@techreport{HankeMaerzTischendorf, author = {Hanke, Michael and M{\"a}rz, Roswitha and Tischendorf, Caren}, title = {Least-Squares Collocation for Higher-Index Linear Differential-Algebraic Equations: Estimating the Instability Threshold}, series = {Math. Comp.}, volume = {88}, journal = {Math. Comp.}, doi = {10.1090/mcom/3393}, url = {https://opus4.kobv.de/opus4-trr154/204}, pages = {1647 -- 1683}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{WaltherHiller2017, type = {Working Paper}, author = {Walther, Tom and Hiller, Benjamin}, title = {Modelling compressor stations in gas networks}, url = {https://opus4.kobv.de/opus4-trr154/203}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{WaltherHillerSaitenmacher2017, author = {Walther, Tom and Hiller, Benjamin and Saitenmacher, Ren{\´e}}, title = {Polyhedral 3D Models for compressors in gas networks}, url = {https://opus4.kobv.de/opus4-trr154/201}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{LeugeringMartinSchmidtetal.2017, author = {Leugering, G{\"u}nter and Martin, Alexander and Schmidt, Martin and Sirvent, Mathias}, title = {Nonoverlapping Domain Decomposition for Optimal Control Problems governed by Semilinear Models for Gas Flow in Networks}, volume = {46}, number = {3}, publisher = {Control and Cybernetics}, url = {https://opus4.kobv.de/opus4-trr154/202}, pages = {191 -- 225}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HillerSaitenmacherWalther2017, author = {Hiller, Benjamin and Saitenmacher, Ren{\´e} and Walther, Tom}, title = {Analysis of operating modes of complex compressor stations}, url = {https://opus4.kobv.de/opus4-trr154/200}, pages = {14}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{LangMindt2017, author = {Lang, Jens and Mindt, Pascal}, title = {Entropy-Preserving Coupling Conditions for One-dimensional Euler Systems at Junctions}, volume = {Networks and Heterogeneous Media}, number = {Vol. 13}, doi = {10.3934/nhm.2018008}, url = {https://opus4.kobv.de/opus4-trr154/197}, pages = {177 -- 190}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @misc{LangLeugeringMartinetal., author = {Lang, Jens and Leugering, G{\"u}nter and Martin, Alexander and Tischendorf, Caren}, title = {Gasnetzwerke: Mathematische Modellierung, Simulation und Optimierung}, doi = {10.1515/dmvm-2015-0013}, url = {https://opus4.kobv.de/opus4-trr154/198}, language = {de}, type = {Preprint}, institution = {TRR 154} } @techreport{LangHundsdorfer2017, author = {Lang, Jens and Hundsdorfer, Willem}, title = {Extrapolation-based implicit-explicit Peer methods with optimised stability regions}, volume = {J. Comput. Phys.}, number = {337}, doi = {doi:10.1016/j.jcp.2017.02.034}, url = {https://opus4.kobv.de/opus4-trr154/196}, pages = {203 -- 215}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{UllmannRotkvicLang2016, author = {Ullmann, Sebastian and Rotkvic, Marko and Lang, Jens}, title = {POD-Galerkin reduced-order modeling with adaptive finite element snapshots}, doi = {10.1016/j.jcp.2016.08.018}, url = {https://opus4.kobv.de/opus4-trr154/195}, year = {2016}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GugatPerrollazRosier2017, author = {Gugat, Martin and Perrollaz, Vincent and Rosier, Lionel}, title = {Boundary stabilization of quasilinear hyperbolic systems of balance laws: Exponential decay for small source terms}, url = {https://opus4.kobv.de/opus4-trr154/193}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @inproceedings{LeugeringMophou2017, author = {Leugering, G{\"u}nter and Mophou, Gis{\`e}le}, title = {Instantaneous optimal control of friction dominated flow in a gas-network}, series = {DFG-AIMS-Workshop, in Mbour, Senegal, 13-16. March 2017}, volume = {International Series for Numerical Mathematics}, booktitle = {DFG-AIMS-Workshop, in Mbour, Senegal, 13-16. March 2017}, editor = {Schulz, Volker}, publisher = {Birkh{\"a}user}, url = {https://opus4.kobv.de/opus4-trr154/192}, pages = {15}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{DomschkeHillerLangetal.2017, author = {Domschke, Pia and Hiller, Benjamin and Lang, Jens and Tischendorf, Caren}, title = {Modellierung von Gasnetzwerken: Eine {\"U}bersicht}, volume = {2717}, url = {https://opus4.kobv.de/opus4-trr154/191}, pages = {33}, year = {2017}, language = {de}, type = {Preprint}, institution = {TRR 154} } @techreport{HintermuellerRautenbergStrogies2017, author = {Hinterm{\"u}ller, Michael and Rautenberg, Carlos and Strogies, Nikolai}, title = {Dissipative and Non-dissipative Evolutionary Quasi-variational Inequalities with Gradient Constraints}, series = {Set-Valued and Variational Analysis}, volume = {27}, journal = {Set-Valued and Variational Analysis}, url = {https://opus4.kobv.de/opus4-trr154/190}, pages = {433 -- 468}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{HintermuellerStrogies2017, author = {Hinterm{\"u}ller, Michael and Strogies, Nikolai}, title = {On the consistency of Runge--Kutta methods up to order three applied to the optimal control of scalar conservation laws}, series = {Numerical Analysis and Optimization}, journal = {Numerical Analysis and Optimization}, doi = {10.20347/WIAS.PREPRINT.2442}, url = {https://opus4.kobv.de/opus4-trr154/189}, pages = {119 -- 154}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatHertyMueller2017, author = {Gugat, Martin and Herty, Michael and M{\"u}ller, Siegfried}, title = {Coupling conditions for the transition from supersonic to subsonic fluid states}, series = {Networks and Heterogeneous Media (NHM)}, volume = {12}, journal = {Networks and Heterogeneous Media (NHM)}, number = {3}, editor = {Piccoli, Benedetto}, doi = {10.3934/nhm.2017016}, url = {https://opus4.kobv.de/opus4-trr154/187}, pages = {371 -- 380}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{HabeckPfetschUlbrich, author = {Habeck, Oliver and Pfetsch, Marc E. and Ulbrich, Stefan}, title = {Global optimization of mixed-integer ODE constrained network problems using the example of stationary gas transport}, volume = {29}, number = {4}, edition = {SIAM Journal of Optimization}, doi = {10.1137/17M1152668}, url = {https://opus4.kobv.de/opus4-trr154/186}, pages = {2949 -- 2985}, language = {en}, type = {Preprint}, institution = {TRR 154} } @incollection{BennerGrundelHimpeetal., author = {Benner, Peter and Grundel, Sarah and Himpe, Christian and Huck, Christoph and Streubel, Tom and Tischendorf, Caren}, title = {Gas Network Benchmark Models}, series = {Applications of Differential-Algebraic Equations: Examples and Benchmarks}, volume = {DAE-FORUM}, booktitle = {Applications of Differential-Algebraic Equations: Examples and Benchmarks}, publisher = {Springer}, address = {Cham}, doi = {10.1007/11221_2018_5}, url = {https://opus4.kobv.de/opus4-trr154/184}, pages = {171 -- 197}, language = {en}, type = {Preprint}, institution = {TRR 154} } @inproceedings{HuckTischendorf, author = {Huck, Christoph and Tischendorf, Caren}, title = {Transient Modeling and Simulation of Gas Pipe Networks with Characteristic Diagram Models for Compressors}, series = {Proceedings in Applied Mathematics and Mechanics}, volume = {17}, booktitle = {Proceedings in Applied Mathematics and Mechanics}, number = {1}, doi = {10.1002/pamm.201710322}, url = {https://opus4.kobv.de/opus4-trr154/185}, pages = {707 -- 708}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HuckTischendorf, author = {Huck, Christoph and Tischendorf, Caren}, title = {Perturbation analysis of hyperbolic PDAEs describing flow networks}, url = {https://opus4.kobv.de/opus4-trr154/183}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatLeugeringWang2017, author = {Gugat, Martin and Leugering, G{\"u}nter and Wang, Ke}, title = {Neumann boundary feedback stabilization for a nonlinear wave equation: A strict H2-Lyapunov function}, series = {Mathematical Control and Related Fields (MCRF)}, volume = {7}, journal = {Mathematical Control and Related Fields (MCRF)}, number = {3}, editor = {Zhang, Xu}, doi = {10.3934/mcrf.2017015}, url = {https://opus4.kobv.de/opus4-trr154/179}, pages = {419 -- 448}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} }