4 papers
Global Existence for General Systems of Isentropic Gas Dynamics via a Weighted Pressure Perturbation Approach
Kewang Chen
We establish the global existence of weak entropy solutions for 1D isentropic gas dynamics with general pressure laws (). To address vacuum degeneracy, we introduce a novel s…
The Dynamical Anatomy of Anderson Acceleration:From Adaptive Momentum to Variable-Mass ODEs
Kewang Chen, Yongqiu Jiang, Kees Vuik
This paper provides a rigorous derivation and analysis of accelerated optimization algorithms through the lens of High-Resolution Ordinary Differential Equations (ODEs). While clas…
Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system
Ke Chen, Anita Yang, Mingying Zhong
In the present paper, we study the diffusion limit of the strong solution to the one-species Vlasov-Maxwell-Boltzmann (VMB) system with initial data near a global Maxwellian. Based…
A short report on preconditioned Anderson acceleration method
Kewang Chen, Ye Ji, Matthias Möller +1
In this report, we present a versatile and efficient preconditioned Anderson acceleration (PAA) method for fixed-point iterations. The proposed framework offers flexibility in bala…