00:00:00 / 00:00:00

Preconditioning for parallel-in-time

De Andy Wathen

Apparaît dans la collection : Jean-Morlet Chair - PinT 2022: 11th Conference on Parallel-in-Time Integration / Chaire Jean-Morlet 2022 - 11ème conférence PinT - Parallel-in-Time Integration

This talk consists of two parts, one elementary and one related to the solution of complicated systems of evolutionary partial differential equations. In the first part we show how preconditioning for all-at-once descriptions of linear time-dependent differential equations can defeat the everpresent danger of high-index nilpotency associated with the principle of causality. In particular we will describe some theory for periodic preconditioning of initial value problems that establishes it as a viable Parallelin-time (PinT) approach. The second part builds on much excellent work on PinT methods for scalar parabolic PDEs such as the diffusion equation to propose PinT methods for more complicated evolutionary PDE systems. We will explain the idea with reference to the time-dependent incompressible Stokes and Navier-Stokes equations and indicate it's more broad applicability. This part of the talk is joint with Federico Danieli and Ben Southworth.

Informations sur la vidéo

Données de citation

  • DOI 10.24350/CIRM.V.19938803
  • Citer cette vidéo Wathen Andy (11/07/2022). Preconditioning for parallel-in-time. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19938803
  • URL https://dx.doi.org/10.24350/CIRM.V.19938803



  • WATHEN, Andy. Some observations on preconditioning for non-self-adjoint and time-dependent problems. Computers & Mathematics with Applications, 2022, vol. 116, p. 176-180. - https://doi.org/10.1016/j.camwa.2021.05.037
  • DANIELI, Federico, SOUTHWORTH, Ben S., et WATHEN, Andrew J. Space-time block preconditioning for incompressible flow. SIAM Journal on Scientific Computing, 2022, vol. 44, no 1, p. A337-A363. - https://doi.org/10.1137/21M1390773

Dernières questions liées sur MathOverflow

Pour poser une question, votre compte Carmin.tv doit être connecté à mathoverflow

Poser une question sur MathOverflow


  • Mettez des vidéos en favori
  • Ajoutez des vidéos à regarder plus tard &
    conservez votre historique de consultation
  • Commentez avec la communauté
  • Recevez des notifications de mise à jour
    de vos sujets favoris
Donner son avis