Dynamics of the N-fold Pendulum in the framework of Lie Group Integrators. - Elena Celledoni; Ergys Çokaj; Andrea Leone; Davide Murari; Brynjulf Owren (CoRR, 2021)

Lie group integrators for mechanical systems. - Elena Celledoni; Ergys Çokaj; Andrea Leone; Davide Murari; Brynjulf Owren (Int. J. Comput. Math., 2022)

Designing Stable Neural Networks using Convex Analysis and ODEs. - Ferdia Sherry; Elena Celledoni; Matthias J. Ehrhardt; Davide Murari; Brynjulf Owren; Carola-Bibiane Schönlieb (CoRR, 2023)

Contractive Systems Improve Graph Neural Networks Against Adversarial Attacks. - Moshe Eliasof; Davide Murari; Ferdia Sherry; Carola-Bibiane Schönlieb (CoRR, 2023)

Neural networks for the approximation of Euler's elastica. - Elena Celledoni; Ergys Çokaj; Andrea Leone; Sigrid Leyendecker; Davide Murari; Brynjulf Owren; Rodrigo Takuro Sato Martín de Almagro; Martina Stavole (CoRR, 2023)

Learning Hamiltonians of constrained mechanical systems. - Elena Celledoni; Andrea Leone; Davide Murari; Brynjulf Owren (J. Comput. Appl. Math., 2023)

Dynamical Systems-Based Neural Networks. - Elena Celledoni; Davide Murari; Brynjulf Owren; Carola-Bibiane Schönlieb; Ferdia Sherry (SIAM J. Sci. Comput., 2023)

Resilient Graph Neural Networks: A Coupled Dynamical Systems Approach. - Moshe Eliasof; Davide Murari; Ferdia Sherry; Carola-Bibiane Schönlieb (ECAI, 2024)

Parallel-in-Time Solutions with Random Projection Neural Networks. - Marta M. Betcke; Lisa Maria Kreusser; Davide Murari (CoRR, 2024)

Hamiltonian Matching for Symplectic Neural Integrators. - Priscilla Canizares; Davide Murari; Carola-Bibiane Schönlieb; Ferdia Sherry; Zakhar Shumaylov (CoRR, 2024)

Symplectic Neural Flows for Modeling and Discovery. - Priscilla Canizares; Davide Murari; Carola-Bibiane Schönlieb; Ferdia Sherry; Zakhar Shumaylov (CoRR, 2024)

Predictions based on pixel data: Insights from PDEs and finite differences. - Elena Celledoni; James Jackaman; Davide Murari; Brynjulf Owren (J. Comput. Phys., 2025)

Approximation properties of neural ODEs. - Arturo De Marinis; Davide Murari; Elena Celledoni; Nicola Guglielmi; Brynjulf Owren; Francesco Tudisco (CoRR, 2025)

Enhancing Fourier Neural Operators with Local Spatial Features. - Chaoyu Liu; Davide Murari; Chris J. Budd; Lihao Liu; Carola-Bibiane Schönlieb (CoRR, 2025)

Approximation theory for 1-Lipschitz ResNets. - Davide Murari; Takashi Furuya; Carola-Bibiane Schönlieb (CoRR, 2025)