Rational shape functions for C1-interpolation on quadrilaterals
نویسندگان
چکیده
منابع مشابه
Triangular C Interpolation by Rational Functions
Two general local C triangular interpolation schemes by rational functions from C data are proposed for any nonnegative integer m. The schemes can have either 2m + 1 order algebraic precision if the required data are given on vertices and edges, or m + E[m/2] + 1 or m + 1 order algebraic precision if the data are given only at vertices. The orders of the interpolation error are estimated. Examp...
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Consider the black box interpolation of a τ -sparse, n-variate rational function f , where τ is the maximum number of terms in either numerator or denominator. When numerator and denominator are at most of degree d, then the number of possible terms in f is O(dn) and explodes exponentially as the number of variables increases. The complexity of our sparse rational interpolation algorithm does n...
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omission and to say whether its correction will lead only to a new interpretation of the constants of our equations or to an actual change of their form. Another simplification is the neglect of polar and excited states: While there is reason to assume that their influence is small, its exact estimate is still lacking. Further inaccuracies were discussed in our preceding paper: The use of Bloch...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1996
ISSN: 0898-1221
DOI: 10.1016/0898-1221(96)00177-0