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03/31/2023
Implementation and (Inverse Modified) Error Analysis for implicitly-templated ODE-nets
We focus on learning unknown dynamics from data using ODE-nets templated...
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08/08/2022
Explicit K-symplectic methods for nonseparable non-canonical Hamiltonian systems
We propose efficient numerical methods for nonseparable non-canonical Ha...
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06/15/2022
On Numerical Integration in Neural Ordinary Differential Equations
The combination of ordinary differential equations and neural networks, ...
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05/11/2022
Poisson Integrators based on splitting method for Poisson systems
We propose Poisson integrators for the numerical integration of separabl...
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04/29/2022
VPNets: Volume-preserving neural networks for learning source-free dynamics
We propose volume-preserving networks (VPNets) for learning unknown sour...
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10/14/2019
Spectrally accurate space-time solution of Manakov systems
In this paper, we study the numerical solution of Manakov systems by usi...
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06/17/2019