2 papers
math.NA2024
A Numerical Study of WENO Approximations to Sharp Propagating Fronts for Reaction-Diffusion Systems
Jiaxi Gu, Daniel Olmos-Liceaga, Jae-Hun Jung
Many reaction-diffusion systems in various applications exhibit traveling wave solutions that evolve on multiple spatio-temporal scales. These traveling wave solutions are crucial…
math.NA2024
Explicit radial basis function Runge-Kutta methods
Jiaxi Gu, Xinjuan Chen, Jae-Hun Jung
The aim of this paper is to design the explicit radial basis function (RBF) Runge-Kutta methods for the initial value problem. We construct the two-, three- and four-stage RBF Rung…