ON STABILITY OF m-VARIATE C^1 INTERPOLATION

作     者：J.Peters M.Sitharam 

作者机构：Department of Mathematics Rensselaer Polytechnic Institute Troy NY 12180-3590 U.S.A. Mathematical Sciences Kent State University KentOH 44242 U.S.A. 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：1993年第9卷第1期

页      面：18-32页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：ON STABILITY OF m VARIATE C~1 INTERPOLATION 

摘      要：*** mesh(triangulation)is constructed that generalizes the two-dimensional 4-direction mesh to R^*** mesh,with symmetric,shift-invariant values at the vertices,is shown to admit a bounded C^1 interpolant if and only if the alternating sum of the values at the vertices of any 1-cube is *** im- plies thai interpolation at the vertices of an m-dimensional,simplicial mesh by a C^1 piecewise polynomial of degree m+1 with one piece per simplex is unstable.