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H 1 Computational methods for large-scale matrix equations and application to PDEs

Auteurs : Simoncini, Valeria (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : Linear matrix equations such as the Lyapunov and Sylvester equations and their generalizations have classically played an important role in the analysis of dynamical systems, in control theory and in eigenvalue computation. More recently, matrix equations have emerged as a natural linear algebra framework for the discretized version of (systems of) partial differential equations (PDEs), possibly evolving in time. In this new framework, new challenges have arisen. In this talk we review some of the key methodologies for solving large scale linear and quadratic matrix equations. We will also discuss recent matrix-based strategies for the numerical solution of time-dependent problems arising in control and in the analysis of spatial pattern formations in certain electrodeposition models.

    Keywords : matrix equations; Krylov spaces; ordinary differential equations

    Codes MSC :
    15A24 - Matrix equations and identities
    65F10 - Iterative methods for linear systems

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 08/10/2019
      Date de captation : 19/09/2019
      Collection : Research talks ; Numerical Analysis and Scientific Computing
      Format : MP4
      Durée : 00:55:46
      Domaine : Numerical Analysis & Scientific Computing
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2019-09-19_Simoncini.mp4

    Informations sur la rencontre

    Nom de la rencontre : Parallel Solution Methods for Systems Arising from PDEs / Méthodes parallèles pour la résolution de systèmes issus d'équations aux dérivées partielles
    Organisateurs de la rencontre : Dolean, Victorita ; Spillane, Nicole ; Szyld, Daniel
    Dates : 16/09/2019 - 20/09/2019
    Année de la rencontre : 2019
    URL Congrès : https://conferences.cirm-math.fr/2064.html

    Citation Data

    DOI : 10.24350/CIRM.V.19561403
    Cite this video as: Simoncini, Valeria (2019). Computational methods for large-scale matrix equations and application to PDEs. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19561403
    URI : http://dx.doi.org/10.24350/CIRM.V.19561403


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