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Branching for PDEs

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Multi angle
Authors : Warin, Xavier (Author of the conference)
CIRM (Publisher )

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Abstract : Branching methods have recently been developed to solve some PDEs. Starting from Mckean formulation, we give the initial branching method to solve the KPP equation. We then give a formulation to solve non linear equation with a non linearity polynomial in the value function u. The methodology is extended for general non linearities in the value function u. Then we develop the methodology to solve non linear equation with non linearities polynomial in u and Du with convergence results. At last we give some numerical schemes to solve the semi-linear case and even the full non linear case but currently without convergence results.

MSC Codes :
35R60 - PDEs with randomness, stochastic PDE
60H15 - Stochastic partial differential equations
60J80 - Branching processes (Galton-Watson, birth-and-death, etc.)

Additional resources :
http://smai.emath.fr/cemracs/cemracs17/Slides/warin.pdf
https://gitlab.com/stochastic-control/StOpt
https://www.fime-lab.org/

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 31/07/17
    Conference Date : 19/07/17
    Subseries : Research School
    arXiv category : Analysis of PDEs ; Probability
    Mathematical Area(s) : Probability & Statistics ; PDE
    Format : MP4 (.mp4) - HD
    Video Time : 01:33:54
    Targeted Audience : Researchers ; Graduate Students
    Download : https://videos.cirm-math.fr/2017-07-19_Warin.mp4

Information on the Event

Event Title : CEMRACS - Summer school: Numerical methods for stochastic models: control, uncertainty quantification, mean-field / CEMRACS - École d'été : Méthodes numériques pour équations stochastiques : contrôle, incertitude, champ moyen
Event Organizers : Bouchard, Bruno ; Chassagneux, Jean-François ; Delarue, François ; Gobet, Emmanuel ; Lelong, Jérôme
Dates : 17/07/17 - 25/08/17
Event Year : 2017
Event URL : http://conferences.cirm-math.fr/1556.html

Citation Data

DOI : 10.24350/CIRM.V.19199103
Cite this video as: Warin, Xavier (2017). Branching for PDEs. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19199103
URI : http://dx.doi.org/10.24350/CIRM.V.19199103

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