By A. H. Stroud
Communications of the ACM,
August 1974,
Vol. 17 No. 8, Pages 471-475
10.1145/361082.361100
Comments
Let R be an open, bounded, simply connected region in the (x,y)-plane and let (x*,y*) be a point in R. Assuming R is starlike with respect to (x*,y*), we discuss a method for computing Gauss harmonic interpolation formulas for R and the point (x*,y*). Such formulas approximate a harmonic function at (x*,y*) in terms of a linear combination of its values at certain selected points on the boundary of R. Such formulas are useful for approximating the solution of the Dirichlet problem for R.
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