6 papers
Spherical configurations and quadrature methods for integral equations of the second kind
Congpei An, Hao-Ning Wu
In this paper, we propose and analyze a product integration method for the second-kind integral equation with weakly singular and continuous kernels on the unit sphere $\mathbb{S}^…
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions?
Congpei An, Hao-Ning Wu
Singular and oscillatory functions feature in numerous applications. The high-accuracy approximation of such functions shall greatly help us develop high-order methods for solving…
Stabilization of stochastic McKean-Vlasov equations with feedback control based on discrete-time state observation
Hao Wu, Junhao Hu, Shuaibin Gao +1
In this paper, we study the stability of solutions of stochastic McKean-Vlasov equations (SMVEs) via feedback control based on discrete-time state observation. By using a specific…
Stability of Numerical Solution to Pantograph Stochastic Functional Differential Equations
Hao Wu, Junhao Hu, Chenggui Yuan
In this paper, we study the convergence of the Euler-Maruyama numerical solutions for pantograph stochastic functional differential equations which was proposed in [11]. We also sh…
Lasso hyperinterpolation over general regions
Congpei An, Hao-Ning Wu
This paper develops a fully discrete soft thresholding polynomial approximation over a general region, named Lasso hyperinterpolation. This approximation is an -regularized…
The Numerical Stability of Regularized Barycentric Interpolation Formulae for Interpolation and Extrapolation
Congpei An, Hao-Ning Wu
The and regularized modified Lagrange interpolation formulae over are deduced in this paper. This paper mainly analyzes the numerical characteristics of…