id: 06001674
dt: j
an: 06001674
au: Xu, Yingxiang; Guan, Lütai; Xu, Weizhi
ti: Trivariate odd-degree polynomial natural spline interpolation for scattered
    data.
so: Math. Numer. Sin. 33, No. 1, 37-47 (2011).
py: 2011
pu: Chinese Academy of Sciences, Institute of Computational Mathematics and
    Scientific/Engineering Computing, Beijing
la: ZH
cc: 
ut: scattered data interpolation; trivariate odd-degree polynomials; natural
    spline
ci: 
li: 
ab: Summary: The aim of this paper is to solve the complicated interpolation
    problem for trivariate scattered data, a trivariate polynomial natural
    spline interpolation method is proposed. In the case of minimizing the
    objective functional with natural boundary conditions, the solution of
    the interpolation problem is constructed by spline function methods in
    Hilbert spaces, and which in every block is a trivariate odd-degree
    polynomial. Its expression is very simple and the coefficients can be
    decided by a linear system whose coefficient matrix is symmetric.
rv: