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20232026
most citedFailure-informed adaptive sampling for PINNs, Part II: combining with re-sampling and subset simulation

2 citations · 2 across the 6 of their papers we have counts for

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math.NA2026

CI-PINN: Causal Integral Physics-Informed Neural Network for Solving Evolution Equations

Xiaodong Feng, Ziyu Sun, Tao Tang +2

Physics-informed neural networks (PINNs) solve partial differential equations (PDEs) by incorporating governing physical laws into the training loss. For evolution equations, howev…

math.NA2026

A semi-generating function approach to the stability of implicit-explicit multistep methods for nonlinear parabolic equations

Hong-lin Liao, Chaoyu Quan, Tao Tang +1

The rigorous stability analysis of high-order implicit-explicit linear multistep (IELM) methods for nonlinear parabolic equations by using discrete energy arguments is a long stand…