@techreport{LangSchmitt, author = {Lang, Jens and Schmitt, Bernhard A.}, title = {A Stiff MOL Boundary Control Problem for the 1D Heat Equation with Exact Discrete Solution}, volume = {Journal of Optimization Theory and Applications}, number = {Vol. 196}, doi = {https://doi.org/10.1007/s10957-022-02154-4}, url = {https://opus4.kobv.de/opus4-trr154/547}, pages = {1106 -- 1118}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{StrelowGerischLangetal., author = {Strelow, Erik Laurin and Gerisch, Alf and Lang, Jens and Pfetsch, Marc E.}, title = {Physics-Informed Neural Networks: A Case Study for Gas Transport Problems}, volume = {Journal of Computational Physics}, number = {Vol. 481}, url = {https://opus4.kobv.de/opus4-trr154/546}, pages = {112041}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{LangSchmitt, author = {Lang, Jens and Schmitt, Bernhard A.}, title = {Implicit A-Stable Peer Triplets for ODE Constrained Optimal Control Problems}, volume = {Algorithms}, number = {Vol. 15}, doi = {https://doi.org/10.3390/a15090310}, url = {https://opus4.kobv.de/opus4-trr154/545}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{DomschkeGiesselmannLangetal.2023, author = {Domschke, Pia and Giesselmann, Jan and Lang, Jens and Breiten, Tobias and Mehrmann, Volker and Morandin, Riccardo and Hiller, Benjamin and Tischendorf, Caren}, title = {Gas Network Modeling: An Overview (Extended English Version)}, url = {https://opus4.kobv.de/opus4-trr154/543}, pages = {54}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{LangSchmitt2023, author = {Lang, Jens and Schmitt, Bernhard A.}, title = {Implicit Peer Triplets in Gradient-Based Solution Algorithms for ODE Constrained Optimal Control}, volume = {http://arxiv.org/abs/2303.18180}, url = {https://opus4.kobv.de/opus4-trr154/548}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GraserKreimeierWalther2024, author = {Graser, Gertrud and Kreimeier, Timo and Walther, Andrea}, title = {Solving Linear Generalized Nash Games Using an Active Signature Method}, url = {https://opus4.kobv.de/opus4-trr154/542}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{AlldredgeFrankGiesselmann2023, author = {Alldredge, Graham and Frank, Martin and Giesselmann, Jan}, title = {On the convergence of the regularized entropy-based moment method for kinetic equations}, volume = {9}, doi = {https://doi.org/10.5802/smai-jcm.93}, url = {https://opus4.kobv.de/opus4-trr154/536}, pages = {1-29}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GiesselmannKolbe2023, author = {Giesselmann, Jan and Kolbe, Niklas}, title = {A posteriori error analysis of a positivity preserving scheme for the power-law diffusion Keller-Segel model}, url = {https://opus4.kobv.de/opus4-trr154/540}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GiesselmannKwon2023, author = {Giesselmann, Jan and Kwon, Kiwoong}, title = {A posteriori error control for a Discontinuous Galerkin approximation of a Keller-Segel model}, url = {https://opus4.kobv.de/opus4-trr154/541}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GiesselmannKrupa2023, author = {Giesselmann, Jan and Krupa, Sam}, title = {Theory of shifts, shocks, and the intimate connections to L2-type a posteriori error analysis of numerical schemes for hyperbolic problems}, url = {https://opus4.kobv.de/opus4-trr154/539}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{EggerGiesselmann2023, author = {Egger, Herbert and Giesselmann, Jan}, title = {Regularity and long time behavior of a doubly nonlinear parabolic problem and its discretization}, url = {https://opus4.kobv.de/opus4-trr154/538}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GugatGiesselmann2023, author = {Gugat, Martin and Giesselmann, Jan}, title = {An Observer for pipeline flow with hydrogen blending in gas networks: exponential synchronization}, url = {https://opus4.kobv.de/opus4-trr154/537}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BernhardLiersStingletal., author = {Bernhard, Daniela and Liers, Frauke and Stingl, Michael and Uihlein, Andrian}, title = {A Gradient-Based Method for Joint Chance-Constrained Optimization with Continuous Distributions}, url = {https://opus4.kobv.de/opus4-trr154/532}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GeiersbachHenrion2023, author = {Geiersbach, Caroline and Henrion, Ren{\´e}}, title = {Optimality conditions in control problems with random state constraints in probabilistic or almost-sure form}, url = {https://opus4.kobv.de/opus4-trr154/529}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GeiersbachHenrionPerezAros2023, author = {Geiersbach, Caroline and Henrion, Ren{\´e} and P{\´e}rez-Aros, Pedro}, title = {Numerical solution of an optimal control problem with probabilistic and almost sure state constraints}, url = {https://opus4.kobv.de/opus4-trr154/530}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HanteKuchler, author = {Hante, Falk and Kuchler, Christian}, title = {Indirect methods for optimal control of parabolic hybrid PDE-dynamical / switching systems using relaxation}, url = {https://opus4.kobv.de/opus4-trr154/528}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GrimmGruebelSchmidtetal.2023, author = {Grimm, Veronika and Gr{\"u}bel, Julia and Schmidt, Martin and Schwartz, Alexandra and Wiertz, Ann-Kathrin and Z{\"o}ttl, Gregor}, title = {On a Tractable Single-Level Reformulation of a Multilevel Model of the European Entry-Exit Gas Market with Market Power}, url = {https://opus4.kobv.de/opus4-trr154/527}, pages = {31}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{ShyshkanovaZaytsevaZhushmanetal.2023, author = {Shyshkanova, Ganna and Zaytseva, Tetyana and Zhushman, V and Levchenko, Ntaliia and Korotunova, Olena}, title = {Solving three-dimensional contact problems for foundation design in green building}, doi = {10.1088/1742-6596/2609/1/012001}, url = {https://opus4.kobv.de/opus4-trr154/526}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @phdthesis{Krug2023, author = {Krug, Richard}, title = {Decomposition Methods for Time-Dependent Mixed-Integer Nonlinear Optimization Problems on Graphs}, url = {https://opus4.kobv.de/opus4-trr154/525}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{OuanesGonzálezGrandónHeitschetal.2023, author = {Ouanes, Nesrine and González Grandón, Tatiana and Heitsch, Holger and Henrion, René}, title = {Optimizing the economic dispatch of weakly-connected mini-grids under uncertainty using joint chance constraints}, url = {https://opus4.kobv.de/opus4-trr154/524}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{ShyshkanovaWalther2023, author = {Shyshkanova, Ganna and Walther, Andrea}, title = {Optimization of a punch shape with a doubly connected contact domain}, url = {https://opus4.kobv.de/opus4-trr154/523}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GoerigkKurtzSchmidtetal.2023, author = {Goerigk, Marc and Kurtz, Jannis and Schmidt, Martin and Th{\"u}rauf, Johannes}, title = {Connections between Robust and Bilevel Optimization}, url = {https://opus4.kobv.de/opus4-trr154/522}, pages = {22}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GugatQianSokolowski2023, author = {Gugat, Martin and Qian, Meizhi and Sokolowski, Jan}, title = {Topological derivative method for control of wave equation on networks}, url = {https://opus4.kobv.de/opus4-trr154/521}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{KannanKreimeierWalther2023, author = {Kannan, Aswin and Kreimeier, Timo and Walther, Andrea}, title = {On Solving Nonsmooth Retail Portfolio Maximization Problems Using Active Signature Methods}, url = {https://opus4.kobv.de/opus4-trr154/520}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HanteKuchler2023, author = {Hante, Falk and Kuchler, Christian}, title = {An Algorithmic Framework for Optimal Control of Hybrid Dynamical System with Parabolic PDEs}, url = {https://opus4.kobv.de/opus4-trr154/519}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GoessMartinPokuttaetal., author = {G{\"o}ß, Adrian and Martin, Alexander and Pokutta, Sebastian and Sharma, Kartikey}, title = {Norm-induced Cuts: Optimization with Lipschitzian Black-box Functions}, url = {https://opus4.kobv.de/opus4-trr154/518}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BongartiHintermueller2023, author = {Bongarti, Marcelo and Hinterm{\"u}ller,}, title = {Optimal boundary control of the isothermal semilinear Euler equation for gas dynamics on a network}, url = {https://opus4.kobv.de/opus4-trr154/512}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @inproceedings{GugatSchuster2022, author = {Gugat, Martin and Schuster, Michael}, title = {Max-p optimal boundary control of gas flow}, volume = {Extended Abstracts of the 25th International Symposium on Mathematical Theory of Networks and Systems Bayreuth, Germany, 12-16 September 2022}, doi = {https://doi.org/10.15495/EPub_UBT_00006809}, url = {https://opus4.kobv.de/opus4-trr154/510}, pages = {4}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatLazar2023, author = {Gugat, Martin and Lazar, Martin}, title = {Turnpike Properties for Partially Uncontrollable Systems}, volume = {Automatica}, number = {149}, url = {https://opus4.kobv.de/opus4-trr154/511}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{SchusterSakamoto2023, author = {Schuster, Michael and Sakamoto, Noboru}, title = {A Turnpike Result for Optimal Boundary Control Problems with the Transport Equation under Uncertainty}, url = {https://opus4.kobv.de/opus4-trr154/509}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GiesselmannGugatKunkel2023, author = {Giesselmann, Jan and Gugat, Martin and Kunkel, Teresa}, title = {Observer-based data assimilation for barotropic gas transport using distributed measurements}, volume = {22}, publisher = {Communications in Mathematical Sciences}, doi = {10.4310/CMS.240918203214}, url = {https://opus4.kobv.de/opus4-trr154/508}, pages = {2271 -- 2309}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{EgererGrimmNiazmandetal.2023, author = {Egerer, Jonas and Grimm, Veronika and Niazmand, Kiana and Runge, Philipp}, title = {The economics of global green ammonia trade - "Shipping Australian wind and sunshine to Germany"}, series = {Applied Energy}, volume = {334}, journal = {Applied Energy}, doi = {https://doi.org/10.1016/j.apenergy.2023.120662}, url = {https://opus4.kobv.de/opus4-trr154/507}, pages = {15}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HanteSchmidt2023, author = {Hante, Falk M. and Schmidt, Martin}, title = {Gas Transport Network Optimization: Mixed-Integer Nonlinear Models}, url = {https://opus4.kobv.de/opus4-trr154/505}, pages = {8}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HanteSchmidt2023, author = {Hante, Falk M. and Schmidt, Martin}, title = {Gas Transport Network Optimization: PDE-Constrained Models}, url = {https://opus4.kobv.de/opus4-trr154/504}, pages = {8}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{KrugLeugeringMartinetal.2022, author = {Krug, Richard and Leugering, G{\"u}nter and Martin, Alexander and Schmidt, Martin and Weninger, Dieter}, title = {A Consensus-Based Alternating Direction Method for Mixed-Integer and PDE-Constrained Gas Transport Problems}, url = {https://opus4.kobv.de/opus4-trr154/503}, pages = {26}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{SchmidtThuerauf2022, author = {Schmidt, Martin and Th{\"u}rauf, Johannes}, title = {An Exact Method for Nonlinear Network Flow Interdiction Problems}, url = {https://opus4.kobv.de/opus4-trr154/502}, pages = {28}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{ShyshkanovaWalther2022, author = {Shyshkanova, Ganna and Walther, Andrea}, title = {Contact Pressure over Doubly Connected Rectangular Domains and Punch Shape Optimization}, url = {https://opus4.kobv.de/opus4-trr154/501}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{KreimeierPokuttaWaltheretal.2022, author = {Kreimeier, Timo and Pokutta, Sebastian and Walther, Andrea and Woodstock, Zev}, title = {On a Frank-Wolfe Approach for Abs-smooth Functions}, url = {https://opus4.kobv.de/opus4-trr154/499}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GruebelKrugSchmidtetal.2022, author = {Gr{\"u}bel, Julia and Krug, Richard and Schmidt, Martin and Wollner, Winnifried}, title = {A Successive Linear Relaxation Method for MINLPs with Multivariate Lipschitz Continuous Nonlinearities}, url = {https://opus4.kobv.de/opus4-trr154/498}, pages = {34}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HorlaenderSchmidt2022, author = {Horl{\"a}nder, Andreas and Schmidt, Martin}, title = {A Penalty Branch-and-Bound Method for Mixed-Integer Quadratic Bilevel Problems}, url = {https://opus4.kobv.de/opus4-trr154/497}, pages = {9}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{AignerBaermannBraunetal.2023, author = {Aigner, Kevin-Martin and B{\"a}rmann, Andreas and Braun, Kristin and Liers, Frauke and Pokutta, Sebastian and Schneider, Oskar and Sharma, Kartikey and Tschuppik, Sebastian}, title = {Data-driven Distributionally Robust Optimization over Time}, url = {https://opus4.kobv.de/opus4-trr154/496}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{MolanSchmidt2022, author = {Molan, Ioana and Schmidt, Martin}, title = {Using Neural Networks to Solve Linear Bilevel Problems with Unknown Lower Level}, url = {https://opus4.kobv.de/opus4-trr154/495}, pages = {16}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GutinaBaermannRoederetal.2022, author = {Gutina, Daria and B{\"a}rmann, Andreas and Roeder, Georg and Schellenberger, Martin and Liers, Frauke}, title = {Optimisation over Decision Trees - A Case Study for the Design of Stable Direct-Current Electricity Networks}, url = {https://opus4.kobv.de/opus4-trr154/494}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatSchusterSteffensen2022, author = {Gugat, Martin and Schuster, Michael and Steffensen, Sonja}, title = {A Dynamic Multilevel Model of the European Gas Market}, number = {Volume 2023}, publisher = {Communications in Optimization Theory}, url = {https://opus4.kobv.de/opus4-trr154/493}, pages = {1 -- 26}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @phdthesis{Gruebel, author = {Gr{\"u}bel, Julia}, title = {Existence, Uniqueness, and Algorithms for Equilibria in Competitive Energy Markets}, doi = {10.25353/ubtr-xxxx-4c49-7f53}, url = {https://opus4.kobv.de/opus4-trr154/492}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BeckLjubicSchmidt2022, author = {Beck, Yasmine and Ljubic, Ivana and Schmidt, Martin}, title = {A Survey on Bilevel Optimization Under Uncertainty}, url = {https://opus4.kobv.de/opus4-trr154/491}, pages = {57}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{HernandezLecarosZamorano2022, author = {Hernandez, Martin and Lecaros, Rodrigo and Zamorano, Sebastian}, title = {Averaged turnpike property for differential equations with random constant coefficients}, url = {https://opus4.kobv.de/opus4-trr154/490}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @incollection{Leugering2022, author = {Leugering, G{\"u}nter}, title = {Nonoverlapping Domain Decomposition in Space and Time for Optimal Control Problems on Metric Graphs by the Example of Gas Flow in Pipe Networks}, url = {https://opus4.kobv.de/opus4-trr154/489}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BeckSchmidtThueraufetal.2022, author = {Beck, Yasmine and Schmidt, Martin and Th{\"u}rauf, Johannes and Bienstock, Daniel}, title = {On a Computationally Ill-Behaved Bilevel Problem with a Continuous and Nonconvex Lower Level}, url = {https://opus4.kobv.de/opus4-trr154/484}, pages = {16}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HannesVolkerRolandetal.2022, author = {Hannes, D{\"a}nschel and Volker, Mehrmann and Roland, Marius and Schmidt, Martin}, title = {Adaptive Nonlinear Optimization of District Heating Networks Based on Model and Discretization Catalogs}, url = {https://opus4.kobv.de/opus4-trr154/483}, pages = {29}, year = {2022}, language = {en}, type = {Preprint}, institution = {TRR 154} }