Forschungsbericht 2025

Mathematik E-10

Leitung: Lindner, Marko; Taraz, Anusch; Le Borne, Sabine; Ruprecht, Daniel; Schulte, Matthias
Oberingenieure: Bünger, Florian; Clemens, Dennis; Götschel, Sebastian; Seifert, Christian; Zemke, Jens

Institut auf TORE
Institutswebsite

Publikationen

• Parallel performance of shared memory parallel spectral deferred corrections - Journal Article
  Freese, Jan Philip; Götschel, Sebastian; Lunet, Thibaut; Ruprecht, Daniel; Schreiber, Martin
  The International Journal of High Performance Computing Applications (in Press): (2025)
  Publisher DOI
  
  
• RBF-FD discretization of the Oseen equations - Journal Article
  Koch, Michael; Le Borne, Sabine
  Journal of Computational Physics 542: 114375 (2025)
  Open Access | Publisher DOI
  
  
• Gershgorin-type spectral inclusions for matrices - Journal Article
  Chandler-Wilde, Simon N.; Lindner, Marko
  Linear Algebra and its Applications 732: 33-73 (2026)
  Open Access | Publisher DOI
  
  
• First passage percolation on Erdős–Rényi graphs with general weights - Journal Article
  Daly, Fraser; Schulte, Matthias; Shneer, Seva
  The Annals of Applied Probability 35 (6): 4213-4243 (2025)
  Publisher DOI
  
  
• Disentangled latent spaces for reduced order models using deterministic autoencoders - Journal Article
  Schwarz, Henning; Lin, Pyei Phyo; Zemke, Jens; Rung, Thomas
  Computers & Fluids 302: 106837 (2025)
  Open Access | Publisher DOI
  
  
• Vector-valued Fourier hyperfunctions and boundary values - Journal Article
  Kruse, Karsten
  Kyoto Journal of Mathematics: 1-65 (2025)
  Publisher DOI
  
  
• Poisson approximation for cycles in the generalised random graph - Journal Article
  Lienau, Matthias
  Journal of Applied Probability (in Press): (2025)
  Publisher DOI
  
  
• Dickman approximation of weighted sums of independent random variables in the Kolmogorov distance - Journal Article
  Bhattacharjee, Chinmoy; Schulte, Matthias
  Annals of Applied Probability 35 (5): 3271-3309 (2025)
  Publisher DOI
  
  
• Graph convolutional neural network assisted Monte Carlo Tree Search for the Capacitated Vehicle Routing Problem with Time Windows - Book Part
  Dornemann, Jorin; Klein, Tobias
  AIRO Springer Series 15: 243-253 (2025)
  Publisher DOI
  
  
• On Sinkhorn's DAD theorem and the self-consistency equation in COSMO-based activity coefficient models - Journal Article
  Bünger, Florian; Soares, Rafael
  Linear and multilinear algebra 73 (17): 3791–3808 (2025)
  Open Access | Publisher DOI
  
  
• On Neumann-Poincaré operators and self-adjoint transmission problems - Journal Article
  Benhellal, Badreddine; Pankrashkin, Konstantin
  Revista Matematica Complutense (in Press): (2025)
  Publisher DOI
  
  
• A novel data concept for cutting processes through comprehensive experimental setup enabling grey-box models - Journal Article
  Schibsdat, Sebastian; Wu, Ya-Jing; Keunecke, Martin; Baron, Sarah; Höche, Daniel; Zemke, Jens; Götschel, Sebastian; Herrmann, Christoph; Dege, Jan Hendrik
  Wear 582-583: 206348 (2025)
  Open Access | Publisher DOI
  
  
• Constructions for positional games and applications to domination games - Preprint
  Bagdas, Ali Deniz; Clemens, Dennis; Hamann, Fabian; Mogge, Yannick
  arXiv: 2509.05089 (2025)
  Open Access | Publisher DOI
  
  
• Creating spanning trees in waiter-client games - Journal Article
  Adamski, Grzegorz; Antoniuk, Sylwia; Bednarska-Bzdęga, Małgorzata; Clemens, Dennis; Hamann, Fabian; Mogge, Yannick
  The Electronic Journal of Combinatorics 32 (3): P3.35 (2025)
  Open Access | Publisher DOI
  
  
• The radial spanning tree in hyperbolic space: degree and edge-length* - Journal Article
  Rosen, Daniel; Schulte, Matthias; Thäle, Christoph; Trapp, Vanessa
  Electronic journal of probability 30: 120 (2025)
  Open Access | Publisher DOI
  
  
• Maker playing against an invisible Breaker - Preprint
  Clemens, Dennis; Hamann, Fabian; Mikalački, Mirjana; Mogge, Yannick; Stojaković, Miloš
  arXiv: 2507.22519 (2025)
  Open Access | Publisher DOI
  
  
• On Schrödinger operators with oblique transmission conditions on non-smooth curves - Journal Article
  Benhellal, Badreddine; Camarasa, Miguel; Pankrashkin, Konstantin
  Integral Equations and Operator Theory 97 (3): 22 (2025)
  Publisher DOI
  
  
• Relevance of the Basset history term for Lagrangian particle dynamics - Journal Article
  Urizarna Carasa, Julio; Ruprecht, Daniel; Kameke, Alexandra von; Padberg-Gehle, Kathrin
  Chaos 35 (7): 073122 (2025)
  Publisher DOI
  
  
• Improved error bounds for floating-point quotients - Journal Article
  Bünger, Florian
  IEEE Transactions on Computers 74 (11): 3559-3567 (2025)
  Publisher DOI
  
  
• Pathwise uniform convergence of time discretization schemes for SPDEs - Journal Article
  Klioba, Katharina; Veraar, Mark
  IMA journal of numerical analysis 45 (4): 2060-2131 (2025)
  Open Access | Publisher DOI
  
  
• Space-time parallel scaling of Parareal with a physics-informed Fourier Neural Operator coarse propagator applied to the Black-Scholes equation - Conference Paper
  Ibrahim, Abdul Qadir; Götschel, Sebastian; Ruprecht, Daniel
  Platform for Advanced Scientific Computing Conference, PASC 2025
  Open Access | Publisher DOI
  
  
• A hybrid quantum-inspired and deep learning approach for the capacitated vehicle routing problem with time windows - Conference Paper
  Dornemann, Jorin; Shaglel, Salwa; Kliesch, Martin; Taraz, Anusch
  19th Learning and intelligent optimization conference, LION19 2025
  Publisher DOI
  
  
• Non-intrusive reduced order modeling of patient-specific cochlear implantations - Journal Article
  Bensel, Fynn; Kipping, Daniel; Reiber, Marlis; Zhang, Yixuan; Nackenhorst, Udo; Nogueira, Waldo
  IEEE Transactions on Biomedical Engineering 72 (11): 3391-3403 (2025)
  Publisher DOI
  
  
• Randomized algorithms to generate hypergraphs with given degree sequences - Journal Article
  Ascolese, Michela; Lienau, Matthias; Schulte, Matthias; Taraz, Anusch
  Electronic Journal of Combinatorics 32 (2): P2.15 (2025)
  Open Access | Publisher DOI
  
  
• Adaptive On-the-fly Scan Method for Fast and Efficient Planar Near-field Acquisition - Journal Article
  Yang, Cheng; Monopoli, Tomas; Götschel, Sebastian; Wu, Xinglong; Grassi, Flavia; Schuster, Christian
  IEEE Antennas and Wireless Propagation Letters 24 (8): 2143-2147 (2025)
  Publisher DOI
  
  
• Dynamic deep learning based super-resolution for the shallow water equations - Journal Article
  Witte, Maximilian; Rodrigues Lapolli, Fabricio; Freese, Jan Philip; Götschel, Sebastian; Ruprecht, Daniel; Korn, Peter; Kadow, Christopher
  Machine Learning: Science and Technology 6 (1): 015060 (2025)
  Open Access | Publisher DOI
  
  
• On linearization and uniqueness of preduals - Journal Article
  Kruse, Karsten
  Mathematische Nachrichten 298 (3): 955-975 (2025)
  Open Access | Publisher DOI
  
  
• Fast perfekt: regression-based refinement of fast simulation - Journal Article
  Wolf, Moritz; Stietz, Lars; Connor, Patrick L. S.; Schleper, Peter; Bein, Samuel
  SciPost Physics Core 8 (021): (2025)
  Open Access | Publisher DOI
  
  
• Improving efficiency of parallel across the method spectral deferred corrections - Journal Article
  Caklovi, Gayatri; Lunet, Thibaut; Götschel, Sebastian; Ruprecht, Daniel
  SIAM Journal on Scientific Computing 47 (1): A430-A453 (2025)
  Open Access | Publisher DOI
  
  
• Efficient numerical methods for the Maxey-Riley-Gatignol equations with Basset history term - Journal Article
  Urizarna Carasa, Julio; Schlegel, Leon; Ruprecht, Daniel
  Computer Physics Communications 310: 109502 (2025)
  Open Access | Publisher DOI
  
  
• Large components in the subcritical Norros-Reittu model - Journal Article
  Lienau, Matthias; Schulte, Matthias
  Extremes 28: 301–343 (2025)
  Open Access | Publisher DOI
  
  
• Deep learning assisted heuristics and exact methods for the vehicle routing problem with side constraints - Doctoral Thesis
  Dornemann, Jorin
  Technische Universität Hamburg (2025)
  Open Access
  
  
• Spectral deferred correction methods for second-order problems - Doctoral Thesis
  Akramov, Ikrom
  Technische Universität Hamburg (2025)
  Open Access
  
  
• Tree universality in positional games - Journal Article
  Adamski, Grzegorz; Antoniuk, Sylwia; Bednarska-Bzdga, Małgorzata; Clemens, Dennis; Hamann, Fabian; Mogge, Yannick
  Combinatorics Probability and Computing 34 (3): 338-358 (2025)
  Publisher DOI
  
  
• Machine Learning Based Prediction of Ditching Loads - Journal Article
  Schwarz, Henning; Überrück, Micha; Zemke, Jens; Rung, Thomas
  AIAA Journal 63 (5): 1835-1854 (2025)
  Publisher DOI
  
  
• A block householder based algorithm for the QR decomposition of hierarchical matrices - Doctoral Thesis
  Griem, Vincent Eric
  Technische Universität Hamburg (2025)
  Open Access
  
  
• Efficient numerical implementations for the Maxey-Riley-Gatignol Equation - Doctoral Thesis
  Urizarna Carasa, Julio
  Technische Universtität Hamburg (2025)
  Open Access
  
  
• Bathymetry reconstruction in shallow water using PDE-constrained optimisation and its acceleration through parallel-in-time methods - Doctoral Thesis
  Angel, Judith
  Technische Universität Hamburg (2025)
  Open Access
  
  
• Variants of Maker-Breaker games on complete and random graphs - Doctoral Thesis
  Mogge, Yannick
  Technische Universität Hamburg (2025)
  Open Access
  
  
• Large components in inhomogeneous random graphs - Doctoral Thesis
  Lienau, Matthias
  Technische Universität Hamburg (2025)
  Open Access
  
  
• Smaller stencil preconditioners for linear systems in RBF-FD discretizations - Journal Article
  Koch, Michael; Le Borne, Sabine; Leinen, Willi
  Numerical Algorithms 98 (3): 1313–1335 (2025)
  Open Access | Publisher DOI
  
  
• Theoretical and algorithmic aspects of Discrete Geometry: inverse problems and tilings of the plane - Doctoral Thesis
  Ascolese, Michela
  Technische Universität Hamburg (2025)
  Open Access
  
  
• Fourier neural operators to reconstruct tumor perfusion from 4D ultrasound data - Master Thesis
  Deimel, Judith
  Technische Universität Hamburg (2025)
  Open Access
  
  
• Perturbation properties of the generalized spectral radius - Journal Article
  Bünger, Florian; Seeger, Alberto
  Linear and Multilinear Algebra 73 (4): 633-648 (2025)
  Open Access | Publisher DOI
  
  
• Ramsey simplicity of random graphs - Journal Article
  Boyadzhiyska, Simona; Clemens, Dennis; Das, Shagnik; Gupta, Pranshu
  Combinatorics Probability and Computing 34 (2): 298-320 (2025)
  Open Access | Publisher DOI
  
  
• Finite element analysis of stem migration after total hip replacement - Journal Article
  Reiber, Marlis; Bensel, Fynn; Becker, Nils; Budde, Stefan; Nackenhorst, Udo
  Biomechanics and modeling in mechanobiology 24: 1619–1631 (2025)
  Open Access | Publisher DOI
  
  
• Construction of hierarchical matrices for the preconditioning of the three-dimensional Navier-Stokes equations - Doctoral Thesis
  Grams, Jonas David
  Technische Universität Hamburg (2025)
  Open Access
  
  
• HOOU an der TU Hamburg : Jahresbericht 2024 - Text
  Alff, Thies Lennart; Blessing, Benjamin; Bock, Katrin; Carels, Fabian; Coordes, Marcus; Henkel, Moritz; Contreras-Campana, Christian Javier; Oliveira-Guglielmi, Paula de; Hausig, Malte; Hofmann, Alexander; Holm, Malte; Kitzberger, Magdalena; Kaiser, Jan; Kruber, Kai; Leyva Amezcua, Leonardo; Lüssenhop, Phillipp; Musawi, Anusch; Rose, Jana Maria-Magdalena; Panke, Jana; Rehman, Hanan; Shahgoli, Selva; Shenoy, Sucheth; Seidelmann, Maren; Schmeckpeper, Dennis; Scherpe, Erik; Schäfers, Johannes; Schielein, Dorothee; Weber, Valentin Severin; Wichmann, Stephanie; Zeeden, Kasimir
  Technische Universität Hamburg (2025)
  Open Access
  
  
• Adaptive time step selection for spectral deferred correction - Journal Article
  Saupe, Thomas; Götschel, Sebastian; Lunet, Thibaut; Ruprecht, Daniel; Speck, Robert
  Numerical Algorithms 100 (1): 369-393 (2025)
  Open Access | Publisher DOI
  
  

Projekte

• DASHH - Helmholtz Graduate School for the Structure of Matter
  Helmholtz-Zentrum Hereon; Laufzeit 2025-2030
  Projektleitung: Ruprecht, Daniel
  Externe beteiligte Einrichtungen: Deutsches Elektronen-Synchrotron DESY; Helmholtz-Zentrum Hereon; Helmholtz-Zentrum für Infektionsforschung GmbH; Universität Hamburg; Helmut-Schmidt-Universität; European X Ray Free Electron Laser Facility GmbH; Max Planck Society; Hochschule für Angewandte Wissenschaften Hamburg
  
  
• InterBed - A 3D DCE-US Interconnected Voxel Analysis Framework for Bedside Characterization of Tumor Vascular Properties in Liver Malignancies
  National Institutes of Health; Laufzeit 2024-2027
  Projektleitung: Götschel, Sebastian; Kaffas, Ahmed El; Hristov, Dimitre; Chen, Shigao
  Mitarbeitende: Bensel, Fynn; Externbrink, Sophie
  Externe beteiligte Einrichtungen: Stanford University; University of California, San Diego; Mayo Clinic
  
  
• SPP 2265: Grenzwertsätze für stabilisierende Funktonale
  Deutsche Forschungsgemeinschaft (DFG); Laufzeit 2024-2027
  Projektleitung: Schulte, Matthias
  
  
• NeuralPinT
  European Union; Laufzeit 2024-2025
  Projektleitung: Ruprecht, Daniel
  Externe beteiligte Einrichtungen: Forschungszentrum Jülich
  
  
• SFB 1615 - Teilprojekt A08: Lagrangesche Bauelemente mit einem validierten Modell zur Vielteilchen-Positionsbestimmung
  Deutsche Forschungsgemeinschaft (DFG); Laufzeit 2023-2027
  Projektleitung: Ruprecht, Daniel; Trieu, Hoc Khiem
  Mitarbeitende: Götschel, Sebastian; Gomberg, Ilja; Bohne, Sven; Rathi, Vamika; Sommer, Finn Luca; Geläschus, Anton Ulrich
  
  
• SPP 2402: Extrapolationsfähige digitale Greybox-Modelle zur Beschreibung und Vorhersage des makroskopischen Systemverhaltens TiAlN-beschichteter Zerspanwerkzeuge
  Deutsche Forschungsgemeinschaft (DFG); Laufzeit 2023-2026
  Projektleitung: Dege, Jan Hendrik; Zemke, Jens; Herrmann, Christoph; Höche, Daniel
  Mitarbeitende: Schibsdat, Sebastian
  Externe beteiligte Einrichtungen: Technische Universität Braunschweig; Helmholtz-Zentrum Hereon
  
  
• ExaOcean - Leistungsverbesserung des ICON-O Ozeanmodells auf heterogenen Exascale-Supercomputern mit Methoden des Maschinellen Lernens
  Bundesministerium für Forschung, Technologie und Raumfahrt (BMFTR); Laufzeit 2022-2025
  Projektleitung: Ruprecht, Daniel
  Externe beteiligte Einrichtungen: Max Planck Society; Deutsches Klimarechenzentrum; Forschungszentrum Jülich
  
  
• GRK 2583: Modellierung, Simulation und Optimierung mit fluiddynamischen Anwendungen
  Deutsche Forschungsgemeinschaft (DFG); Laufzeit 2020-2026
  Projektleitung: Rung, Thomas
  Co-Projektleitung: Le Borne, Sabine
  Mitarbeitende: Müller, Peter Marvin; Beddig, Rebekka Salome; Koch, Michael
  
  
• DASHH Helmholtz Graduiertenkolleg
  Helmholtz-Zentrum Hereon; Laufzeit 2019-2025
  Projektleitung: Le Borne, Sabine