Aiqing Zhu

Qianxiao Li

CoRR, 2024

2023

Solving parametric elliptic interface problems via interfaced operator network.

[BibT_eX]

[DOI]

CoRR, 2023

Effective Numerical Simulations of Synchronous Generator System.

[BibT_eX]

[DOI]

CoRR, 2023

Implementation and (Inverse Modified) Error Analysis for implicitly-templated ODE-nets.

[BibT_eX]

[DOI]

Ioannis G. Kevrekidis

CoRR, 2023

2022

Approximation capabilities of measure-preserving neural networks.

[BibT_eX]

[DOI]

Neural Networks, 2022

VPNets: Volume-preserving neural networks for learning source-free dynamics.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2022

Error analysis based on inverse modified differential equations for discovery of dynamics using linear multistep methods and deep learning.

[BibT_eX]

[DOI]

Sidi Wu

CoRR, 2022

Explicit K-symplectic methods for nonseparable non-canonical Hamiltonian systems.

[BibT_eX]

[DOI]

CoRR, 2022

Poisson Integrators based on splitting method for Poisson systems.

[BibT_eX]

[DOI]

CoRR, 2022

On convergence of neural network methods for solving elliptic interface problems.

[BibT_eX]

[DOI]

Sidi Wu

Benzhuo Lu

CoRR, 2022

On Numerical Integration in Neural Ordinary Differential Equations.

[BibT_eX]

[DOI]

Proceedings of the International Conference on Machine Learning, 2022

2020

Unit Triangular Factorization of the Matrix Symplectic Group.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2020

SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems.

[BibT_eX]

[DOI]

George Em Karniadakis

Neural Networks, 2020

Inverse modified differential equations for discovery of dynamics.

[BibT_eX]

[DOI]

CoRR, 2020

Deep Hamiltonian networks based on symplectic integrators.

[BibT_eX]

[DOI]

CoRR, 2020

Symplectic networks: Intrinsic structure-preserving networks for identifying Hamiltonian systems.

[BibT_eX]

[DOI]

George Em Karniadakis