1 citations · 1 across the 1 of their papers we have counts for
5 papers
On the Numerical Treatment of Interlaced Target Values -- Modeling, Optimization and Simulation of Regulating Valves in Gas Networks
Felix Hennings, Milena Petkovic, Tom Streubel
Due to the current and foreseeable shifts in energy production, the trading and transport operations of gas will become more dynamic, volatile, and hence also less predictable. The…
An Open Newton Method for Piecewise Smooth Functions
Manuel Radons, Lutz Lehmann, Tom Streubel +1
Recent research has shown that piecewise smooth (PS) functions can be approximated by piecewise linear functions with second order error in the distance to a given reference point.…
Solving piecewise linear equations in abs-normal form
Andreas Griewank, Jens Uwe Bernt, Manuel Radons +1
With the ultimate goal of iteratively solving piecewise smooth (PS) systems, we consider the solution of piecewise linear (PL) equations. PL models can be derived in the fashion of…
Integrating Lipschitzian Dynamical Systems using Piecewise Algorithmic Differentiation
Andreas Griewank, Richard Hasenfelder, Manuel Radons +1
In this article we analyze a generalized trapezoidal rule for initial value problems with piecewise smooth right hand side \(F:\R^n\to\R^n\). When applied to such a problem the cla…
Piecewise linear secant approximation via Algorithmic Piecewise Differentiation
Andreas Griewank, Tom Streubel, Lutz Lehmann +2
It is shown how piecewise differentiable functions that are defined by evaluation programs can be approximated locally by a piecewise linear m…