On the inverse interpolation and some of its applications

2019 ◽  
Vol 22 (4) ◽  
pp. 567-580
Author(s):  
Stefan M. Stefanov
Keyword(s):  
Inverse Interpolation

scholarly journals Two theorems on inverse interpolation

1988 ◽  
Vol 18 (3) ◽  
pp. 645-654 ◽  
Author(s):  
A. L. Horwitz ◽  
L.A. Rubel
Keyword(s):  
Inverse Interpolation

Gridding of potential field data with inverse interpolation

2006 ◽  
Author(s):  
Lianghui Guo ◽  
Xiaohong Meng ◽  
Guofeng Liu ◽  
Zhihong Guo
Keyword(s):  
Potential Field ◽  
Field Data ◽  
Potential Field Data ◽  
Inverse Interpolation

A class of methods for tabular interpolation

1967 ◽  
Vol 63 (4) ◽  
pp. 1101-1114 ◽  
Author(s):  
F. M. Larkin
Keyword(s):  
Trigonometric Series ◽  
Recurrence Relations ◽  
Rational Functions ◽  
Linear Transformations ◽  
Independent Variable ◽  
Inverse Interpolation ◽  
Aitken Method

AbstractA generalization of the Neville–Aitken method is described which allows the construction of interpolating functions, other than polynomials, by means of simple recurrence relations. In particular, simple constructions are given for rational functions and trigonometric series which interpolate prescribed function values at non-equispaced positions of the independent variable.Restrictions imposed by requiring the interpolating functions to be invariant under linear transformations of the coordinates are discussed, and application of the technique to the problem of inverse interpolation is also considered.

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