SFB 1481 B06
Kinetische Theorie trifft auf algebraische Systemtheorie (B06)
| Coordinator | Professor Dr. Michael Herty ; Professorin Dr. Eva Zerz |
| Grant period | 2022 - |
| Funding body | Deutsche Forschungsgemeinschaft |
| DFG | |
| Identifier | G:(GEPRIS)504292976 |
⇧ SFB 1481 Sparsity und singuläre Strukturen ⇧
Note: Wir studieren interagierende Teilchenmodelle, die durch GDGen der Dimension N gegeben sind, ihre kinetischen und fluid-dynamischen PDG-Limits, wenn N gegen unendlich geht, und strukturelle Eigenschaften, die sich von den kontrollierten GDGen auf ihre PDG-Gegenstücke übertragen. Der Fokus liegt auf nicht-additiver Steuerung (Transformer), Dynamik 2. Ordnung (Schwarmverhalten) und stochastischen Systemen (konsensbasierte Optimierung). Wir untersuchen die Skalierbarkeit der GDG-Systeme, die Steuerbarkeit von PDG-Strukturen, fluid-dynamische Hierarchien und deterministisch-stochastische Übergänge.All known publications ...
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Journal Article
Sparse reconstruction of multi-dimensional kinetic distributions
Kinetic and related models 20, 80-104 (2025) [10.3934/krm.2025022]
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Journal Article
Sparse control in microscopic and mean-field leader-follower models
AIMS mathematics 10(8), 19147-19172 (2025) [10.3934/math.2025856]
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Dissertation / PhD Thesis
Invariant zero sets for first and second order nonlinear ODE systems
Aachen : RWTH Aachen University 1 Online-Ressource (2025) [10.18154/RWTH-2025-09487] = Dissertation, RWTH Aachen University, 2025
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Journal Article
Exponential turnpike property for particle systems and mean-field limit
European journal of applied mathematics 36(5), 993-1011 (2025) [10.1017/S0956792524000871]
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Journal Article/Contribution to a book
Recent kernel methods for interacting particle systems: first numerical results
European journal of applied mathematics 36(2), 464-489 (2024) [10.1017/S0956792524000706] special issue: "From integro-differential models to data-oriented approaches for emergent phenomena / Seung-Yeal Ha; Qin Li; Andrea Tosin; Mattia Zanella"
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Journal Article/Contribution to a conference proceedings
Controlled invariant varieties for second order polynomial control systems
26. International Symposium on Mathematical Theory of Networks and Systems, MTNS 2024, CambridgeCambridge, UK, 19 Aug 2024 - 23 Aug 2024
IFAC-PapersOnLine 58(17), 368-373 (2024) [10.1016/j.ifacol.2024.10.197] special issue: "26th International Symposium on Mathematical Theory of Networks and Systems MTNS 2024 : Cambridge, United Kingdom, August 19-23, 2024 / edited by Rodolphe Sepulchre, Malcolm C. Smith"
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Journal Article
A Microscopic On-Ramp Model Based on Macroscopic Network Flows
Applied Sciences 14(19), 9111 (2024) [10.3390/app14199111]
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Journal Article/Contribution to a book
A Central Scheme for Two Coupled Hyperbolic Systems
Communications on applied mathematics and computation 6(4), 2093-2118 (2023) [10.1007/s42967-023-00306-5] special issue: "Focused Issue in Honor of Prof.Dr. Gerald Warnecke on His 65th Birthday"
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Journal Article/Contribution to a conference proceedings
Invariant sets for a class of nonlinear control systems tractable by symbolic computation
22. IFAC World Congress, IFAC 2023, YokohamaYokohama, Japan, 9 Jul 2023 - 14 Jul 2023
IFAC-PapersOnLine 56(2), 3899-3903 (2023) [10.1016/j.ifacol.2023.10.1324] special issue: "22nd IFAC World Congress: Yokohama, Japan, July 9-14, 2023 / Edited by Hideaki Ishii, Yoshio Ebihara, Jun-ichi Imura, Masaki Yamakita"
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Journal Article/Contribution to a conference proceedings
Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws
92. Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2022, AachenAachen, Germany, 15 Aug 2022 - 19 Aug 2022
Proceedings in applied mathematics and mechanics : PAMM 23(1), e202200150 (2023) [10.1002/pamm.202200150] special issue: "Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) / Issue Edited by: Ch. Böhm, K. Mang, B. Markert, S. Reese, M. Schmidtchen, J. Waimann, M. Kaliske"
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All known publications ...
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