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Daniele Mortari

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Texas A&M University College of Engineering

   DANIELE MORTARI

Professor

  • Email: mortari@tamu.edu
  • Phone: (979) 845-0734
  • Office: HRBB 745
  • [Curriculum Vitae], [Google Scholar], [Wikipedia]
  • Member, Institute for Scientific Computation

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

  1. White, T. and Mortari, D. “Theory of Functional Connections Applied to Linear Discontinuous Differential Equations,” 2025. Lobachevskii Journal of Mathematics. In preparation.
  2. Calabrese, S. and Mortari, D. “Solving Approximate ODEs subject to Noisy Data using the Theory of Functional Connections,” 2025. TBD. In preparation.
  3. de Almeida, A., Vaillant, T., and Mortari, D.  “Using the Theory of Functional Connections to Build Poincaré Sections”, 2025. TBD. In preparation.
  4. Mortari, D. “Functional Lagrange Barycentric Polynomials,” 2025. TBD. In preparation.
  5. Mortari, D. “Leveraging Minimum Parameterization in the Theory of Functional Connections,” 2025. Lobachevskii Journal of Mathematics. Submitted.
  6. Mortari, D. “Theory of Functional Connections for Continuous Integral Constraints,” 2025. Mathematics and Computers in Simulation. Submitted.
  7. 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

  1. Kwon Yong Jae, MS,  Aerospace Engineering, Texas A&M University, Started August 2024.
  2. John Deluca, Ph.D., Aerospace Engineering, Texas A&M University, Started August 2025.
  3. Benjamin Jacobs, Ph.D., Aerospace Engineering, Texas A&M University, Started August 2025.

Calendar

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