@techreport{PokuttaSpiegelZimmeretal.2024, author = {Pokutta, Sebastian and Spiegel, Christoph and Zimmer, Max and Mundinger, Konrad}, title = {Extending the Continuum of Six-Colorings}, series = {Geocombinatorics Quarterly}, volume = {Geocombinatorics Quarterly}, journal = {Geocombinatorics Quarterly}, number = {Volume XXXIV: 2024}, doi = {10.48550}, url = {https://opus4.kobv.de/opus4-trr154/633}, pages = {10}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @inproceedings{PokuttaZimmerMundinger2024, author = {Pokutta, Sebastian and Zimmer, Max and Mundinger, Konrad}, title = {Neural Parameter Regression for Explicit Representations of PDE Solution Operators}, url = {https://opus4.kobv.de/opus4-trr154/632}, pages = {15}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @inproceedings{PokuttaSpiegelZimmeretal.2025, author = {Pokutta, Sebastian and Spiegel, Christoph and Zimmer, Max and Kiem, Aldo and Mundinger, Konrad}, title = {Neural Discovery in Mathematics: Do Machines Dream of Colored Planes?}, url = {https://opus4.kobv.de/opus4-trr154/631}, pages = {20}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{ChaumetGiesselmann2026, author = {Chaumet, Aidan and Giesselmann, Jan}, title = {Convergence Analysis of a Fully Discrete Observer for Data Assimilation of the Barotropic Euler Equations}, doi = {10.48550/arXiv.2603.10962}, url = {https://opus4.kobv.de/opus4-trr154/630}, year = {2026}, language = {en}, type = {Preprint}, institution = {TRR 154} } @periodical{BoernerPfetschUlbrich, author = {B{\"o}rner, Pascal and Pfetsch, Marc E. and Ulbrich, Stefan}, title = {Mixing of Gases in Stationary Networks: Properties and Optimization}, url = {https://opus4.kobv.de/opus4-trr154/629}, pages = {44}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{HenrionSchmidt2026, author = {Henrion, Ren{\´e} and Schmidt, Martin}, title = {Chance-Constrained Linear Complementarity Problems}, url = {https://opus4.kobv.de/opus4-trr154/627}, year = {2026}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BreitenKarsaiMehrmannetal., author = {Breiten, Tobias and Karsai, Attila and Mehrmann, Volker and Domschke, Pia and Giesselmann, Jan and Lang, Jens and Tscherpel, Tabea and Hiller, Benjamin and Morandin, Riccardo and Tischendorf, Caren}, title = {A Catalog of Gas Network Models: PDEs, Coupling Conditions, and Numerical Schemes}, url = {https://opus4.kobv.de/opus4-trr154/626}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BoernerGiesselmannKumaretal., author = {B{\"o}rner, Pascal and Giesselmann, Jan and Kumar, Varun M. and Pfetsch, Marc E. and Thiele, Michael and Tscherpel, Tabea}, title = {Gas Mixtures on Networks: Modeling, Simulation and Optimization}, url = {https://opus4.kobv.de/opus4-trr154/623}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BrunkGiesselmannTscherpel, author = {Brunk, Aaron and Giesselmann, Jan and Tscherpel, Tabea}, title = {A posteriori existence of strong solutions to the Navier-Stokes equations in 3D}, url = {https://opus4.kobv.de/opus4-trr154/622}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GoettlichSchusterUlke2026, author = {G{\"o}ttlich, Simone and Schuster, Michael and Ulke, Alena}, title = {On the Existence of Steady States for Blended Gas Flow with Non-Constant Compressibility Factor on Networks}, url = {https://opus4.kobv.de/opus4-trr154/619}, year = {2026}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{HeitschHenrion2025, author = {Heitsch, Holger and Henrion, Ren{\´e}}, title = {On the Lipschitz continuity of the spherical cap discrepancy around generic point sets}, series = {Unif. Distrib. Theory}, volume = {20}, journal = {Unif. Distrib. Theory}, number = {1}, doi = {10.2478/udt-2025-0011}, url = {https://opus4.kobv.de/opus4-trr154/618}, pages = {35 -- 63}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{BernhardHeitschHenrionetal., author = {Bernhard, Daniela and Heitsch, Holger and Henrion, Ren{\´e} and Liers, Frauke and Stingl, Michael and Uihlein, Andrian and Zipf, Viktor}, title = {Continuous stochastic gradient and spherical radial decomposition}, url = {https://opus4.kobv.de/opus4-trr154/617}, language = {en}, type = {Preprint}, institution = {TRR 154} } @phdthesis{Schuster2025, author = {Schuster, Michael}, title = {Control and Optimization under Uncertainty in the Context of Gas Network Operation}, url = {https://opus4.kobv.de/opus4-trr154/616}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{Gugat2026, author = {Gugat, Martin}, title = {Synchronization of velocities in pipeline flow of blended gas}, series = {Journal of Mathematical Analysis and Applications}, volume = {556}, journal = {Journal of Mathematical Analysis and Applications}, number = {1}, doi = {10.1016/j.jmaa.2025.130078}, url = {https://opus4.kobv.de/opus4-trr154/615}, pages = {19}, year = {2026}, language = {en}, type = {Preprint}, institution = {TRR 154} } @incollection{PfetschSchmidtSkutellaetal.2026, author = {Pfetsch, Marc and Schmidt, Martin and Skutella, Martin and Th{\"u}rauf, Johannes}, title = {Potential-Based Flows - An Overview}, series = {Mathematical Modelling, Simulation and Optimization using the Example of Gas Networks}, booktitle = {Mathematical Modelling, Simulation and Optimization using the Example of Gas Networks}, publisher = {Springer-Nature}, url = {https://opus4.kobv.de/opus4-trr154/614}, year = {2026}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{Gugat2026, author = {Gugat, Martin}, title = {Boundary Stabilization of Quasi-Linear Hyperbolic Systems with Varying Time-Delay}, volume = {63}, number = {SIAM Journal on Control and Optimization}, doi = {10.1137/24M1648570}, url = {https://opus4.kobv.de/opus4-trr154/613}, pages = {452 -- 471}, year = {2026}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GiesselmannRanocha2025, author = {Giesselmann, Jan and Ranocha, Hendrik}, title = {Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions}, url = {https://opus4.kobv.de/opus4-trr154/611}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BreitkopfGugatUlbrich2025, author = {Breitkopf, Jannik and Gugat, Martin and Ulbrich, Stefan}, title = {Existence and Optimal Boundary Control of Classical Solutions to Networks of Quasilinear Hyperbolic Systems of Balance Laws}, url = {https://opus4.kobv.de/opus4-trr154/610}, pages = {42}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BernhardLiersStingl, author = {Bernhard, Daniela and Liers, Frauke and Stingl, Michael}, title = {Branch-and-cut for mixed-integer robust chance-constrained optimization with discrete distributions}, url = {https://opus4.kobv.de/opus4-trr154/609}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BreitkopfUlbrich2025, author = {Breitkopf, Jannik and Ulbrich, Stefan}, title = {A Variational Calculus for Optimal Control of the Generalized Riemann Problem for Hyperbolic Systems of Conservation Laws}, url = {https://opus4.kobv.de/opus4-trr154/607}, pages = {34}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{DenzlerAignerLueeretal.2025, author = {Denzler, Sebastian and Aigner, Kevin-Martin and L{\"u}er, Larry and Brabec, Christoph and Liers, Frauke}, title = {Robust Bayesian Optimization with an Application to Material Science}, url = {https://opus4.kobv.de/opus4-trr154/606}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{UlkeSchusterGoettlich2024, author = {Ulke, Alena and Schuster, Michael and G{\"o}ttlich, Simone}, title = {Steady State Blended Gas Flow on Networks: Existence and Uniqueness of Solutions}, volume = {Netw. Heterog. Media}, url = {https://opus4.kobv.de/opus4-trr154/605}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{SchusterSokolowski2025, author = {Schuster, Michael and Sokolowski, Jan}, title = {The Topological Derivative Method for Optimum Shape Design and Control of Gas Networks}, url = {https://opus4.kobv.de/opus4-trr154/604}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{SchusterStrauchWilkaetal.2025, author = {Schuster, Michael and Strauch, Elisa and Wilka, Hendrik and Lang, Jens and Gugat, Martin}, title = {Probabilistic Robustness for Compressor Controls in Transient Pipeline Networks}, url = {https://opus4.kobv.de/opus4-trr154/603}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BernhardStinglLiers, author = {Bernhard, Daniela and Stingl, Michael and Liers, Frauke}, title = {Algorithms for robust chance-constrained optimization with mixture ambiguity}, url = {https://opus4.kobv.de/opus4-trr154/602}, language = {en}, type = {Preprint}, institution = {TRR 154} } @inproceedings{DisserGriesbachKlimmetal.2024, author = {Disser, Yann and Griesbach, Svenja M. and Klimm, Max and Lutz, Annette}, title = {Bicriterial Approximation for the Incremental Prize-Collecting Steiner-Tree Problem}, url = {https://opus4.kobv.de/opus4-trr154/600}, pages = {21}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BerrensGiesselmann2025, author = {Berrens, Arne and Giesselmann, Jan}, title = {A posteriori error control for a finite volume scheme for a cross-diffusion model of ion transport}, url = {https://opus4.kobv.de/opus4-trr154/597}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BirkeEngwerGiesselmannetal.2024, author = {Birke, Gunnar and Engwer, Christian and Giesselmann, Jan and May, Sandra}, title = {Error analysis of a first-order DoD cut cell method for 2D unsteady advection}, url = {https://opus4.kobv.de/opus4-trr154/596}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GiesselmannKwonLee2024, author = {Giesselmann, Jan and Kwon, Kiwoong and Lee, Min-Gi}, title = {Relative entropy technique in terms of position and momentum and its application to Euler-Poisson system}, url = {https://opus4.kobv.de/opus4-trr154/595}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{TopalovicHante2024, author = {Topalovic, Antonia and Hante, Falk M.}, title = {Stabilizing Model Predictive Control for Generalized Nash Equilibrium Problems using Approximation by α -quasi-GNEPs and Lyapunov End Cost}, url = {https://opus4.kobv.de/opus4-trr154/592}, pages = {6}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{AignerGoerigkHartischetal.2025, author = {Aigner, Kevin-Martin and Goerigk, Marc and Hartisch, Michael and Liers, Frauke and Miehlich, Arthur and R{\"o}sel, Florian}, title = {Feature Selection for Data-Driven Explainable Optimization}, url = {https://opus4.kobv.de/opus4-trr154/586}, pages = {21}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HildebrandGoess, author = {Hildebrand, Robert and G{\"o}ß, Adrian}, title = {Complexity of Integer Programming in Reverse Convex Sets via Boundary Hyperplane Cover}, url = {https://opus4.kobv.de/opus4-trr154/584}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GoessBurlacuMartin2025, author = {G{\"o}ß, Adrian and Burlacu, Robert and Martin, Alexander}, title = {Parabolic Approximation \& Relaxation for MINLP}, url = {https://opus4.kobv.de/opus4-trr154/582}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{AmerAvdzhievaBongartietal.2025, type = {Working Paper}, author = {Amer, Zeina and Avdzhieva, Ana and Bongarti, Marcelo and Dvurechensky, Pavel and Farrell, Patricio and Gotzes, Uwe and Hante, Falk M. and Karsai, Attila and Kater, Stefan and Liero, Matthias and Spreckelsen, Klaus and Taraz, Johannes and Peschka, Dirk and Plato, Luisa}, title = {Modeling Hydrogen Embrittlement for Pricing Degradation in Gas Pipelines}, url = {https://opus4.kobv.de/opus4-trr154/581}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GiesselmannKarsaiTscherpel, author = {Giesselmann, Jan and Karsai, Attila and Tscherpel, Tabea}, title = {Energy-consistent Petrov-Galerkin time discretization of port-Hamiltonian systems}, doi = {10.48550/arXiv.2404.12480}, url = {https://opus4.kobv.de/opus4-trr154/580}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{BreitenKarsai2023, author = {Breiten, Tobias and Karsai, Attila}, title = {Structure-preserving \$H_\infty\$ control for port-Hamiltonian systems}, doi = {10.1016/j.sysconle.2023.105493}, url = {https://opus4.kobv.de/opus4-trr154/576}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{Karsai, author = {Karsai, Attila}, title = {Manifold turnpikes of nonlinear port-Hamiltonian descriptor systems under minimal energy supply}, doi = {10.1007/s00498-024-00384-7}, url = {https://opus4.kobv.de/opus4-trr154/577}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{KarsaiBreitenRammeetal., author = {Karsai, Attila and Breiten, Tobias and Ramme, Justus and Schulze, Philipp}, title = {Nonlinear port-Hamiltonian systems and their connection to passivity}, doi = {10.48550/arXiv.2409.06256}, url = {https://opus4.kobv.de/opus4-trr154/578}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{BreitenKarsai, author = {Breiten, Tobias and Karsai, Attila}, title = {Passive feedback control for nonlinear systems}, doi = {10.48550/arXiv.2502.04987}, url = {https://opus4.kobv.de/opus4-trr154/579}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatSchuster2024, author = {Gugat, Martin and Schuster, Michael}, title = {Optimal Neumann Control of the Wave Equation with L1-Control Cost: The Finite-Time Turnpike Property}, series = {Optimization}, journal = {Optimization}, doi = {https://doi.org/10.1080/02331934.2024.2373904}, url = {https://opus4.kobv.de/opus4-trr154/568}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{AignerDenzlerLiersetal.2025, author = {Aigner, Kevin-Martin and Denzler, Sebastian and Liers, Frauke and Pokutta, Sebastian and Sharma, Kartikey}, title = {Scenario Reduction for Distributionally Robust Optimization}, url = {https://opus4.kobv.de/opus4-trr154/573}, pages = {36}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{StrubbergLutzBoerneretal.2025, author = {Strubberg, Lea and Lutz, Annette and B{\"o}rner, Pascal and Pfetsch, Marc and Skutella, Martin and Klimm, Max}, title = {Valid Cuts for the Design of Potential-based Flow Networks}, url = {https://opus4.kobv.de/opus4-trr154/571}, pages = {18}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BockdeBarillasHanteHintermueller2025, author = {Bock de Barillas, Paulina and Hante, Falk and Hinterm{\"u}ller, Michael}, title = {Exact relaxation in optimal switching control for the heat equation}, url = {https://opus4.kobv.de/opus4-trr154/570}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{Gugat2025, author = {Gugat, Martin}, title = {New Lyapunov functions for systems with source terms}, series = {Control and Cybernetics}, volume = {53}, journal = {Control and Cybernetics}, number = {1}, doi = {https://doi.org/10.2478/candc-2024-0008}, url = {https://opus4.kobv.de/opus4-trr154/572}, pages = {163 -- 187}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BreitenBurelaSchulze2025, author = {Breiten, Tobias and Burela, Shubhaditya and Schulze, Philipp}, title = {Optimal Control for a Class of Linear Transport-Dominated Systems via the Shifted Proper Orthogonal Decomposition}, url = {https://opus4.kobv.de/opus4-trr154/569}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{SchusterGugatSokolowski2024, author = {Schuster, Michael and Gugat, Martin and Sokolowski, Jan}, title = {The Location Problem for Compressor Stations in Pipeline Networks}, series = {Mathematics and Mechanics of Complex Systems}, volume = {12}, journal = {Mathematics and Mechanics of Complex Systems}, number = {4}, doi = {10.2140}, url = {https://opus4.kobv.de/opus4-trr154/567}, pages = {507 -- 546}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{Filipkovska2023, author = {Filipkovska, Maria}, title = {Qualitative analysis of nonregular differential-algebraic equations and the dynamics of gas networks}, volume = {19}, number = {4}, doi = {https://doi.org/10.15407/mag19.04.719}, url = {https://opus4.kobv.de/opus4-trr154/566}, pages = {719 -- 765}, year = {2023}, language = {en}, type = {Preprint}, institution = {TRR 154} } @inproceedings{BoernerPfetschUlbrich2024, author = {B{\"o}rner, Pascal and Pfetsch, Marc E. and Ulbrich, Stefan}, title = {Modeling and optimization of gas mixtures on networks}, url = {https://opus4.kobv.de/opus4-trr154/565}, pages = {6}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BernhardLiersStingl2024, author = {Bernhard, Daniela and Liers, Frauke and Stingl, Michael}, title = {Robust chance-constrained optimization with discrete distributions}, url = {https://opus4.kobv.de/opus4-trr154/564}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GiesselmannKunkel2024, author = {Giesselmann, Jan and Kunkel, Teresa}, title = {Identification of minimal number of measurements allowing synchronization of a nodal observer for the wave equation}, url = {https://opus4.kobv.de/opus4-trr154/562}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{WiertzWaltherZoettl, author = {Wiertz, Ann-Kathrin and Walther, Andrea and Z{\"o}ttl, Gregor}, title = {Strategic Retailers in the Energy Sector}, url = {https://opus4.kobv.de/opus4-trr154/561}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GiannakopoulosHahn2024, author = {Giannakopoulos, Yiannis and Hahn, Johannes}, title = {Discrete Single-Parameter Optimal Auction Design}, url = {https://opus4.kobv.de/opus4-trr154/560}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatQianSokolowski2024, author = {Gugat, Martin and Qian, Meizhi and Sokolowski, Jan}, title = {Network Design and Control: Shape and Topology Optimization for the Turnpike Property for the Wave Equation}, volume = {J. Geom. Anal.}, number = {34}, url = {https://opus4.kobv.de/opus4-trr154/559}, pages = {60}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{Lange2024, author = {Lange, Christian}, title = {Modeling and Optimal Control of the Flow of a Gas Mixture}, url = {https://opus4.kobv.de/opus4-trr154/558}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GugatSchusterSokolowski2024, author = {Gugat, Martin and Schuster, Michael and Sokolowski, Jan}, title = {Location Problem for Compressor Stations in Pipeline Networks}, url = {https://opus4.kobv.de/opus4-trr154/556}, pages = {34}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{Schuster2024, author = {Schuster, Michael}, title = {On the Convergence of Optimization Problems with Kernel Density Estimated Probabilistic Constraints}, url = {https://opus4.kobv.de/opus4-trr154/557}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HanteSchmidtTopalovic2024, author = {Hante, Falk M. and Schmidt, Martin and Topalovic, Antonia}, title = {Stabilizing GNEP-Based Model Predictive Control: Quasi-GNEPs and End Constraints}, url = {https://opus4.kobv.de/opus4-trr154/555}, pages = {26}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{Kuchlbauer, author = {Kuchlbauer, Martina}, title = {Outer approximation for generalized convex mixed-integer nonlinear robust optimization problems}, url = {https://opus4.kobv.de/opus4-trr154/551}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{ThueraufGruebelSchmidt2024, author = {Th{\"u}rauf, Johannes and Gr{\"u}bel, Julia and Schmidt, Martin}, title = {Adjustable Robust Nonlinear Network Design under Demand Uncertainties}, url = {https://opus4.kobv.de/opus4-trr154/550}, year = {2024}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{WilkaLang, author = {Wilka, Hendrik and Lang, Jens}, title = {Adaptive hp-Polynomial Based Sparse Grid Collocation Algorithms for Piecewise Smooth Functions with Kinks}, url = {https://opus4.kobv.de/opus4-trr154/549}, language = {en}, type = {Preprint}, institution = {TRR 154} } @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} }