7 citations · 16 across the 4 of their papers we have counts for
5 papers
Bijective Mapping Analysis to Extend the Theory of Functional Connections to Non-rectangular 2-dimensional Domains
Daniele Mortari, David Anas
This work presents an initial analysis of using bijective mappings to extend the Theory of Functional Connections to non-rectangular two-dimensional domains. Specifically, this man…
Nonlinear Function Inversion using k-vector
David Arnas, Daniele Mortari
This work introduces a general numerical technique to invert one dimensional analytic or tabulated nonlinear functions in assigned ranges of interest. The proposed approach is base…
Random Sampling using k-vector
David Arnas, Carl Leake, Daniele Mortari
This work introduces two new techniques for random number generation with any prescribed nonlinear distribution based on the k-vector methodology. The first approach is based on in…
The n-dimensional k-vector and its application to orthogonal range searching
David Arnas, Carl Leake, Daniele Mortari
This work focuses on the definition and study of the n-dimensional k-vector, an algorithm devised to perform orthogonal range searching in static databases with multiple dimensions…
Non-dimensional Star-Identification
Carl Leake, David Arnas, Daniele Mortari
This study introduces a new "Non-Dimensional" star identification algorithm to reliably identify the stars observed by a wide field-of-view star tracker when the focal length and o…