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math.NA2025
DDC-PINNs: A Predictor-Corrector Approach Based on Neural Network-Driven Domain Decomposition and Classical ODE Solvers for Time-Dependent PDEs
Xun Yang, Guanqiu Ma, Maohua Ran
When solving time-dependent partial differential equations (PDEs), traditional physics-informed neural networks (PINNs) may encounter several challenges. In particular, standard PI…
math.NA2025
Imaging a moving point source in R^3 from the time of arrival at sparse observation points
Guanqiu Ma, Haonan Zhang, Hongxia Guo
In this paper, we introduce a novel numerical method for reconstructing the trajectory within three-dimensional space, where both the emission moment and spatial location of the po…