12 citations · 41 across the 26 of their papers we have counts for
4 papers · 1 filter
A quadratic decoder approach to nonintrusive reduced-order modeling of nonlinear dynamical systems
Peter Benner, Pawan Goyal, Jan Heiland +1
Linear projection schemes like Proper Orthogonal Decomposition can efficiently reduce the dimensions of dynamical systems but are naturally limited, e.g., for convection-dominated…
Neural ODEs with Irregular and Noisy Data
Pawan Goyal, Peter Benner
Measurement noise is an integral part while collecting data of a physical process. Thus, noise removal is necessary to draw conclusions from these data, and it often becomes essent…
A Structure-Preserving Divide-and-Conquer Method for Pseudosymmetric Matrices
Peter Benner, Yuji Nakatsukasa, Carolin Penke
We devise a spectral divide-and-conquer scheme for matrices that are self-adjoint with respect to a given indefinite scalar product (i.e. pseudosymmetic matrices). The pseudosymmet…
The Hamiltonian Extended Krylov Subspace Method
Peter Benner, Heike Faßbender, Michel-Niklas Senn
An algorithm for constructing a -orthogonal basis of the extended Krylov subspace $H^{2r-1}u, H^{-1}u, H^{-2}u,…