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math.NA2025
Semi-Discrete in Time Method for Time-Dependent Equations by Random Neural Basis
Guihong Wang, Zheng-An Chen, Tao Luo
Neural network-based solvers for partial differential equations (PDEs) have attracted considerable attention, yet they often face challenges in accuracy and computational efficienc…
math.NA2023
Numerical Stability for Differential Equations with Memory
Guihong Wang, Yuqing Li, Tao Luo +3
In this work, we systematically investigate linear multi-step methods for differential equations with memory. In particular, we focus on the numerical stability for multi-step meth…