2 citations · 4 across the 4 of their papers we have counts for
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Solving PDEs on Surfaces of Pipe Geometries Using New Coordinate Transformations and High-order Compact Finite Differences
Shuaifei Hu, Yujian Jiao, Desong Kong +1
We introduce suitable coordinate systems for pipes and their variants that allow us to transform partial differential equations (PDEs) on the pipe surfaces or in the solid pipes in…
Pointwise error estimates and local superconvergence of Jacobi expansions
Shuhuang Xiang, Desong Kong, Guidong Liu +1
As one myth of polynomial interpolation and quadrature, Trefethen [30] revealed that the Chebyshev interpolation of (with ) at the Clenshaw-Curtis points exhibited…
Eigenvalue Analysis and Applications of the Legendre Dual-Petrov-Galerkin Methods for Initial Value Problems
Desong Kong, Jie Shen, Li-Lian Wang +1
In this paper, we show that the eigenvalues and eigenvectors of the spectral discretisation matrices resulted from the Legendre dual-Petrov-Galerkin (LDPG) method for the th-ord…
Fast linear barycentric rational interpolation for singular functions via scaled transformations
Desong Kong, Shuhuang Xiang
In this paper, applied strictly monotonic increasing scaled maps, a kind of well-conditioned linear barycentric rational interpolations are proposed to approximate functions of sin…