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math.NA2018
Multistep and Runge-Kutta convolution quadrature methods for coupled dynamical systems
Herbert Egger, Vsevolod Shashkov, Kersten Schmidt
We consider the efficient numerical solution of coupled dynamical systems, consisting of a small nonlinear part and a large linear time invariant part, possibly stemming from spati…
math.NA2018
An inexact Petrov-Galerkin approximation for gas transport in pipeline networks
Herbert Egger, Thomas Kugler, Vsevolod Shashkov
This paper studies the discretization of gas transport in pipeline networks by an inexact Petrov-Galerkin method. A full convergence analysis is presented for single pipes under th…