Zobrazeno 1 - 10
of 319
pro vyhledávání: '"Mortari, Daniele"'
A numerical approach to solve the perturbed Lambert's problem is presented. The proposed technique uses the Theory of Functional Connections, which allows the derivation of a constrained functional that analytically satisfies the boundary values of L
Externí odkaz:
http://arxiv.org/abs/2408.03381
This work shows that a class of astrodynamics problems subject to mission constraints can be efficiently solved using the Theory of Functional Connections (TFC) mathematical framework by a specific change of coordinates. In these problems, the constr
Externí odkaz:
http://arxiv.org/abs/2310.09531
Publikováno v:
Eur. Phys. J. Plus 136, 223 (2021)
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 perturbations considered are drag, solar radiation pressure, higher-order gravit
Externí odkaz:
http://arxiv.org/abs/2102.11837
Autor:
Mortari, Daniele, Anas, David
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 manuscript proposes three different mappings techniques: a) complex mappi
Externí odkaz:
http://arxiv.org/abs/2008.07310
Publikováno v:
Mathematics 2020, 8, 1303
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:
http://arxiv.org/abs/2007.04170
Autor:
Schiassi, Enrico, Leake, Carl, De Florio, Mario, Johnston, Hunter, Furfaro, Roberto, Mortari, Daniele
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 Functional Connections, or X-TFC. The proposed method is a synergy of tw
Externí odkaz:
http://arxiv.org/abs/2005.10632
Autor:
Arnas, David, Mortari, Daniele
Publikováno v:
Applied Mathematics and Computation Vol. 320, pp. 754-768, 2018
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 based on an optimal version of the k-vector range searching, an ad-hoc mod
Externí odkaz:
http://arxiv.org/abs/2004.02342
Publikováno v:
Computing in Science & Engineering, Vol. 21, No. 1, pp. 94-107, 2019
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 inverse transform sampling using the optimal k-vector to generate the sa
Externí odkaz:
http://arxiv.org/abs/2004.02339
Publikováno v:
Applied Mathematics and Computation, Vol. 372, 2020
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. The methodology first finds the order in which to search the dimensi
Externí odkaz:
http://arxiv.org/abs/2004.02335
Publikováno v:
Sensors. 2020; 20(9):2697
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 optical axis offset values are known with poor accuracy. This algorithm
Externí odkaz:
http://arxiv.org/abs/2003.13736