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DTSTART;TZID=Europe/Paris:20240321T140000
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DTSTAMP:20260520T123445
CREATED:20240222T150002Z
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SUMMARY:EDP : Katharina Schratz (Sorbonne Université) : Resonances as a computational tool
DESCRIPTION:A large toolbox of numerical schemes for dispersive equations has been established\, based on different discretization techniques such as discretizing the variation-of-constants formula (e.g.\, exponential integrators) or splitting the full equation into a series of simpler subproblems (e.g.\, splitting methods). In many situations these classical schemes allow a precise and efficient approximation. This\, however\, drastically changes whenever non-smooth phenomena enter the scene such as for problems at low regularity and high oscillations. Classical schemes fail to capture the oscillatory nature of the solution\, and this may lead to severe instabilities and loss of convergence. In this talk I present a new class of resonance based schemes. The key idea in the construction of the new schemes is to tackle and deeply embed the underlying nonlinear  structure of resonances into the numerical discretization. As in the continuous case\, these terms are central to structure preservation and offer the new schemes strong geometric properties at low regularity. 
URL:https://lmv.math.cnrs.fr/evenenement/edp-katharina-schratz-sorbonne-universite-resonances-as-a-computational-tool/
LOCATION:Bâtiment Fermat\, salle 4205
CATEGORIES:Séminaire EDP
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DTSTART;TZID=Europe/Paris:20240321T153000
DTEND;TZID=Europe/Paris:20240321T163000
DTSTAMP:20260520T123445
CREATED:20240222T150115Z
LAST-MODIFIED:20240321T155642Z
UID:12475-1711035000-1711038600@lmv.math.cnrs.fr
SUMMARY:EDP : Cindy Guichard (Sorbonne Université) : Méthode de discrétisation gradient : principes et exemples
DESCRIPTION:Dans cet exposé\, nous présenterons les grands principes de la méthode dite de discrétisation gradient qui donne un cadre général pour l’analyse numérique de problème elliptique/parabolique. Différents exemples viendront illustrer ce formalisme. On discutera plus particulièrement d’éléments finis mixtes.
URL:https://lmv.math.cnrs.fr/evenenement/edp-cindy-guichard-sorbonne-universite/
LOCATION:Bâtiment Fermat\, salle 4205
CATEGORIES:Séminaire EDP
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