3 papers
math.NA2025
Higher-order multi-scale computational method and its convergence analysis for hygro-thermo-mechanical coupling problems of quasi-periodic composite structures
Hao Dong, Yifei Ding, Jiale Linghu +2
This paper proposes a novel higher-order multi-scale (HOMS) computational method, which is highly targeted for efficient, high-accuracy and low-computational-cost simulation of hyg…
math.NA2025
A Spectral Localization Method for Time-Fractional Integro-Differential Equations with Nonsmooth Data
Lijing Zhao, Rui Zhao, Wenyi Tian +1
In this work, we develop a localized numerical scheme with low regularity requirements for solving time-fractional integro-differential equations. First, a fully discrete numerical…
cs.NE2025
SO-PIFRNN: Self-optimization physics-informed Fourier-features randomized neural network for solving partial differential equations
Jiale Linghu, Weifeng Gao, Hao Dong +1
This study proposes a self-optimization physics-informed Fourier-features randomized neural network (SO-PIFRNN) framework, which significantly improves the numerical solving accura…