15 citations · 59 across the 16 of their papers we have counts for
16 papers
Large deviation for slow-fast McKean-Vlasov stochastic differential equations driven by fractional Brownian motions and Brownian motions
Hao Wu, Junhao Hu, Chenggui Yuan
In this article, we consider slow-fast McKean-Vlasov stochastic differential equations driven by Brownian motions and fractional Brownian motions. We give a definition of the large…
Breaking quadrature exactness: A spectral method for the Allen--Cahn equation on spheres
Hao-Ning Wu, Xiaoming Yuan
We present a novel spectral method for the Allen-Cahn equation on spheres, eliminating the reliance on conventional quadrature exactness conditions. By replacing these conditions w…
A Uniquely Solvable, Positivity-Preserving and Unconditionally Energy Stable Numerical Scheme for the Functionalized Cahn-Hilliard Equation with Logarithmic Potential
Wenbin Chen, Jianyu Jing, Hao Wu
We propose and analyze a first-order finite difference scheme for the functionalized Cahn-Hilliard (FCH) equation with a logarithmic Flory-Huggins potential. The semi-implicit nume…
McKean-Vlasov multivalued stochastic differential equations with oblique subgradients and related stochastic control problems
Hao Wu, Junhao Hu, Chenggui Yuan
In this article, we prove the existence of weak solutions as well as the existence and uniqueness of strong solutions for McKean-Vlasov multivalued stochastic differential equation…
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…
On the quadrature exactness in hyperinterpolation
Congpei An, Hao-Ning Wu
This paper investigates the role of quadrature exactness in the approximation scheme of hyperinterpolation. Constructing a hyperinterpolant of degree requires a positive-weight…
Absolute Bounds for Ergodic Deviations of Toral Translations Relative to Triangles in
Hao Wu
Following Beck's work on toral translations relative to straight boxes in , we prove a weaker upper bound and the same lower bound for ergodic discrepancies of toral…
Almost Sure Bounds for Discrepancies of Linear Forms on the Circle
Hao Wu
As a generalization of irrational rotations and a dual case of higher-dimensional Kronecker sequences, we study the discrepancy of sequences of linear forms on the circle. Given ir…
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…
The springback penalty for robust signal recovery
Congpei An, Hao-Ning Wu, Xiaoming Yuan
We propose a new penalty, the springback penalty, for constructing models to recover an unknown signal from incomplete and inaccurate measurements. Mathematically, the springback p…
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…
Uniform Spanning Tree in Topological Polygons, Partition Functions for SLE(8), and Correlations in Logarithmic CFT
Mingchang Liu, Eveliina Peltola, Hao Wu
We find explicit SLE(8) partition functions for the scaling limits of Peano curves in the uniform spanning tree (UST) in topological polygons with general boundary conditions. They…
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…
Tikhonov regularization for polynomial approximation problems in Gauss quadrature points
Congpei An, Hao-Ning Wu
This paper is concerned with the introduction of Tikhonov regularization into least squares approximation scheme on by orthonormal polynomials, in order to handle noisy da…
On the Mass-Conserving Allen-Cahn Approximation for Incompressible Binary Fluids
Andrea Giorgini, Maurizio Grasselli, Hao Wu
This paper is devoted to the global well-posedness of two Diffuse Interface systems modeling the motion of an incompressible two-phase fluid mixture in presence of capillarity effe…
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…