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Sebastian Throm

Bridging the Gaps Oberseminar Analysis: Benedikt Wirth (WWU): Numerical approximation on Riemannian manifolds

Wednesday, 23.06.2021 12:00 per ZOOM: Link to Zoom info

Mathematik und Informatik

In approximation theory there are many classical and basic results on how well functions in certain function spaces (say smooth functions) can be approximated by elements from finite-dimensional subspaces (say e.g. splines; such an approximation is the simplest form of a numerical discretization). However, if the function to be approximated maps into a nonlinear manifold, what would be the corresponding discrete approximations, how does one compute them, and how does one show their approximation properties? There are several possibilities, and I will discuss one or two exemplary ones (most likely cubic spline curves).



Angelegt am 16.04.2021 von Sebastian Throm
Geändert am 16.06.2021 von Sebastian Throm
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