2 citations · 2 across the 8 of their papers we have counts for
8 papers
A Fourier-Aware Projection-Based Periodic Parareal Method for Time-Periodic Problems
Chenyi Tan, Yuncheng Xu, Yehao Zhang +1
Time-periodic problems arise when the desired solution is a periodic steady state rather than a transient trajectory. The periodic parareal algorithm with a periodic coarse problem…
Existence of pure capillary solitary waves in constant vorticity flows
Ting-Yang Hsiao, Zhengjun Liang, Giang To +1
We prove that the finite-depth pure-capillary rigidity mechanism in the irrotational water-wave problem is destroyed by a suitable constant-vorticity critical shear. More precisely…
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 cycles in dynamical systems and periodic steady states in radio frequency c…
Nash Equilibrium and Belief Evolution in Differential Games
Jiangjing Zhou, Ovanes Petrosian, Ye Zhang +1
This study investigates differential games with motion-payoff uncertainty in continuous-time settings. We propose a framework where players update their beliefs about uncertain par…
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…
Asymptotic solution for three-dimensional reaction-diffusion-advection equation with periodic boundary conditions
Aleksei Liubavin, Mingkang Ni, Ye Zhang +1
In this study, we investigate the dynamics of moving fronts in three-dimensional spaces, which form as a result of in-situ combustion during oil production. This phenomenon is also…
Reinforcement-learning-based Algorithms for Optimization Problems and Applications to Inverse Problems
Chen Xu, Yun-Bin Zhao, Zhipeng Lu +1
We design a new iterative algorithm, called REINFORCE-OPT, for solving a general type of optimization problems. This algorithm parameterizes the solution search rule and iterativel…