DANIELE MORTARI
Professor
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TFC book: Leake, C., Johnston, H., and Mortari, D. The Theory of Functional Connections: A Functional Interpolation. Framework with Applications. Lulu, Morrisville NC, 2022. Available on Lulu, Amazon, and Barnes&Nobles.
Biography
During the 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, k-vector, rotation in n-dimensional spaces, etc.).
Editorship
- Editor-in-Chief, Functional Interpolation section (Mathematics). WoS impact factor is 2.592 (Q1 and top 5%). Editorial board.
Research Interest
- Attitude and position determination systems
- Satellite constellations design (Flower Constellation, starting at 4:45)
- Sensor data processing
- Algorithms (k-vector) and linear algebra
- Theory of Functional Connections [papers] – [code (Python)] – [code readme] – [Seminar at Crunch, starting at 57:18] [TFC Phyton toolbox seminar] Wikipedia [English, Spanish, Portuguese, Italian, Korean, Chinese]
2025 Journal articles
- White, T. and Mortari, D. “Theory of Functional Connections Applied to Linear Discontinuous Differential Equations,” 2025. Lobachevskii Journal of Mathematics. In preparation.
- Calabrese, S. and Mortari, D. “Solving Approximate ODEs subject to Noisy Data using the Theory of Functional Connections,” 2025. TBD. In preparation.
- de Almeida, A., Vaillant, T., and Mortari, D. “Using the Theory of Functional Connections to Build Poincaré Sections”, 2025. TBD. In preparation.
- Mortari, D. “Functional Lagrange Barycentric Polynomials,” 2025. TBD. In preparation.
- Mortari, D. “Leveraging Minimum Parameterization in the Theory of Functional Connections,” 2025. Lobachevskii Journal of Mathematics. Submitted.
- Mortari, D. “Theory of Functional Connections for Continuous Integral Constraints,” 2025. Mathematics and Computers in Simulation. Submitted.
- Gutierrez de Alba, J., Tresaco, E., and Mortari, D. “A Study on an Optimal Analytical and an Accurate Algorithmic Landing Techniques,” 2025. Advances of Space Research. Submitted.
Research team
- Kwon Yong Jae, MS, Aerospace Engineering, Texas A&M University, Started August 2024.
- John Deluca, Ph.D., Aerospace Engineering, Texas A&M University, Started August 2025.
- Benjamin Jacobs, Ph.D., Aerospace Engineering, Texas A&M University, Started August 2025.