From the 1 of 4 linked papers with an AI index.
4 papers
Hermite spectral approximation for functions with endpoint singularities using exponential transforms
Haiyong Wang
The paper proposes Hermite spectral approximations for functions with endpoint singularities using single, double, and error‑function exponential transforms, provides convergence a…
Superconvergence points of Hermite spectral interpolation
Haiyong Wang, Zhimin Zhang
Hermite spectral method plays an important role in the numerical simulation of various partial differential equations (PDEs) on unbounded domains. In this work, we study the superc…
Convergence analysis of Hermite approximations for analytic functions
Haiyong Wang, Lun Zhang
In this paper, we present a rigorous analysis of root-exponential convergence of Hermite approximations, including projection and interpolation methods, for functions that are anal…
On the deterioration of convergence rate of spectral differentiations for functions with singularities
Haiyong Wang
Spectral differentiations are basic ingredients of spectral methods. In this work, we analyze the pointwise rate of convergence of spectral differentiations for functions containin…