3 papers
math.CA2023
Native spaces and generalization of Wu functions
Yixuan Huang, Zongmin Wu, Shengxin Zhu
We prove that the native space of a Wu function is a dense subspace of a Sobolev space. An explicit characterization of the native spaces of Wu functions is given. Three definition…
quant-ph2023
Quantum radial basis function method for the Poisson equation
Lingxia Cui, Zongming Wu, Hua Xiang
The radial basis function (RBF) method is used for the numerical solution of the Poisson problem in high dimension. The approximate solution can be found by solving a large system…
math.CA2017
Optimal order Jackson type inequality for scaled Shepard approximation
Steven Senger, Xingping Sun, Zongmin Wun
We study a variation of the Shepard approximation scheme by introducing a dilation factor into the base function, which synchronizes with the Hausdorff distance between the data se…