Geodesic
On application of special multivariate splines of any degree in the numerical analysis
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2010), pp. 146-153

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We give the basis and procedure of construction of special multivariate splines of any degree of Lagrange's type, named by $\lambda $-splines. They are under construction from multivariate interpolated algebraic polynomials of the fixed degree set on simplexes of special triangulation of a range of definition of initial function.
Mots-clés : interpolation, simplex
Keywords: approximation, multivariate spline, barycentric coordinate system. 
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     author = {V. I. Rodionov},
     title = {On application of special multivariate splines of any degree in the numerical analysis},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {146--153},
     publisher = {mathdoc},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2010_4_a15/}
}
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V. I. Rodionov. On application of special multivariate splines of any degree in the numerical analysis. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2010), pp. 146-153. http://geodesic.mathdoc.fr/item/VUU_2010_4_a15/