Davide Murari

Publications

Neural networks for the approximation of Euler’s elastica

E Celledoni, E Çokaj, A Leone, S Leyendecker, D Murari, B Owren, RTSM de Almagro, M Stavole

– Computer Methods in Applied Mechanics and Engineering

(2024)

435,

117584

(doi: 10.1016/j.cma.2024.117584)

Hamiltonian Matching for Symplectic Neural Integrators

P Canizares, D Murari, C-B Schönlieb, F Sherry, Z Shumaylov

(2024)

(link to publication)

Parallel-in-Time Solutions with Random Projection Neural Networks

MM Betcke, LM Kreusser, D Murari

(2024)

(link to publication)

Designing stable neural networks using convex analysis and ODEs

F Sherry, E Celledoni, MJ Ehrhardt, D Murari, B Owren, CB Schönlieb

– Physica D Nonlinear Phenomena

(2024)

463,

134159

(doi: 10.1016/j.physd.2024.134159)

Dynamical Systems–Based Neural Networks

E Celledoni, D Murari, B Owren, CB Schonlieb, F Sherry

– SIAM Journal on Scientific Computing

(2023)

45,

A3071

(doi: 10.1137/22M1527337)

Neural networks for the approximation of Euler's elastica

E Celledoni, E Çokaj, A Leone, S Leyendecker, D Murari, B Owren, RTSMD Almagro, M Stavole

(2023)

(link to publication)

Resilient Graph Neural Networks: A Coupled Dynamical Systems Approach

M Eliasof, D Murari, F Sherry, C-B Schönlieb

(2023)

(link to publication)

Designing Stable Neural Networks using Convex Analysis and ODEs

F Sherry, E Celledoni, MJ Ehrhardt, D Murari, B Owren, C-B Schönlieb

(2023)

(link to publication)

Predictions Based on Pixel Data: Insights from PDEs and Finite Differences

E Celledoni, J Jackaman, D Murari, B Owren

(2023)

(link to publication)

Learning Hamiltonians of constrained mechanical systems

E Celledoni, A Leone, D Murari, B Owren

– Journal of Computational and Applied Mathematics

(2023)

417,

114608

(doi: 10.1016/j.cam.2022.114608)

Department of Applied Mathematics and Theoretical Physics

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