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.
- Guest-Editor, Sensors: Special Issue “Attitude Estimation Based on Data Processing of Sensors,” WoS Impact factor is 3.847. Deadline: May 31, 2023
- Guest-Editor, Mathematics: Special Issue “Dynamics and Control Using Functional Interpolation,” WoS Impact factor is 2.592. Deadline: December 31, 2024
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, Russian, Chinese]
2025 Journal articles
- White, T. and Mortari, D. “Theory of Functional Connections Applied to Discontinuous Differential Equations,” 2025. Mathematics of Computation (AMS). To be submitted.
- Mortari, D. “Theory of Functional Connections for Continuous Integral Constraints,” 2025. Applied Mathematics and Computation. 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.
2024 Conferences, Invited Seminars, Symposiums, Workshops, and Talks
- Mortari, D. “New Applications of the Theory of Functional Connections,” Workshop Data-Driven Model Reduction, Scientific Frontiers, and Applications, Texas A&M University, College Station TX, November 7, 2024.
- Mortari, D. “Recent Findings on the Theory of Functional Connections,” International Workshop on Space Dynamics, Satellite Geodesy, and Numerical Methods, Alicante, Spain, October 1, 2024.
- Pérez López, D., de Vittori, A., di Lizia, P., and Mortari, D. “Exploring Functional Connections Theory and Linearized Approaches in Collision Avoidance Maneuver Design: a Comparative Study,” 75th International Astronautical Congress, Milan, Italy, 14-18 October 2024.