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05/01/2023
Predictions Based on Pixel Data: Insights from PDEs and Finite Differences
Neural networks are the state-of-the-art for many approximation tasks in...
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12/09/2022
Preconditioned Krylov solvers for structure-preserving discretisations
A key consideration in the development of numerical schemes for time-dep...
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07/06/2021
Invariant Variational Schemes for Ordinary Differential Equations
We propose a novel algorithmic method for constructing invariant variati...
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08/31/2020
Discrete conservation laws for finite element discretisations of multisymplectic PDEs
In this work we propose a new, arbitrary order space-time finite element...
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07/01/2019