From the 1 of 7 linked papers with an AI index.
4 papers · 1 filter
A Fourier-Aware Projection-Based Periodic Parareal Method for Time-Periodic Problems
Chenyi Tan, Yuncheng Xu, Yehao Zhang +1
The paper introduces a Fourier‑aware projection technique to speed up the periodic parareal algorithm for solving time‑periodic problems, providing convergence analysis and demonst…
Multistep Methods for Floquet Multipliers and Subspaces
Yehao Zhang, Yuncheng Xu, Chenyi Tan +1
Accurate and efficient computation of Floquet multipliers and subspaces is essential for analyzing limit cycle in dynamical systems and periodic steady state in Radio Frequency sim…
Deep asymptotic expansion method for solving singularly perturbed time-dependent reaction-advection-diffusion equations
Qiao Zhu, Dmitrii Chaikovskii, Bangti Jin +1
Physics-informed neural network (PINN) has shown great potential in solving partial differential equations. However, it faces challenges when dealing with problems involving steep…
Internal layer solutions and coefficient recovery in time-periodic reaction-diffusion-advection equations
Dmitrii Chaikovskii, Ye Zhang, Aleksei Liubavin
This article investigates the non-stationary reaction-diffusion-advection equation, emphasizing solutions with internal layers and the associated inverse problems. We examine a non…