Mortari, Daniele individual record
Professor
overview

During past few years, my research has focused on: 1) orientation and position estimation of spacecraft, 2) attitude sensor data processing, 3) satellite constellations, and 4) various topics in linear algebra and numerical algorithms (function inversion, interpolation, differential equations, rotation in n-dimensional real and complex spaces, etc.).

education and training
selected publications
Academic Articles125
  • Mai, T., & Mortari, D. (2022). Theory of functional connections applied to quadratic and nonlinear programming under equality constraints. Journal of Computational and Applied Mathematics. 406, 113912-113912.
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  • Yassopoulos, C., Leake, C., Reddy, J. N., & Mortari, D. (2021). Analysis of Timoshenko–Ehrenfest beam problems using the Theory of Functional Connections. Engineering Analysis with Boundary Elements. 132, 271-280.
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  • Schiassi, E., Furfaro, R., Leake, C., De Florio, M., Johnston, H., & Mortari, D. (2021). Extreme theory of functional connections: A fast physics-informed neural network method for solving ordinary and partial differential equations. Neurocomputing. 457, 334-356.
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  • Johnston, H., & Mortari, D. (2021). Least-squares solutions of boundary-value problems in hybrid systems. Journal of Computational and Applied Mathematics. 393, 113524-113524.
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  • De Florio, M., Schiassi, E., D’Ambrosio, A., Mortari, D., & Furfaro, R. (2021). Theory of Functional Connections Applied to Linear ODEs Subject to Integral Constraints and Linear Ordinary Integro-Differential Equations. Mathematical and Computational Applications. 26(3), 65-65.
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Conference Papers185
  • de Almeida, M. M., Mortari, D., Zanetti, R., & Akella, M. (2020). QuateRA: The Quaternion Regression Algorithm. Journal of Guidance, Control, and Dynamics. 43(9), 1600-1616.
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  • Mortari, D., Razoumny, Y. N., Samusenko, O. E., Novikova, V. D., & Quy, N. N. (2020). THE ALGORITHM FOR SOLVING THE PROBLEM OF CHOOSING THE OPTIMAL TWO-TIER SATELLITE SYSTEM STRUCTURE FOR CONTINUOUS SCANNING OF THE SPHERICAL LAYER OF NEAR-EARTH SPACE. FIRST IAA/AAS SCITECH FORUM ON SPACE FLIGHT MECHANICS AND SPACE STRUCTURES AND MATERIALS. 170, 463-473.
  • Morten, D. (2020). THE THEORY OF CONNECTIONS: CONNECTING FUNCTIONS. FIRST IAA/AAS SCITECH FORUM ON SPACE FLIGHT MECHANICS AND SPACE STRUCTURES AND MATERIALS. 170, 123-135.
  • Johnston, H., & Mortari, D. (2020). WEIGHTED LEAST-SQUARES SOLUTIONS OF OVER -CONSTRAINED DIFFERENTIAL EQUATIONS. FIRST IAA/AAS SCITECH FORUM ON SPACE FLIGHT MECHANICS AND SPACE STRUCTURES AND MATERIALS. 170, 137-150.
  • Leake, C., Roa, J., & Mortari, D. (2019). APPLICATIONS OF THE DYNAMIC N-DIMENSIONAL K-VECTOR. ASTRODYNAMICS 2018, PTS I-IV. 167, 3583-3596.
Repository Documents / Preprints12
  • Schiassi, E., Leake, C., De Florio, M., Johnston, H., Furfaro, R., & Mortari, D. (2020). Extreme Theory of Functional Connections: A Physics-Informed Neural Network Method for Solving Parametric Differential Equations.
  • Arnas, D., & Mortari, D. (2020). Nonlinear Function Inversion using k-vector.
  • Arnas, D., Leake, C., & Mortari, D. (2020). Random Sampling using k-vector.
patents
Patents1
chaired theses and dissertations
Email
mortari@tamu.edu
First Name
Daniele
Last Name
Mortari
mailing address
Texas A&M University; Aerospace Engineering; 3141 TAMU
College Station, TX 77843-3141
USA