DANIELE MORTARI

Professor

Email: mortari@tamu.edu
Phone: (979) 845-0734
Office: HRBB 746C
Curriculum Vitae
Google Scholar
Member, Institute for Scientific Computation

Biography

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, functional interpolation, differential equations, rotation in n-dimensional spaces, etc.).

Editorship

Sensors. Special Issue “Attitude Sensors“. Deadline for manuscript submissions: September 30, 2020.
Mathematics. Special Issue “Computational Mathematics, Algorithms, and Data Processing” (ISSN 2227-7390).

Research Interest

Attitude and position determination systems
Satellite constellations design
Sensor data processing
Algorithms and linear algebra
Functional interpolation

Research Team

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Dr. Alan Kardec de Almeida Junior	Carl Leake (2019 NSTRF)	Hunter Johnston (2019 NSTRF)	Anthony Gardner	Yun Sian Teck

2020 Journal Publications

de Almeida Junior, A.K., Johnston, H., Leake, C., and Mortari, D. “Two-impulse Earth-to-Moon short time transfer using Theory of Functional Connections,” Celestial Mechanics and Dynamical Astronomy, Under Review.
Schiassi, E., D’Ambrosio, A., Johnston, H., De Florio, M., Drozd, K., Furfaro, R., Curti, F., and Mortari, D. “Physics-Informed Extreme Theory of Functional Connections Applied to Optimal Control Problems for Space Guidance,” IEEE Aerospace and Electronics Systems, Under Review.
Schiassi, E., Furfaro, R., Leake, C., De Florio, M., Johnston, H., and Mortari, D. “Extreme Theory of Functional Connections: A Physics-Informed Neural Network Method for solving Parametric Differential Equations,” Neurocomputing, Under Review.
Johnston, H. and Mortari, D. “Least-squares Solutions of Boundary-Value Problems in Hybrid Systems,” Journal of Computational and Applied Mathematics, Under review.
Mai, T. and Mortari, D. “Theory of Functional Connections Applied to Nonlinear Programming under Equality Constraints,” Journal of Computational and Applied Mathematics, Under review.
Johnston, H., Leake, C., de Almeida, M.M., and Mortari, D. “Recursive Star-Identification Algorithm using an Adaptive SVD-based Angular Velocity Estimator,” AIAA Journal of Spacecraft and Rockets, In print.
Mortari, D. and Arnas, D. “Bijective Mapping Analysis to Extend the Theory of Functional Connections to Non-rectangular 2-dimensional Domains,” Mathematics 2020, 8(9), 1593; https://doi.org/10.3390/math8091593.
Leake, C., Johnston, H., and Mortari, D. “The Multivariate Theory of Functional Connections: Theory, Proofs, and Application in Partial Differential Equations,” Mathematics 2020, 8(8) 1303.
Johnston, H., Schiassi, E., Furfaro, R., and Mortari, D. “Fuel-Efficient Powered Descent Guidance on Planetary Bodies via the Theory of Functional Connections,” The Journal of Astronautical Sciences, In print.
de Almeida, M.M., Mortari, D., Zanetti, R., and Akella, M. “QuateRA: the Quaternion Regression Algorithm,” AIAA Journal of Guidance, Control, and Dynamics, 2020, 43(9), pp. 1600-1616.
Leake, C., Arnas, D., and Mortari, D. “Non-dimensional Star-Identification,” Sensors, 2020, 20, 2697.
Johnston, H., Leake, C., and Mortari, D. “Least-squares Solutions of Eighth-order Boundary Value Problems using the Theory of Functional Connections”, Mathematics, 2020, Vol. 8(3), No. 397.
Leake, C. and Mortari, D. “Deep Theory of Functional Connections: A New Method for Estimating the Solutions of Partial Differential Equations”, Machine Learning and Knowledge Extraction, 2020, Vol. 2, No. 1, pp. 37-55.
Arnas, D., Leake, C., and Mortari, D. “The n-Dimensional k-vector and its Application to Orthogonal Range Searching,” Applied Mathematics and Computation, Vol. 372, 1 May 2020, 125010.
Zhang, G. and Mortari, D. “Impulsive Orbit Correction using Second Order Gauss’s Variational Equations,” Celestial Mechanics and Dynamical Astronomy, 2020, 132:13. https://doi.org/10.1007/s10569-019-9949-6.
Furfaro, R. and Mortari, D. “Least-squares Solution of a Class of Optimal Guidance Problems via Theory of Connections,” ACTA Astronautica, March 2020, Vol. 168, pp.92-103.