6 papers · 1 filter
Adaptive Single- and Multilevel Stochastic Collocation Methods for Uncertain Gas Transport in Large-Scale Networks
Jens Lang, Pia Domschke, Elisa Strauch
In this paper, we are concerned with the quantification of uncertainties that arise from intra-day oscillations in the demand for natural gas transported through large-scale networ…
Fast and Reliable Transient Simulation and Continuous Optimization of Large-Scale Gas Networks
Pia Domschke, Oliver Kolb, Jens Lang
We are concerned with the simulation and optimization of large-scale gas pipeline systems in an error-controlled environment. The gas flow dynamics is locally approximated by suffi…
Well-Balanced and Asymptotic Preserving IMEX-Peer Methods
Moritz Schneider, Jens Lang
Peer methods are a comprehensive class of time integrators offering numerous degrees of freedom in their coefficient matrices that can be used to ensure advantageous properties, e.…
A Third-Order Weighted Essentially Non-Oscillatory Scheme in Optimal Control Problems Governed by Nonlinear Hyperbolic Conservation Laws
David Frenzel, Jens Lang
The weighted essentially non-oscillatory (WENO) methods are popular and effective spatial discretization methods for nonlinear hyperbolic partial differential equations. Although t…
Discrete Adjoint Implicit Peer Methods in Optimal Control
Jens Lang, Bernhard A. Schmitt
It is well known that in the first-discretize-then-optimize approach in the control of ordinary differential equations the adjoint method may converge under additional order condit…
Rosenbrock-Wanner Methods: Construction and Mission
Jens Lang
This paper is concerned with the history of Rosenbrock-Wanner methods first initiated by Rosenbrock in 1963. His original ideas are highlighted and the main developments over 56 ye…