Wenwu Gao
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View article: Quasi-interpolation for the Helmholtz-Hodge decomposition
Quasi-interpolation for the Helmholtz-Hodge decomposition Open
The paper aims at proposing an efficient and stable quasi-interpolation based method for numerically computing the Helmholtz-Hodge decomposition of a vector field. To this end, we first explicitly construct a matrix kernel in a general for…
View article: Quasi-interpolation for high-dimensional function approximation
Quasi-interpolation for high-dimensional function approximation Open
The paper proposes a general quasi-interpolation scheme for high-dimensional function approximation. To facilitate error analysis, we view our quasi-interpolation as a two-step procedure. In the first step, we approximate a target function…
View article: Spherical quasi-interpolation using scaled zonal kernels
Spherical quasi-interpolation using scaled zonal kernels Open
We propose and study a new quasi-interpolation method on spheres featuring the following two-phase construction and analysis. In Phase I, we analyze and characterize a large family of zonal kernels (e.g., the spherical version of Poisson k…
View article: High-order quasi-interpolation with generalized Gaussian kernels restricted over tori
High-order quasi-interpolation with generalized Gaussian kernels restricted over tori Open
The paper proposes a novel and efficient quasi-interpolation scheme with high approximation order for periodic function approximation over tori. The resulting quasi-interpolation takes the form of Schoenberg's tensor-product generalized Ga…
View article: Analysis of influencing factors on soil Zn content using generalized additive model
Analysis of influencing factors on soil Zn content using generalized additive model Open