Year: 1974
Type: article
Abstract: 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 .
Source: Communications of the ACM
Author: A. H. Stroud
Institution: Texas A&M University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1972302961