8 papers
Uniform-in-time rational approximation of the matrix exponential with real poles
Stefan Güttel, Shuai Shao
We propose two new approaches for constructing families of rational functions with shared real poles that nearly uniformly approximate the functions for and $…
Concentrated real-pole uniform-in-time approximation of the matrix exponential
Stefan Güttel, Shuai Shao
We propose an asympotically optimal choice of shared concentrated real poles of a family of rational approximants of time-dependent exponential functions for …
Scalable parallel 3-D TEM inversion via rational approximation of the matrix exponential
Ralph-Uwe Börner, Stefan Güttel, Thomas Günther
We present a novel parallel implementation for large-scale three-dimensional electromagnetic inversion based on a Gauss-Newton framework combined with a rational near-best approxim…
Stabilizing randomized GMRES through flexible GMRES
Stefan Güttel, John W. Pearson
We explore the use of flexible GMRES as an outer wrapper for sketched GMRES. Building on a new bound for the residual of FGMRES in terms of the residual of the preconditioner, we d…
Flexible GMRES converges in two phases
Stefan Güttel, Lauri Nyman
We derive a sharp upper bound on the residuals produced by the flexible GMRES (FGMRES) method. The bound shows that FGMRES exhibits two phases of convergence depending on the resid…
Data-driven discovery of chemical reaction networks
Abraham Reyes-Velazquez, Stefan Güttel, Igor Larrosa +1
We propose a unified framework that allows for the full mechanistic reconstruction of chemical reaction networks (CRNs) from concentration data. The framework utilizes an integral…