4 citations · 12 across the 8 of their papers we have counts for
8 papers
Uniqueness Theorems for Point Source Expansions: DIDACKS V
Alan Rufty
Finite collections of point masses contained in some bounded domain produce a unique field in the exterior domain, which means that the associated basis functions (often called ``f…
A closed-form energy-minimization basis for gravity field source estimation: DIDACKS IV
Alan Rufty
By building on the field energy minimization underpinnings of DIDACKS theory and by making certain natural assumptions about the general nature of the energy/density configuration…
Four Properties of Reproducing Kernel Hilbert Spaces
Alan Rufty
A reproducing kernel Hilbert space (RKHS) has four well-known easily derived properties. Since these properties are usually not emphasized as a simple means of gaining insight into…
Comments on the Reliability of Lawson and Hanson's Linear Distance Programming Algorithm: Subroutine LDP
Alan Rufty
This brief paper: (1) Discusses strategies to generate random test cases that can be used to extensively test any Linear Distance Program (LDP) software. (2) Gives three numerical…
Closed-form Dirichlet integral harmonic interpolation-fits for real n-dimensional and complex half-space: DIDACKS III
Alan Rufty
This article gives a ``fundamental solution'' based energy-norm harmonic interpolation approach for two half-space settings of interest: the upper-half plane, where…
Dirichlet integral point-source harmonic interpolation over spherical interiors: DIDACKS II
Alan Rufty
This article addresses the interpolation of harmonic functions over the interior of a unit sphere by linear combinations of fundamental-solution point-source basis f…