Výsledky vyhledávání

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A Data-Driven Framework for Discovering Fractional Differential Equations in Complex Systems

Autor: Yu, Xiangnan, Xu, Hao, Mao, Zhiping, Sun, HongGuang, Zhang, Yong, Zhang, Dongxiao, Chen, Yuntian

In complex physical systems, conventional differential equations often fall short in capturing non-local and memory effects, as they are limited to local dynamics and integer-order interactions. This study introduces a stepwise data-driven framework

Externí odkaz: http://arxiv.org/abs/2412.03970

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Operator Learning Enhanced Physics-informed Neural Networks for Solving Partial Differential Equations Characterized by Sharp Solutions

Autor: Lin, Bin, Mao, Zhiping, Wang, Zhicheng, Karniadakis, George Em

Physics-informed Neural Networks (PINNs) have been shown as a promising approach for solving both forward and inverse problems of partial differential equations (PDEs). Meanwhile, the neural operator approach, including methods such as Deep Operator

Externí odkaz: http://arxiv.org/abs/2310.19590

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Akademický článek

Tend to one's own house: The effect of firm CSR on employee effort.

Autor: Douthit, Jeremy¹ (AUTHOR) jdouthit2@arizona.edu, Mao, Zhiping² (AUTHOR), Martin, Patrick³ (AUTHOR)

Publikováno v: Contemporary Accounting Research. Dec2024, Vol. 41 Issue 4, p2488-2513. 26p.

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Physics-informed neural networks with residual/gradient-based adaptive sampling methods for solving PDEs with sharp solutions

Autor: Mao, Zhiping, Meng, Xuhui

We consider solving the forward and inverse PDEs which have sharp solutions using physics-informed neural networks (PINNs) in this work. In particular, to better capture the sharpness of the solution, we propose adaptive sampling methods (ASMs) based

Externí odkaz: http://arxiv.org/abs/2302.08035

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Analysis and Hermite spectral approximation of diffusive-viscous wave equations in unbounded domains arising in geophysics

Autor: Ling, Dan, Mao, Zhiping

The diffusive-viscous wave equation (DVWE) is widely used in seismic exploration since it can explain frequency-dependent seismic reflections in a reservoir with hydrocarbons. Most of the existing numerical approximations for the DVWE are based on do

Externí odkaz: http://arxiv.org/abs/2211.04690

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