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Seminario: “Kernel-based reconstructions for parametric PDEs”

Mercoledì 7 Febbraio 2018, ore 17:00 - Aula 2AB40 - Holger Wendland

ARGOMENTI: Seminars

Mercoledì 7 Febbraio 2018 alle ore 17:00 in Aula 2AB40, Holger Wendland (University of Bayreuth, Germany) terrà un seminario dal titolo “Kernel-based reconstructions for parametric PDEs”.

Abstract
In uncertainty quantification, an unknown quantity has to be reconstructed which depends typically on the solution of a partial differential equation.
This partial differential equation itself may depend on parameters, some of them are deterministic and some are random.
To approximate the unknown quantity one therefore has to solve the partial differential equation (usually numerically) for several instances of the parameters and then reconstruct the quantity from these simulations. As the number of parameters may be large, this becomes a high-dimensional reconstruction problem.
In this talk, I will address the topic of reconstructing such unknown quantities using kernel-based reconstruction methods on sparse grids.
I will introduce into the topic, explain the reconstruction process and provide error estimates.
This talk is based upon joint work with C. Rieger (Bonn) and R. Kempf (Bayreuth).