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CORDIS

TIME parallelisation: for eXascale computing and beyond

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Deliverables

Publications

Multigrid interpretation of a three-level Parareal Algorithm (opens in new window)

Author(s): Stephanie Friedhoff, Martin J. Gander, Felix Kwok
Published in: Lecture Notes in Computational Science and Engineering, 2024, ISBN 978-3-031-50768-7
Publisher: Springer, Cham
DOI: 10.1007/978-3-031-50769-4_20

Dirichlet-Neumann and Neumann-Neumann Methods for Elliptic Control Problems (opens in new window)

Author(s): Martin J. Gander, Liu-Di Lu
Published in: Lecture Notes in Computational Science and Engineering, 2024, ISBN 978-3-031-50768-7
Publisher: Springer, Cham
DOI: 10.1007/978-3-031-50769-4_24

Parareal with a Physics-Informed Neural Network as Coarse Propagator (opens in new window)

Author(s): Abdul Qadir Ibrahim, Sebastian Götschel, Daniel Ruprecht
Published in: Lecture Notes in Computer Science, 2023, ISBN 978-3-031-39697-7
Publisher: Springer, Cham
DOI: 10.1007/978-3-031-39698-4_44

Parallel-in-time solution of eddy current problems using implicit and explicit time-stepping methods (opens in new window)

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

Convergence Bounds for Parareal with Spatial Coarseing (opens in new window)

Author(s): Aušra Pogoželskyte, Martin J. Gande
Published in: Decomposition Methods in Science and Engineering XXVII, 2024
Publisher: 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 (opens in new window)

Author(s): Ignace Bossuyt, Stefan Vandewalle, Giovanni Samaey
Published in: Lecture Notes in Computational Science and Engineering, 2024, ISBN 978-3-031-50768-7
Publisher: Springer, Cham
DOI: 10.1007/978-3-031-50769-4_7

Super-Linear and Combined Fourier Heat Kernel Convergence Estimates for Schwarz Waveform Relaxation (opens in new window)

Author(s): Martin J. Gander, Véronique Martin
Published in: Lecture Notes in Computational Science and Engineering, 2024, ISBN 978-3-031-50768-7
Publisher: Springer, Cham
DOI: 10.1007/978-3-031-50769-4_43

Unmapped tent pitching schemes by waveform relaxation (opens in new window)

Author(s): Gabriele Ciaramella, Martin J. Gander, Ilario Mazzieri
Published in: Lecture Notes in Computational Science and Engineering, 2024, ISBN 978-3-031-50768-7
Publisher: Springer, Cham
DOI: 10.1007/978-3-031-50769-4_54

Convergence of Parareal for a Vibrating String with Viscoelastic Damping

Author(s): Thibaut Lunet, Martin Gander, Ausra Pogozelskyte
Published in: Lecture Notes in Computational Science and Engineering, 2023, ISBN 978-3-030-95024-8
Publisher: Springer

An Emulation Layer for Dynamic Resources with MPI Sessions (opens in new window)

Author(s): Fecht, J., Schreiber, M., Schulz, M., Pritchard, H., Holmes, D.J.
Published in: Lecture Notes in Computer Science, 2023, ISBN 978-3-031-23219-0
Publisher: 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

Author(s): G. Rosilho de Souza, S. Pezzuto, R. Krause
Published in: CMBE 2022 Proceedings, 2022, ISBN 978-0-9562914-6-2
Publisher: Computational and scientific consultancy services Ltd

A Case Study on PMIx-Usage for Dynamic Resource Management (opens in new window)

Author(s): D. Huber, M. Schreiber, M. Schulz
Published in: Lecture Notes in Computer Science, 2023, ISBN 978-3-031-40842-7
Publisher: Springer, Cham
DOI: 10.1007/978-3-031-40843-4_4

Non-overlapping Schwarz Waveform-Relaxation for Nonlinear Advection-Diffusion Equations (opens in new window)

Author(s): Martin J. Gander, Stephan B. Lunowa, Christian Rohde
Published in: SIAM Journal on Scientific Computing, 2023, ISSN 1064-8275
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1415005

A hybrid parareal Monte Carlo algorithm for parabolic problems (opens in new window)

Author(s): Jad Dabaghia, Yvon Maday, Andrea Zoia
Published in: Journal of Computational and Applied Mathematics, 2023, ISSN 0377-0427
Publisher: Elsevier BV
DOI: 10.1016/j.cam.2022.114800

Parareal for index two differential algebraic equations (opens in new window)

Author(s): Garcia, I.C., Kulchytska-Ruchka, I. & Schöps, S
Published in: Numerical Algorithms, 2022, ISSN 1017-1398
Publisher: 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 (opens in new window)

Author(s): Marco Donatelli; Rolf Krause; Mariarosa Mazza; Ken Trotti
Published in: Journal of Computational and Applied Mathematics, 2024, ISSN 0377-0427
Publisher: Elsevier BV
DOI: 10.1016/j.cam.2024.115787

A probabilistic study of the kinetic Fokker-Planck equation in cylindrical domains (opens in new window)

Author(s): Tony Lelièvre, Mouad Ramil, Julien Reygner
Published in: Journal of Evolution Equations, 2022, ISSN 1424-3199
Publisher: Birkhauser Verlag
DOI: 10.1007/s00028-022-00796-5

An adaptive parareal algorithm: application to the simulation of molecular dynamics trajectories (opens in new window)

Author(s): Frédéric Legoll, Tony Lelièvre, and Upanshu Sharma
Published in: SIAM Journal on Scientific Computing, 2022, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1412979

Explicit stabilized multirate method for stiff differential equations (opens in new window)

Author(s): Assyr Abdulle, Marcus J. Grote, Giacomo Rosilho de Souza
Published in: Mathematics of Computation, 2022, ISSN 0025-5718
Publisher: 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 (opens in new window)

Author(s): Olga Gorynina, Frédéric Legoll, Tony Lelièvre, Danny Perez
Published in: Comptes Rendus Mécanique, 2023, ISSN 1631-0721
Publisher: Elsevier Masson
DOI: 10.5802/crmeca.220

A Unified Analysis Framework for Iterative Parallel-in-Time Algorithms (opens in new window)

Author(s): Martin J. Gander, Thibaut Lunet, Daniel Ruprecht and Robert Speck
Published in: SIAM Journal on Scientific Computing, 2023, ISSN 1095-7197
Publisher: SIAM
DOI: 10.1137/22m1487163

Parallel-in-time integration of the shallow water equations on the rotating sphere using Parareal and MGRIT (opens in new window)

Author(s): João G.C.Steinstraesser, Pedro Da Silva Peixoto, Martin Schreiber
Published in: Journal of Computational Physics, 2024, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2023.112591

Towards Dynamic Resource Management with MPI Sessions and PMIx (opens in new window)

Author(s): Huber, Dominik and Streubel, Maximilian and Compr{\'e}s, Isa{\'\i}as and Schulz, Martin and Schreiber, Martin and Pritchard, Howard
Published in: ACM, 2022, ISSN 0004-5411
Publisher: 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 (opens in new window)

Author(s): Pietro Benedusi; Michael L. Minion; Rolf Krause
Published in: Computers & Mathematics with Applications, 2021, Page(s) 162-170, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2021.07.008

Low-rank Parareal: a low-rank parallel-in-time integrator (opens in new window)

Author(s): Benjamin Carrel, Martin J. Gander, Bart Vandereycken
Published in: BIT Numerical Mathematics, 2023, ISSN 0006-3835
Publisher: Lunds Universitet
DOI: 10.1007/s10543-023-00953-3

Task Graph-Based Performance Analysis of Parallel-in-Time Methods (opens in new window)

Author(s): Matthias Bolten; Stephanie Friedhoff; Jens Hahne
Published in: Parallel Computing, 2023, ISSN 0167-8191
Publisher: Elsevier BV
DOI: 10.1016/j.parco.2023.103050

Mathematical foundations for the Parallel Replica algorithm applied to the underdamped Langevin dynamics (opens in new window)

Author(s): Mouad Ramil, Tony Lelièvre, Julien Reygner
Published in: MRS Communications, 2022, ISSN 2159-6867
Publisher: Springer
DOI: 10.1557/s43579-022-00207-3

Parallel-in-time optimization of induction motors (opens in new window)

Author(s): Jens Hahne, Björn Polenz, Iryna Kulchytska-Ruchka, Stephanie Friedhoff, Stefan Ulbrich, Sebastian Schöps
Published in: Journal of Mathematics in Industry, 2023, ISSN 2190-5983
Publisher: Springer Verlag
DOI: 10.1186/s13362-023-00134-5

Why Fourier Mode Analysis in Time is Different when Studying Schwarz Waveform Relaxation (opens in new window)

Author(s): Martin J. Gander, Véronique Martin
Published in: Journal of Computational Physics, 2023, ISSN 0021-9991
Publisher: 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 (opens in new window)

Author(s): Tony Lelièvre, Mouad Ramil, Julien Reygner
Published in: Stochastic Processes and their Applications, 2022, ISSN 0304-4149
Publisher: Elsevier BV
DOI: 10.1016/j.spa.2021.11.005

A new ParaDiag time-parallel time integration method (opens in new window)

Author(s): Martin J. Gander, Davide Palitta
Published in: SIAM Journal on Scientific Computing, 2024, Page(s) A697-A718, ISSN 1064-8275
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/23m1568028

A smoothing analysis for multigrid methods applied to tempered fractional problems (opens in new window)

Author(s): D. Ahmad; M. Donatelli; M. Mazza; S. Serra-Capizzano; K. Trotti
Published in: Linear and Multilinear Algebra, 2023, ISSN 0308-1087
Publisher: Taylor & Francis
DOI: 10.1080/03081087.2023.2242563

A parallel-in-time multiple shooting algorithm for large-scale PDE-constrained optimal control problems (opens in new window)

Author(s): Johan Meyers; Stefan Vandewalle; Liang Fang
Published in: Journal of Computational Physics, Issue 2, 2022, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2021.110926

Recent advances in Accelerated Molecular Dynamics Methods: Theory and Applications (opens in new window)

Author(s): Danny Perez, Tony Lelièvre
Published in: Comprehensive Computational Chemistry, 2023, ISBN 978-0-12-823256-9
Publisher: Elsevier
DOI: 10.1016/b978-0-12-821978-2.00116-1

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