-time optimization of induction motors

Autori: Jens Hahne, Björn Polenz, Iryna Kulchytska-Ruchka, Stephanie Friedhoff, Stefan Ulbrich, Sebastian Schöps
Pubblicato in: Journal of Mathematics in Industry, 2023, ISSN 2190-5983
Editore: Springer Verlag
DOI: 10.1186/s13362-023-00134-5

Why Fourier Mode Analysis in Time is Different when Studying Schwarz Waveform Relaxation

Autori: Martin J. Gander, Véronique Martin
Pubblicato in: Journal of Computational Physics, 2023, ISSN 0021-9991
Editore: Academic Press
DOI: 10.1016/j.jcp.2023.112316

Quasi-stationary distribution for the Langevin process in cylindrical domains, part I: existence, uniqueness and long-time convergence

Autori: Tony Lelièvre, Mouad Ramil, Julien Reygner
Pubblicato in: Stochastic Processes and their Applications, 2022, ISSN 0304-4149
Editore: Elsevier BV
DOI: 10.1016/j.spa.2021.11.005

A new ParaDiag time-parallel time integration method

Autori: Martin J. Gander, Davide Palitta
Pubblicato in: SIAM Journal on Scientific Computing, 2024, Pagina/e A697-A718, ISSN 1064-8275
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/23m1568028

A smoothing analysis for multigrid methods applied to tempered fractional problems

Autori: D. Ahmad; M. Donatelli; M. Mazza; S. Serra-Capizzano; K. Trotti
Pubblicato in: Linear and Multilinear Algebra, 2023, ISSN 0308-1087
Editore: Taylor & Francis
DOI: 10.1080/03081087.2023.2242563

A parallel-in-time multiple shooting algorithm for large-scale PDE-constrained optimal control problems

Autori: Johan Meyers; Stefan Vandewalle; Liang Fang
Pubblicato in: Journal of Computational Physics, Numero 2, 2022, ISSN 0021-9991
Editore: Academic Press
DOI: 10.1016/j.jcp.2021.110926

Recent advances in Accelerated Molecular Dynamics Methods: Theory and Applications

Autori: Danny Perez, Tony Lelièvre
Pubblicato in: Comprehensive Computational Chemistry, 2023, ISBN 978-0-12-823256-9
Editore: Elsevier
DOI: 10.1016/b978-0-12-821978-2.00116-1

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