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20142024
most citedRunge-Kutta convolution quadrature and FEM-BEM coupling for the time dependent linear Schrödinger equation

17 citations · 76 across the 18 of their papers we have counts for

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math.NA2024

FEM-BEM coupling for the high-frequency Helmholtz problem

Jens Markus Melenk, Ilaria Perugia, Alexander Rieder

We present a wavenumber-explicit analysis of FEM-BEM coupling methods for time-harmonic Helmholtz problems proposed in arXiv:2004.03523 for conforming discretizations and in arXiv:…

math.NA2024

Towards optimal hierarchical training of neural networks

Michael Feischl, Alexander Rieder, Fabian Zehetgruber

We propose a hierarchical training algorithm for standard feed-forward neural networks that adaptively extends the network architecture as soon as the optimization reaches a statio…

math.NA2024

A -version of convolution quadrature in wave propagation

Alexander Rieder

We consider a novel way of discretizing wave scattering problems using the general formalism of convolution quadrature, but instead of reducing the timestep size (-method), we a…