142 citations · 696 across the 46 of their papers we have counts for
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Multilevel Domain Uncertainty Quantification in Computational Electromagnetics
Rubén Aylwin, Carlos Jerez-Hanckes, Christoph Schwab +1
We continue our study [Domain Uncertainty Quantification in Computational Electromagnetics, JUQ (2020), 8:301--341] of the numerical approximation of time-harmonic electromagnetic…
Monte Carlo convergence rates for th moments in Banach spaces
Kristin Kirchner, Christoph Schwab
We formulate standard and multilevel Monte Carlo methods for the th moment of a Banach space valued random variable , interpreted as…
Multiresolution kernel matrix algebra
H. Harbrecht, M. Multerer, O. Schenk +1
We propose a sparse algebra for samplet compressed kernel matrices, to enable efficient scattered data analysis. We show the compression of kernel matrices by means of samplets pro…
Exponential Convergence of hp FEM for the Integral Fractional Laplacian in Polygons
Markus Faustmann, Carlo Marcati, Jens Markus Melenk +1
We prove exponential convergence in the energy norm of finite element discretizations for the integral fractional diffusion operator of order subject to homogene…
Neural and spectral operator surrogates: unified construction and expression rate bounds
Lukas Herrmann, Christoph Schwab, Jakob Zech
Approximation rates are analyzed for deep surrogates of maps between infinite-dimensional function spaces, arising e.g. as data-to-solution maps of linear and nonlinear partial dif…
Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D
Markus Faustmann, Carlo Marcati, Jens Markus Melenk +1
We prove weighted analytic regularity for the solution of the integral fractional Poisson problem on bounded intervals with analytic right-hand side. Based on this regularity resul…