Youngjoon Hong

CoRR, 2023

Unsupervised Legendre-Galerkin Neural Network for Solving Partial Differential Equations.

[BibT_eX]

[DOI]

Junho Choi

Namjung Kim

IEEE Access, 2023

Separable Physics-Informed Neural Networks.

[BibT_eX]

[DOI]

Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023

PIXEL: Physics-Informed Cell Representations for Fast and Accurate PDE Solvers.

[BibT_eX]

[DOI]

Proceedings of the Thirty-Seventh AAAI Conference on Artificial Intelligence, 2023

2022

Convergence analysis of unsupervised Legendre-Galerkin neural networks for linear second-order elliptic PDEs.

[BibT_eX]

[DOI]

Seungchan Ko

Seok-Bae Yun

CoRR, 2022

Separable PINN: Mitigating the Curse of Dimensionality in Physics-Informed Neural Networks.

[BibT_eX]

[DOI]

CoRR, 2022

Semi-analytic PINN methods for singularly perturbed boundary value problems.

[BibT_eX]

[DOI]

Gung-Min Gie

CoRR, 2022

Unsupervised Legendre-Galerkin Neural Network for Stiff Partial Differential Equations.

[BibT_eX]

[DOI]

Junho Choi

Namjung Kim

CoRR, 2022

Invertible Monotone Operators for Normalizing Flows.

[BibT_eX]

[DOI]

Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

2021

Accelerating Optimal Experimental Design for Robust Synchronization of Uncertain Kuramoto Oscillator Model Using Machine Learning.

[BibT_eX]

[DOI]

IEEE Trans. Signal Process., 2021

A Rigorous Numerical Analysis of the Transformed Field Expansion Method for Diffraction by Periodic, Layered Structures.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2021

Optimal Experimental Design for Uncertain Systems Based on Coupled Differential Equations.

[BibT_eX]

[DOI]

Bongsuk Kwon

Byung-Jun Yoon

IEEE Access, 2021

Search-and-Attack: Temporally Sparse Adversarial Perturbations on Videos.

[BibT_eX]

[DOI]

IEEE Access, 2021

2020

Numerical Simulations of the Two-Dimensional Inviscid Hydrostatic Primitive Equations with Humidity and Saturation.

[BibT_eX]

[DOI]

J. Sci. Comput., 2020

Enriched numerical scheme for singularly perturbed barotropic Quasi-Geostrophic equations.

[BibT_eX]

[DOI]

Mickaël D. Chekroun

Roger Temam

J. Comput. Phys., 2020

Deep neural network for solving differential equations motivated by Legendre-Galerkin approximation.

[BibT_eX]

[DOI]

CoRR, 2020

Robust Neural Networks Inspired by Strong Stability Preserving Runge-Kutta Methods.

[BibT_eX]

[DOI]

Proceedings of the Computer Vision - ECCV 2020, 2020

2018

Enriched Spectral Method for Stiff Convection-Dominated Equations.

[BibT_eX]

[DOI]

J. Sci. Comput., 2018

A high-order perturbation of surfaces method for vector electromagnetic scattering by doubly layered periodic crossed gratings.

[BibT_eX]

[DOI]

J. Comput. Phys., 2018

2017

A high-order perturbation of surfaces method for scattering of linear waves by periodic multiply layered gratings in two and three dimensions.

[BibT_eX]

[DOI]

J. Comput. Phys., 2017

A stable high-order perturbation of surfaces method for numerical simulation of diffraction problems in triply layered media.

[BibT_eX]

[DOI]

J. Comput. Phys., 2017

2016

Global attractor of atmospheric equations.

[BibT_eX]

[DOI]

Asymptot. Anal., 2016

2015

Numerical Approximation of the Singularly Perturbed Heat Equation in a Circle.

[BibT_eX]

[DOI]

J. Sci. Comput., 2015

2014

On the numerical approximations of stiff convection-diffusion equations in a circle.

[BibT_eX]

[DOI]

Roger Temam

Numerische Mathematik, 2014

A higher order Finite Volume resolution method for a system related to the inviscid primitive equations in a complex domain.

[BibT_eX]

[DOI]

Numerische Mathematik, 2014

2013

Singularly perturbed reaction-diffusion equations in a circle with numerical applications.

[BibT_eX]

[DOI]

Jacques Laminie

Int. J. Comput. Math., 2013

2012

Analysis of a Penalty Method.

[BibT_eX]

[DOI]

Qingshan Chen