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DATAHYKING

Data-driven simulation, uncertainty quantification and optimization for hyperbolic and kinetic models

Grant period2023-03-01 - 2027-02-28
Funding bodyEuropean Union
Call numberHORIZON-MSCA-2021-DN-01
Grant number101072546
IdentifierG:(EU-Grant)101072546

Note: Europe faces major challenges in science, society and industry, induced by the complexity of our dynamically evolving world. To tackle these challenges, mathematical models and computer simulations are indispensable, for instance to design and optimize systems using virtual prototypes. Moreover, while the big data revolution provides additional possibilities, it is currently unclear how to optimally combine simulation results with observation data into a digital. Many systems of interest consist of large numbers of particles with highly non-trivial interaction (e.g., fine dust in pollution, vehicles in mobility). However, to date, computer simulation of such systems is usually done with highly approximate (macroscopic) models to reduce computational complexity. Facing these challenges without sacrificing the complexity of the underlying particle interactions requires a fundamentally new type of scientist that uses an interdisciplinary approach and a solid mathematical underpinning. Hence, we aim at training a new generation of modeling and simulation experts to develop virtual experimentation tools and workflows that can reliably and efficiently exploit the potential of mathematical modeling and simulation of interacting particle systems. To this end, we create a data-driven simulation framework for kinetic models of interacting particle systems, and define a common methodology for these future modeling and simulation experts. The network focuses on (i) reliable and efficient simulation; (ii) robust consensus-based optimisation, also for machine learning; (iii) multifidelity methodes for uncertainty quantification and Bayesian inference; and (iv) applications in fluid flow, traffic flow, and finance, also in collaboration with industry. Moreover, the proposed EJD program will create a closely connected new generation of highly demanded European scientists, and initiate long-term partnerships to exploit synergy between academic and industrial partners.
   

Recent Publications

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Source identification in bioluminescence tomography by consensus-based optimization
Optics express 33(16), 33312-33329 () [10.1364/OE.546936]  GO OpenAccess BibTeX | EndNote: XML, Text | RIS

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png 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 () [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"  GO BibTeX | EndNote: XML, Text | RIS

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint  ;
A numerical method for solving the generalized tangent vector of hyperbolic systems
20 Seiten () [10.48550/arXiv.2412.04251]  GO OpenAccess   Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article  ;  ;  ;
The turnpike property for high‐dimensional interacting agent systems in discrete time
Optimal control, applications and methods 45(6), 2557-2571 () [10.1002/oca.3172]  GO OpenAccess  Download fulltext Files BibTeX | EndNote: XML, Text | RIS

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article/Contribution to a book  ;  ;
A Central Scheme for Two Coupled Hyperbolic Systems
Communications on applied mathematics and computation 6(4), 2093-2118 () [10.1007/s42967-023-00306-5] special issue: "Focused Issue in Honor of Prof.Dr. Gerald Warnecke on His 65th Birthday"  GO OpenAccess  Download fulltext Files BibTeX | EndNote: XML, Text | RIS

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png 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 20222022-08-152022-08-19 Proceedings in applied mathematics and mechanics : PAMM 23(1), e202200150 () [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"  GO OpenAccess  Download fulltext Files BibTeX | EndNote: XML, Text | RIS

All known publications ...
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 Record created 2023-02-24, last modified 2023-08-26
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