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07/28/2020
Bijective Mapping Analysis to Extend the Theory of Functional Connections to Non-rectangular 2-dimensional Domains
This work presents an initial analysis of using bijective mappings to ex...
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07/08/2020
The Multivariate Theory of Functional Connections: Theory, Proofs, and Application in Partial Differential Equations
This article presents a reformulation of the Theory of Functional Connec...
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05/15/2020
Extreme Theory of Functional Connections: A Physics-Informed Neural Network Method for Solving Parametric Differential Equations
In this work we present a novel, accurate, and robust physics-informed m...
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04/05/2020
Nonlinear Function Inversion using k-vector
This work introduces a general numerical technique to invert one dimensi...
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04/05/2020
Random Sampling using k-vector
This work introduces two new techniques for random number generation wit...
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04/05/2020
The n-dimensional k-vector and its application to orthogonal range searching
This work focuses on the definition and study of the n-dimensional k-vec...
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03/30/2020
Non-dimensional Star-Identification
This study introduces a new "Non-Dimensional" star identification algori...
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02/10/2020
Least-squares Solutions of Eighth-order Boundary Value Problems using the Theory of Functional Connections
This paper shows how to obtain highly accurate solutions of eighth-order...
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10/11/2019
Theory of functional connections applied to nonlinear programming under equality constraints
This paper introduces an efficient approach to solve quadratic programmi...
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12/13/2018
