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physics.comp-ph2026
Learning Spectrally Optimised Mesh-Free Discretisations
Lucas Gerken Starepravo, Henry Broadley, Steven Lind +1
Numerical methods for partial differential equations (PDEs) discretise differential operators, ideally reproducing the action of the continuous operators across all wavenumbers per…
physics.comp-ph2025
Exploring Neural Network Surrogates for High-Order Mesh-Free Interpolants
Lucas Gerken Starepravo, Georgios Fourtakas, Steven Lind +2
Mesh-free numerical methods offer flexibility in the discretisation of complex geometries, showing significant potential for problems where mesh-based methods struggle. Although hi…