45 citations · 84 across the 4 of their papers we have counts for
9 papers
The Theory of Functional Connections: A journey from theory to application
Hunter Johnston
The Theory of Functional Connections (TFC) is a general methodology for functional interpolation that can embed a set of user-specified linear constraints. The functionals derived…
Fast 2-impulse non-Keplerian orbit-transfer using the Theory of Functional Connections
Allan K. de Almeida Junior, Hunter Johnston, Carl Leake +1
This study applies a new approach, the Theory of Functional Connections (TFC), to solve the two-point boundary-value problem (TPBVP) in non-Keplerian orbit transfer. The perturbati…
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…
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…