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whenrui hao

Pennsylvania State University

University Park, PA

United States

SCHOLARLY PAPERS

6

DOWNLOADS

415

TOTAL CITATIONS

0

Scholarly Papers (6)

1.

An Imbalanced Learning-Based Sampling Method for Physics-Informed Neural Networks

Number of pages: 31 Posted: 16 Sep 2024
Duke Kunshan University, Duke Kunshan University, Pennsylvania State University, Duke Kunshan University and Pennsylvania State University
Downloads 97 (715,072)

Abstract:

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Sampling method, Imbalanced learning, Physics-informed neural networks

2.

Companion-Based Multi-Level Finite Element Method for Computing Multiple Solutions of Nonlinear Differential Equations

Number of pages: 26 Posted: 28 Sep 2023
whenrui hao, Sun Lee and Young Ju Lee
Pennsylvania State University, affiliation not provided to SSRN and Texas State University
Downloads 87 (765,566)

Abstract:

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Elliptic Semilinear PDEs, finite element method, Multiple Solutions

3.

Laplacian Eigenfunction-Based Neural Operator for Learning Nonlinear Reaction–Diffusion Dynamics

Number of pages: 46 Posted: 07 May 2025
Jindong Wang and whenrui hao
Pennsylvania State University - Penn State and Pennsylvania State University
Downloads 78 (830,555)

Abstract:

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operator learning, nonlinear reaction-diffusion problem, Laplacian eigenfunction, physics-informed machine learning, data-driven PDE discovery

4.

An Imbalanced Learning-Based Sampling Method Forphysics-Informed Neural Networks

Number of pages: 30 Posted: 03 Sep 2024
Duke Kunshan University, Pennsylvania State University, Duke Kunshan University, Duke Kunshan University and Pennsylvania State University
Downloads 66 (942,565)

Abstract:

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Sampling method, Imbalanced learning, Physics-informed neural networks

5.

On Pattern Formation in the Thermodynamically-Consistent Variational Gray-Scott Model

Number of pages: 18 Posted: 10 Sep 2024
whenrui hao, Chun Liu, Yiwei Wang and Yahong Yang
Pennsylvania State University, Illinois Institute of Technology, University of California, Riverside (UCR) and Pennsylvania State University
Downloads 52 (1,052,702)

Abstract:

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Variational Gray-Scott models, Energetic variational approach, Reaction-diffusion systems, Pattern formation, Transient pattern

6.

Hompinns: Homotopy Physics-Informed Neural Networks for Solving the Inverse Problems of Nonlinear Differential Equations with Multiple Solutions

Number of pages: 18 Posted: 17 Apr 2023
Purdue University, affiliation not provided to SSRN, University of Michigan at Ann Arbor, Pennsylvania State University and Purdue University - Department of Mathematics
Downloads 35 (1,263,436)

Abstract:

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Machine learning, Physics-informed neural networks, Nonlinear DEs, Multiple solutions, Homotopy continuation method