Existence of Gauss Harmonic Interpolation Formulas

1976 ◽  
Vol 13 (1) ◽  
pp. 18-26 ◽  
Author(s):  
David L. Barrow ◽  
A. H. Stroud
Keyword(s):  
Harmonic Interpolation

scholarly journals Harmonic interpolation based on Radon projections along the sides of regular polygons

2013 ◽  
Vol 11 (4) ◽  
Author(s):  
Irina Georgieva ◽  
Clemens Hofreither ◽  
Christoph Koutschan ◽  
Veronika Pillwein ◽  
Thotsaporn Thanatipanonda
Keyword(s):  
Harmonic Function ◽  
Finite Number ◽  
Interpolation Problem ◽  
Numerical Experiments ◽  
Regular Polygon ◽  
Harmonic Polynomial ◽  
Regular Polygons ◽  
Symbolic Summation ◽  
Radon Projections ◽  
Harmonic Interpolation

AbstractGiven information about a harmonic function in two variables, consisting of a finite number of values of its Radon projections, i.e., integrals along some chords of the unit circle, we study the problem of interpolating these data by a harmonic polynomial. With the help of symbolic summation techniques we show that this interpolation problem has a unique solution in the case when the chords form a regular polygon. Numerical experiments for this and more general cases are presented.

Gauss harmonic interpolation formulas

1974 ◽  
Vol 17 (8) ◽  
pp. 471-475 ◽  
Author(s):  
A. H. Stroud
Keyword(s):  
Harmonic Interpolation
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