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cs.LG2024
A third-order finite difference weighted essentially non-oscillatory scheme with shallow neural network
Kwanghyuk Park, Xinjuan Chen, Dongjin Lee +2
In this paper, we introduce the finite difference weighted essentially non-oscillatory (WENO) scheme based on the neural network for hyperbolic conservation laws. We employ the sup…
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…