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.
December 11-12, 2025, Astronautics Symposium at Texas A&M University, College Station
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). Impact factor is 2.2 (Q1 in Mathematics and in General Mathematics). 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
- Mortari, D. and Calabrese, S. “Solving Approximate ODEs using Theory of Functional Connections: Application to Soil Moisture Dry-Down Estimation,” 2025. In progress.
- Mortari, D. “Functional Lagrange Barycentric Polynomials,” 2025. In progress.
- Mortari, D. “Theory of Functional Connections for Continuous Integral Constraints,” 2025. Mathematical and Computational Applications. Submitted.
- de Almeida, A. and Mortari, D. “Using the Theory of Functional Connections to Build Poincaré Sections”, 2025. Nonlinear Dynamics. Submitted.
- Mortari, D. “Leveraging Minimum Parameterization in the Theory of Functional Connections,” 2025. Lobachevskii Journal of Mathematics. In print.
- White, T. and Mortari, D. “Theory of Functional Connections Applied to Linear Discontinuous Differential Equations,” Mathematics 2025, 13(17), 2785.
- Gutierrez de Alba, J., Tresaco, E., and Mortari, D. “A Study on an Optimal Analytical and an Accurate Algorithmic Landing Techniques,” 2025. Advances in Space Research. Vol. 76. No. 1, pp. 3098-3108.
Research team
- Kwon Yong Jae, MS, Aerospace Engineering, Texas A&M University, Started August 2024.
- John Deluca, MS, Aerospace Engineering, Texas A&M University, Started August 2025.