88 citations · 233 across the 14 of their papers we have counts for
8 papers · 1 filter
Motivations and Preliminary Design for Mid-Air Deployment of a Science Rotorcraft on Mars
Jeff Delaune, Jacob Izraelevitz, Larry A. Young +18
Mid-Air Deployment (MAD) of a rotorcraft during Entry, Descent and Landing (EDL) on Mars eliminates the need to carry a propulsion or airbag landing system. This reduces the total…
The Multivariate Theory of Functional Connections: Theory, Proofs, and Application in Partial Differential Equations
Carl Leake, Hunter Johnston, Daniele Mortari
This article presents a reformulation of the Theory of Functional Connections: a general methodology for functional interpolation that can embed a set of user-specified linear cons…
Extreme Theory of Functional Connections: A Physics-Informed Neural Network Method for Solving Parametric Differential Equations
Enrico Schiassi, Carl Leake, Mario De Florio +3
In this work we present a novel, accurate, and robust physics-informed method for solving problems involving parametric differential equations (DEs) called the Extreme Theory of Fu…
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…
Recursive Star-Identification Algorithm using an Adaptive SVD-based Angular Velocity Estimator
Hunter Johnston, Carl Leake, Marcelino M. de Almeida +1
This paper describes an algorithm obtained by merging a recursive star identification algorithm with a recently developed adaptive SVD-based estimator of the angular velocity vecto…
Least-squares Solutions of Eighth-order Boundary Value Problems using the Theory of Functional Connections
Hunter Johnston, Carl Leake, Daniele Mortari
This paper shows how to obtain highly accurate solutions of eighth-order boundary-value problems of linear and nonlinear ordinary differential equations. The presented method is ba…