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math.NA2025
Normalized Fourier-induced PINN method for solving the wave propagation equation in a non-unitized domain over an extended time range
Jichao Ma, Dandan Liu, Jinran Wu +1
Physics-Informed Neural Networks (PINNs) have gained significant attention for their simplicity and flexibility in engineering and scientific computing. In this study, we introduce…
math.NA2023
Augmented physics informed extreme learning machine to solve the biharmonic equations via Fourier expansions
Xi'an Li, Jinran Wu, Yujia Huang +4
To address the sensitivity of parameters and limited precision for physics-informed extreme learning machines (PIELM) with common activation functions, such as sigmoid, tangent, an…
math.NA2023★ 1 cited
Solving a class of multi-scale elliptic PDEs by means of Fourier-based mixed physics informed neural networks
Xi'an Li, Jinran Wu, You-Gan Wang +2
Deep neural networks have garnered widespread attention due to their simplicity and flexibility in the fields of engineering and scientific calculation. In this study, we probe int…