2 papers
cs.LG2026
LLM-PDESR: Robust PDE Discovery via Subdomain Weighted Residuals and LLM-Guided Symbolic Hypothesis Generation
Jinyang Du, Hao Ma, Xiaohu Shi +4
Discovering governing partial differential equations (PDEs) from noisy observational data is a fundamental challenge in scientific machine learning. Traditional symbolic regression…
gr-qc2026
Solving Hamiltonian Constraint Equation with Physics-Informed Neural Networks
Yu-Chen Zhou, Hao Ma, Zhoujian Cao +6
Numerical relativity (NR), solving Einstein equation numerically, plays an important role in source modelling for gravitational wave astronomy. Traditional methods for NR including…