Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Christian Rieger"'
Autor:
Matthias Kirchhart, Christian Rieger
Publikováno v:
SIAM Journal on Scientific Computing. 43:A609-A635
We propose a simple tweak to a recently developed regularization scheme for particle methods. This allows us to choose the particle spacing $h$ proportional to the regularization length $\sigma$ an...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ac6187d2fb63789f60c2ca331a5e000
https://doi.org/10.1137/19m1299864
https://doi.org/10.1137/19m1299864
Autor:
Christian Rieger, Holger Wendland
Publikováno v:
IMA Journal of Numerical Analysis. 40:285-321
We derive sampling inequalities for discrete point sets that are of anisotropic tensor product form. Such sampling inequalities can be used to prove convergence for arbitrary stable reconstruction processes. As usual in the context of high-dimensiona
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::95cd3cab1bcb3df4a5d6f066f7690ffd
https://doi.org/10.1093/imanum/dry080
https://doi.org/10.1093/imanum/dry080
This publication shows the semi-empiric noise modeling of an electric-powered vertical takeoff and landing (eVTOL) unmanned aerial vehicle (UAV) by means of system identification from flight noise measurement data. This work aims to provide noise mod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::88a1639a184802043793ab3eb0d39254
https://mediatum.ub.tum.de/1704954
https://mediatum.ub.tum.de/1704954
Publikováno v:
Journal of Complexity. 46:66-89
In this article, we present a cost–benefit analysis of the approximation in tensor products of Hilbert spaces of Sobolev-analytic type. The Sobolev part is defined on a finite dimensional domain, whereas the analytical space is defined on an infini
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2aca84defe623ae09bc4e1730c208b0a
https://doi.org/10.1016/j.jco.2017.12.001
https://doi.org/10.1016/j.jco.2017.12.001
Publikováno v:
Mathematics of Computation. 87:1949-1989
While inverse estimates in the context of radial basis function approximation on boundary-free domains have been known for at least ten years, such theorems for the more important and difficult setting of bounded domains have been notably absent. Thi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ebbf0da0ceb680f0adb55ed53345348c
https://doi.org/10.1090/mcom/3256
https://doi.org/10.1090/mcom/3256
Publikováno v:
Foundations of Computational Mathematics. 18:459-508
We present a theoretical framework for reproducing kernel-based reconstruction methods in certain generalized Besov spaces based on positive, essentially self-adjoint operators. An explicit representation of the reproducing kernel is given in terms o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::90b2939a294408ed32fc7e839909f281
https://doi.org/10.1007/s10208-017-9346-z
https://doi.org/10.1007/s10208-017-9346-z
Autor:
Michael Griebel, Christian Rieger
Publikováno v:
SIAM/ASA Journal on Uncertainty Quantification. 5:111-137
In this paper, we present kernel methods for the approximation of quantities of interest which are derived from solutions of parametric partial differential equations. From a priori information on the parameters in the differential equation, we expli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc4a82dd327cf923fef9f0e3fd959fe8
https://doi.org/10.1137/15m1026870
https://doi.org/10.1137/15m1026870
Publikováno v:
Meshfree Methods for Partial Differential Equations IX ISBN: 9783030151188
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 may be determinist
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a8a66b8576246927a1bd1028b26812f7
https://doi.org/10.1007/978-3-030-15119-5_4
https://doi.org/10.1007/978-3-030-15119-5_4
Autor:
Christian Rieger, Holger Wendland
Publikováno v:
Numerische Mathematik. 136:439-466
Sampling inequalities play an important role in deriving error estimates for various reconstruction processes. They provide quantitative estimates on a Sobolev norm of a function, defined on a bounded domain, in terms of a discrete norm of the functi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99f641c1e9f6ff1e1d3a8d104289cf43
https://doi.org/10.1007/s00211-016-0845-7
https://doi.org/10.1007/s00211-016-0845-7
Autor:
Christian Rieger
Publikováno v:
Pädiatrie ISBN: 9783642546716
Pädiatrie
Pädiatrie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::147627782868f71f9cfb448d8fd052e5
https://doi.org/10.1007/978-3-642-54671-6_174-2
https://doi.org/10.1007/978-3-642-54671-6_174-2