My academic publications and preprints Link to heading

My ResearchGate page is here .

Published works Link to heading

  • Celledoni, E., Çokaj, E., Leone, A., Leyendecker, S., Murari, D., Owren, B., de Almagro, R.T. and Stavole, M. (2025). Neural Networks for the Approximation of Euler’s Elastica. Computer Methods in Applied Mechanics and Engineering, 435, 117584
  • Celledoni, E., Murari, D., Owren, B., Schönlieb, C. B., & Sherry, F. (2023). Dynamical systems–based neural networks. SIAM Journal on Scientific Computing, 45(6), A3071-A3094.
  • Celledoni, E., Çokaj, E., Leone, A., Murari, D., & Owren, B. (2022). Lie Group integrators for mechanical systems. International Journal of Computer Mathematics, 99(1), 58-88.
  • Celledoni, E., Leone, A., Murari, D., Owren, B., (2022). Learning Hamiltonians of constrained mechanical systems. Journal of Computational and Applied Mathematics, 114608, ISSN 0377-0427, https://doi.org/10.1016/j.cam.2022.114608
  • Celledoni, E., Çokaj, E., Leone, A., Murari, D., & Owren, B. (2021). Dynamics of the N-fold Pendulum in the framework of Lie Group Integrators. In European Consortium for Mathematics in Industry (pp. 297-304). Cham: Springer International Publishing.

Preprints Link to heading

  • Murari, D., & Sansonetto, N. (2025). From Euler-Jacobi to Bogoyavlensky and back. arXiv preprint arXiv:2503.21950.
  • Liu, C., Murari, D., Budd, C., Liu, L., & Schönlieb, C. B. (2025). Enhancing Fourier Neural Operators with Local Spatial Features. arXiv preprint arXiv:2503.17797.
  • De Marinis, A., Murari, D., Celledoni, E., Guglielmi, N., Owren, B., & Tudisco, F. (2025). Approximation properties of neural ODEs. arXiv preprint arXiv:2503.15696.
  • Betcke, M. M., Kreusser, L. M., & Murari, D. (2024). Parallel-in-Time Solutions with Random Projection Neural Networks. arXiv preprint arXiv:2408.09756.
  • Celledoni, E., Jackaman, J., Murari, D., & Owren, B. (2023). Predictions Based on Pixel Data: Insights from PDEs and Finite Differences. arXiv preprint arXiv:2305.00723.

Non-archival reports Link to heading

  • Murari, D., Celledoni, E., Owren, B., Schönlieb, C. B., & Sherry, F. Structure preserving neural networks based on ODEs. In The Symbiosis of Deep Learning and Differential Equations II.