3 papers
math.NA2026
Hermite spectral approximation for functions with endpoint singularities using exponential transforms
Haiyong Wang
In this paper we introduce Hermite spectral approximation for functions with endpoint singularities using exponential transforms, including single exponential (SE), double exponent…
math.NA2025
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…
math.NA2018
Analysis of multivariate Gegenbauer approximation in the hypercube
Haiyong Wang, Lun Zhang
In this paper, we are concerned with multivariate Gegenbauer approximation of functions defined in the -dimensional hypercube. Two new and sharper bounds for the coefficients of…