70 citations · 223 across the 28 of their papers we have counts for
31 papers
Implicit Peer Triplets in Gradient-Based Solution Algorithms for ODE Constrained Optimal Control
Jens Lang, Bernhard A. Schmitt
It is common practice to apply gradient-based optimization algorithms to numerically solve large-scale ODE constrained optimal control problems. Gradients of the objective function…
A Stiff MOL Boundary Control Problem for the 1D Heat Equation with Exact Discrete Solution
Jens Lang, Bernhard A. Schmitt
Method-of-lines discretizations are demanding test problems for stiff integration methods. However, for PDE problems with known analytic solution the presence of space discretizati…
Implicit A-Stable Peer Triplets for ODE Constrained Optimal Control Problems
Jens Lang, Bernhard A. Schmitt
This paper is concerned with the construction and convergence analysis of novel implicit Peer triplets of two-step nature with four stages for nonlinear ODE constrained optimal con…
Quantification of Bore Path Uncertainty in Borehole Heat Exchanger Arrays
Philipp Steinbach, Daniel Otto Schulte, Bastian Welsch +2
Borehole heat exchanger arrays have become a common implement for the utilization of thermal energy in the soil. Building these facilities is expensive, especially the drilling of…
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…