Zobrazeno 1 - 10
of 259
pro vyhledávání: '"Hunter Johnston"'
Publikováno v:
Mathematics, Vol 9, Iss 11, p 1210 (2021)
In this paper, we develop a method to solve for periodic orbits, i.e., Lyapunov and Halo orbits, using a functional interpolation scheme called the Theory of Functional Connections (TFC). Using this technique, a periodic constraint is analytically em
Externí odkaz:
https://doaj.org/article/f647fa9e6b07460fb7ffcaf895eded03
Publikováno v:
Mathematics, Vol 8, Iss 8, p 1303 (2020)
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 constraints. The reformulation presented in this paper exploits the underl
Externí odkaz:
https://doaj.org/article/71eaab2c0ff046529716d99f16846db5
Publikováno v:
Mathematics, Vol 8, Iss 3, p 397 (2020)
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 based on the Theory of Functional Connections, and is solved in two step
Externí odkaz:
https://doaj.org/article/3f673cd12ea74de593a083c6af013b66
Publikováno v:
Mathematics, Vol 7, Iss 6, p 537 (2019)
In this paper, we consider several new applications of the recently introduced mathematical framework of the Theory of Connections (ToC). This framework transforms constrained problems into unconstrained problems by introducing constraint-free variab
Externí odkaz:
https://doaj.org/article/efc5e671eeca4eca916c74fcf72659d0
Autor:
Andrea D’Ambrosio, Enrico Schiassi, Hunter Johnston, Fabio Curti, Daniele Mortari, Roberto Furfaro
Publikováno v:
Advances in Space Research. 69:4198-4220
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f5a36a2b969aff9050f4a6e2f74a6746
https://doi.org/10.1016/j.asr.2022.04.009
https://doi.org/10.1016/j.asr.2022.04.009
Autor:
Mario De Florio, Daniele Mortari, Roberto Furfaro, Enrico Schiassi, Carl Leake, Hunter Johnston
Publikováno v:
Neurocomputing. 457:334-356
We present a novel, accurate, fast, and robust physics-informed neural network method for solving problems involving differential equations (DEs), called Extreme Theory of Functional Connections, or X-TFC. The proposed method is a synergy of two rece
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eac672a6f278288c19675faa89f66215
https://doi.org/10.1016/j.neucom.2021.06.015
https://doi.org/10.1016/j.neucom.2021.06.015
Publikováno v:
Journal of Spacecraft and Rockets. 58:1138-1148
This paper describes an algorithm obtained by merging a recursive star-identification algorithm with a recently developed adaptive singular-value-decomposition-based estimator of the angular-veloci...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ade97712d58c7bc02a3d88cdd94fc30b
https://doi.org/10.2514/1.a34869
https://doi.org/10.2514/1.a34869
Publikováno v:
Acta Astronautica. 182:361-382
In this paper, we present a new approach for solving a broad class of energy-optimal trajectory problems in relative motion using the recently developed Theory of Functional Connections (TFC). A total of four problem cases are considered and solved,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c70be6c5f70af006cd2297164db8adb6
https://doi.org/10.1016/j.actaastro.2021.01.031
https://doi.org/10.1016/j.actaastro.2021.01.031
Publikováno v:
Machine learning and knowledge extraction
Machine Learning and Knowledge Extraction
Volume 1
Issue 4
Pages 60-1083
Machine Learning and Knowledge Extraction
Volume 1
Issue 4
Pages 60-1083
Differential equations (DEs) are used as numerical models to describe physical phenomena throughout the field of engineering and science, including heat and fluid flow, structural bending, and systems dynamics. While there are many other techniques f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4b593cde86693df96357af1c542faae
https://doi.org/10.3390/make1040060
https://doi.org/10.3390/make1040060
Publikováno v:
Mathematics
Volume 9
Issue 11
Mathematics, Vol 9, Iss 1210, p 1210 (2021)
Volume 9
Issue 11
Mathematics, Vol 9, Iss 1210, p 1210 (2021)
In this paper, we develop a method to solve for periodic orbits, i.e., Lyapunov and Halo orbits, using a functional interpolation scheme called the Theory of Functional Connections (TFC). Using this technique, a periodic constraint is analytically em
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f97d055f407743c4a0ee8642e04ad3c