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math.NA2026
Divergence-free interpolation of tangential vector fields via matrix-valued kernels
Zhengjie Sun, Lishuo Dong, Biao Huang
We develop and analyze a family of divergence-free kernel interpolation methods for tangential vector fields on the unit sphere. Starting from scalar radial kernels in Euclidean sp…
math.NA2026
Vector field multiplier operators and matrix-valued kernel quasi-interpolation
Zhengjie Sun, Biao Huang, Xingping Sun
We develop and analyze a class of matrix-valued spherical-convolution kernels stemming from scaled zonal functions on the unit sphere embedded in . Th…