1 citations · 2 across the 5 of their papers we have counts for
Showing math.NAShow all
3 papers · 1 filter
math.NA2019
Numerical meshless solution of high-dimensional sine-Gordon equations via Fourier HDMR-HC approximation
Xin Xu, Xiaopeng Luo, Herschel Rabitz
In this paper, an implicit time stepping meshless scheme is proposed to find the numerical solution of high-dimensional sine-Gordon equations (SGEs) by combining the high dimension…
math.NA2019★ 1 cited
Meshless Hermite-HDMR finite difference method for high-dimensional Dirichlet problems
Xiaopeng Luo, Xin Xu, Herschel Rabitz
In this paper, a meshless Hermite-HDMR finite difference method is proposed to solve high-dimensional Dirichlet problems. The approach is based on the local Hermite-HDMR expansion…
math.NA2019
Sparse residual tree and forest
Xin Xu, Xiaopeng Luo
Sparse residual tree (SRT) is an adaptive exploration method for multivariate scattered data approximation. It leads to sparse and stable approximations in areas where the data is…