| dc.contributor.advisor | Celledoni, Elena | |
| dc.contributor.advisor | Owren, Brynjulf | |
| dc.contributor.author | Murari, Davide | |
| dc.date.accessioned | 2024-09-24T10:33:42Z | |
| dc.date.available | 2024-09-24T10:33:42Z | |
| dc.date.issued | 2024 | |
| dc.identifier.isbn | 978-82-326-8317-8 | |
| dc.identifier.issn | 2703-8084 | |
| dc.identifier.uri | https://hdl.handle.net/11250/3153950 | |
| dc.language.iso | eng | en_US |
| dc.publisher | NTNU | en_US |
| dc.relation.ispartofseries | Doctoral theses at NTNU;2024:364 | |
| dc.relation.haspart | Paper 1: Celledoni, Elena; Murari, Davide; Owren, Brynjulf Rustad; Schonlieb, Carola-Bibiane; Sherry, Ferdia. Dynamical Systems - Based Neural Networks. SIAM Journal on Scientific Computing 2023 ;Volum 45.(6) s. A3071-A3094. Published by Society for Industrial and Applied Mathematics. Available at: http://dx.doi.org/10.1137/22M1527337 | en_US |
| dc.relation.haspart | Paper 2: Eliasof, Moshe; Murari, Davide; Schönlieb, Carola-Bibiane; Sherry, Ferdia. Resilient Graph Neural Networks: A Coupled Dynamical Systems Approach. Available at: https://doi.org/10.48550/arXiv.2311.06942 | en_US |
| dc.relation.haspart | Paper 3: Celledoni, Elena; Jackaman, James, Murari, Davide; Owren, Brynjulf. Predictions Based on Pixel Data: Insights from PDEs and Finite Differences. Available at: https://doi.org/10.48550/arXiv.2305.00723 | en_US |
| dc.relation.haspart | Paper 4: Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf. Lie Group integrators for mechanical systems. International Journal of Computer Mathematics 2021 s. 58-88. Published by Informa UK Limited, trading as Taylor & Francis Group This is an Open Access article distributed under the terms of the Creative Commons CC BY-NC-ND. Available at http://dx.doi.org/10.1080/00207160.2021.1966772 | en_US |
| dc.relation.haspart | Paper 5: Celledoni, Elena; Leone, Andrea; Murari, Davide; Owren, Brynjulf. Learning Hamiltonians of constrained mechanical systems. Journal of Computational and Applied Mathematics 2022 ;Volum 417. s. - Published by Elsevier B.V. This is an open access article under the CC BY license http://dx.doi.org/10.1016/j.cam.2022.114608 | en_US |
| dc.relation.haspart | Paper 6: Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Leyendecker, Sigrid; Owren, Brynjulf; de Almagro, Rodrigo T. Sato Martín; Stavole, Martina. Neural networks for the approximation of Euler’s elastica. https://doi.org/10.48550/arXiv.2312.00644 | en_US |
| dc.relation.haspart | Paper 7: Betcke, Marta; Kreusser, Lisa Maria; Murari, Davide. Parallel-in-Time Solutions with Extreme Learning Machines. Preprint. | en_US |
| dc.title | Neural Networks, Differential Equations, and Structure Preservation | en_US |
| dc.type | Doctoral thesis | en_US |
| dc.subject.nsi | VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410 | en_US |
