@unpublished{GoessBurlacuMartin2025, author = {G{\"o}ß, Adrian and Burlacu, Robert and Martin, Alexander}, title = {Parabolic Approximation \& Relaxation for MINLP}, url = {https://opus4.kobv.de/opus4-trr154/582}, year = {2025}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HildebrandGoess, author = {Hildebrand, Robert and G{\"o}ß, Adrian}, title = {Complexity of Integer Programming in Reverse Convex Sets via Boundary Hyperplane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} } @techreport{SchmidtSirventWollner2017, author = {Schmidt, Martin and Sirvent, Mathias and Wollner, Winnifried}, title = {A Decomposition Method for MINLPs with Lipschitz Continuous Nonlinearities}, series = {Mathematical Programming}, journal = {Mathematical Programming}, number = {178(1)}, url = {https://opus4.kobv.de/opus4-trr154/145}, pages = {449 -- 483}, year = {2017}, 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} } @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} } @techreport{GugatKeimerLeugeringetal.2015, author = {Gugat, Martin and Keimer, Alexander and Leugering, G{\"u}nter and Wang, Zhiqiang}, title = {Analysis of a system of nonlocal conservation laws for multi-commodity flow on networks}, series = { Networks and Heterogeneous Media}, volume = {10}, journal = { Networks and Heterogeneous Media}, number = {4}, editor = {Piccoli, Benedetto}, doi = {DOI: 10.3934/nhm.2015.10.749}, url = {https://opus4.kobv.de/opus4-trr154/93}, pages = {749 -- 785}, year = {2015}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatLeugering2015, author = {Gugat, Martin and Leugering, G{\"u}nter}, title = {Time delay in optimal control loops for wave equations}, series = {ESAIM: COCV}, journal = {ESAIM: COCV}, editor = {Zuazua, Enrique}, doi = {http://dx.doi.org/10.1051/cocv/2015038}, url = {https://opus4.kobv.de/opus4-trr154/95}, year = {2015}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatWintergerstSchultz2016, author = {Gugat, Martin and Wintergerst, David and Schultz, R{\"u}diger}, title = {Networks of pipelines for gas with nonconstant compressibility factor: stationary states}, series = {Computational and Applied Mathematics}, journal = {Computational and Applied Mathematics}, editor = {Iske, Armin}, doi = {10.1007/s40314-016-0383-z}, url = {https://opus4.kobv.de/opus4-trr154/96}, year = {2016}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{BaermannLiersMartinetal.2015, author = {B{\"a}rmann, Andreas and Liers, Frauke and Martin, Alexander and Merkert, Maximilian and Thurner, Christoph and Weninger, Dieter}, title = {Solving network design problems via iterative aggregation}, series = {Mathematical Programming Computation}, volume = {7}, journal = {Mathematical Programming Computation}, number = {2}, doi = {10.1007/s12532-015-0079-1}, url = {https://opus4.kobv.de/opus4-trr154/97}, pages = {189 -- 217}, year = {2015}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BaermannGellermannMerkertetal.2016, author = {B{\"a}rmann, Andreas and Gellermann, Thorsten and Merkert, Maximilian and Schneider, Oskar}, title = {Staircase Compatibility and its Applications in Scheduling and Piecewise Linearization}, url = {https://opus4.kobv.de/opus4-trr154/99}, pages = {24}, year = {2016}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{SchmidtAssmannBurlacuetal.2017, author = {Schmidt, Martin and Aßmann, Denis and Burlacu, Robert and Humpola, Jesco and Joormann, Imke and Kanelakis, Nikolaos and Koch, Thorsten and Oucherif, Djamal and Pfetsch, Marc E. and Schewe, Lars and Schwarz, Robert and Sirvent, Mathias}, title = {GasLib - A Library of Gas Network Instances}, series = {Data}, volume = {4}, journal = {Data}, number = {2}, doi = {10.3390/data2040040}, url = {https://opus4.kobv.de/opus4-trr154/168}, pages = {18}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @periodical{Leugering2017, author = {Leugering, G{\"u}nter}, title = {Domain Decomposition of an Optimal Control Problem for Semi-Linear Elliptic Equations on Metric Graphs with Application to Gas Networks}, volume = {8}, issn = {2152-7393}, doi = {https://doi.org/10.4236/am.2017.88082}, url = {https://opus4.kobv.de/opus4-trr154/175}, pages = {1074-1099}, year = {2017}, subject = {28}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{HanteLeugeringMartinetal.2016, author = {Hante, Falk and Leugering, G{\"u}nter and Martin, Alexander and Schewe, Lars and Schmidt, Martin}, title = {Challenges in optimal control problems for gas and fluid flow in networks of pipes and canals: From modeling to industrial applications}, url = {https://opus4.kobv.de/opus4-trr154/121}, pages = {40}, year = {2016}, 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{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} } @techreport{GrimmMartinSchmidtetal.2016, author = {Grimm, Veronika and Martin, Alexander and Schmidt, Martin and Weibelzahl, Martin and Z{\"o}ttl, Gregor}, title = {Transmission and generation investment in electricity markets: The effects of market splitting and network fee regimes}, series = {European Journal of Operational Research}, volume = {254}, journal = {European Journal of Operational Research}, number = {2}, doi = {10.1016/j.ejor.2016.03.044}, url = {https://opus4.kobv.de/opus4-trr154/109}, pages = {493 -- 509}, year = {2016}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatLeugeringMartinetal.2018, author = {Gugat, Martin and Leugering, G{\"u}nter and Martin, Alexander and Schmidt, Martin and Sirvent, Mathias and Wintergerst, David}, title = {Towards Simulation Based Mixed-Integer Optimization with Differential Equations}, series = {Networks}, journal = {Networks}, doi = {10.1002/net.21812}, url = {https://opus4.kobv.de/opus4-trr154/63}, pages = {24}, year = {2018}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{SirventKanelakisGeissleretal.2017, author = {Sirvent, Mathias and Kanelakis, Nikolaos and Geißler, Bj{\"o}rn and Biskas, Pandelis}, title = {A Linearized Model for the Optimization of the Coupled Electricity and Natural Gas System}, series = {Journal of Modern Power Systems and Clean Energy}, volume = {5}, journal = {Journal of Modern Power Systems and Clean Energy}, number = {3}, doi = {10.1007/s40565-017-0275-2}, url = {https://opus4.kobv.de/opus4-trr154/64}, pages = {364 -- 374}, year = {2017}, language = {en}, type = {Preprint}, institution = {TRR 154} } @techreport{GugatLeugeringHante2015, author = {Gugat, Martin and Leugering, G{\"u}nter and Hante, Falk}, title = {Stationary States in Gas Networks}, series = {Networks and Heterogeneous Media}, volume = {10}, journal = {Networks and Heterogeneous Media}, number = {2}, editor = {Piccoli, Benedetto}, doi = {doi:10.3934/nhm.2015.10.295}, url = {https://opus4.kobv.de/opus4-trr154/73}, pages = {295 -- 320}, year = {2015}, 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} } @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} } @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} } @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{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{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{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} } @techreport{ReussWelderThueraufetal.2019, author = {Reuß, Markus and Welder, Lara and Th{\"u}rauf, Johannes and Linßen, Jochen and Grube, Thomas and Schewe, Lars and Schmidt, Martin and Stolten, Detlef and Robinius, Martin}, title = {Modeling Hydrogen Networks for Future Energy Systems: A Comparison of Linear and Nonlinear Approaches}, series = {International Journal of Hydrogen Energy}, journal = {International Journal of Hydrogen Energy}, doi = {10.1016/j.ijhydene.2019.10.080}, url = {https://opus4.kobv.de/opus4-trr154/453}, year = {2019}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{GrimmHintermuellerHuberetal., author = {Grimm, Veronika and Hinterm{\"u}ller, Michael and Huber, Olivier and Schewe, Lars and Schmidt, Martin and Z{\"o}ttl, Gregor}, title = {A PDE-Constrained Generalized Nash Equilibrium Approach for Modeling Gas Markets with Transport}, url = {https://opus4.kobv.de/opus4-trr154/458}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{CattaruzzaLabbePetrisetal.2021, author = {Cattaruzza, Diego and Labb{\´e}, Martine and Petris, Matteo and Roland, Marius and Schmidt, Martin}, title = {Exact and Heuristic Solution Techniques for Mixed-Integer Quantile Minimization Problems}, url = {https://opus4.kobv.de/opus4-trr154/467}, pages = {35}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{BeckLjubicSchmidt2021, author = {Beck, Yasmine and Ljubic, Ivana and Schmidt, Martin}, title = {Exact Methods for Discrete Γ-Robust Interdiction Problems with an Application to the Bilevel Knapsack Problem}, url = {https://opus4.kobv.de/opus4-trr154/471}, pages = {39}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{HalbigHuembsRoeseletal.2021, author = {Halbig, Katrin and H{\"u}mbs, Lukas and R{\"o}sel, Florian and Schewe, Lars and Weninger, Dieter}, title = {Computing optimality certificates for convex mixed-integer nonlinear problems}, url = {https://opus4.kobv.de/opus4-trr154/476}, year = {2021}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{AignerSchaumannvonLoeperetal., author = {Aigner, Kevin-Martin and Schaumann, Peter and von Loeper, Freimut and Martin, Alexander and Schmidt, Volker and Liers, Frauke}, title = {Robust DC Optimal Power Flow with Modeling of Solar Power Supply Uncertainty via R-Vine Copulas}, url = {https://opus4.kobv.de/opus4-trr154/480}, language = {en}, type = {Preprint}, institution = {TRR 154} } @unpublished{Leugering2022, author = {Leugering, G{\"u}nter}, title = {Nonoverlapping Domain Decomposition for Instantaneous Optimal Control of Friction Dominated Flow in a Gas-Network}, url = {https://opus4.kobv.de/opus4-trr154/482}, pages = {15}, 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} } @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} } @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{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{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{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{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} } @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} } @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} } @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} } @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} } @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} }