Institutos Universitarios

Luis Vázquez Martínez

Catedrático de Universidad (Full Professor)
Department of Applied Mathematics and Mathematical Analysis
Computer Sciences Faculty
Complutense University of Madrid
Modelización y simulación en el Cálculo Fraccionario y de la atmósfera de Marte





Department of Applied Mathematics and Mathematical Analysis, full Professor of Applied Mathematics in Applied Mathematics Department of Computer Sciences Faculty of Complutense University of Madrid (UCM) where he got the degree Licenciado in Physics in 1971. Ph.D. in Physics by Zaragoza University in 1975.

Visiting Research Associated in the Mathematics Department of Brown University (Providence, R.I., USA) in the period 1975-1977.

Scientific Associate of the Center for Nonlinear Studies, Los Alamos National laboratory (Los Alamos, N.M., USA) in 1987-1990.

In the UCM: Vicedean of Physics Faculty, Associated Vicepresident of Research, Director of the European Office for Research, Founder and Director of the Supercomputation Center.

Coordinator of the Scientific foresight in the Agencia Nacional de Evaluación y Prospectiva of Spain (ANEP). Founder member of the Centro de Astrobiología (CSIC, INTA) associated to the NASA Astrobiology Institute.

Maximum evaluation degree of the teaching and research activities.

Correspondant Academician of the Real Academia de Ciencias Exactas, Físicas y Naturales of Spain, and Real Academia de Doctores of Spain.


Research interests

Martian studies, Martian atmosphere, electromagnetic radiation, Fractional Calculus, nonlinear dynamics, complex systems, nonlinear wave equations, numerical schemes, stochastic processes, data mining.


Latest Publications

  • M. Pilar Velasco, J. L. Vázquez-Poletti, L. Vázquez. About the Simulations of Maxwell Equations: Some Applications. In Nonlinear Dynamics and Complexity: Mathematical Modelling of Real-World Problems, Nonlinear Systems and Complexity, Editor: C. M. A. Pinto, vol 36. Springer, 2022.
  • L. Vázquez, M. P.  Velasco, J. L. Vázquez-Poletti, S. Jiménez, D. Usero. From Radiation and Space Exploration to the Fractional Calculus. In New Perspectives on Nonlinear Dynamics and Complexity, Nonlinear Systems and Complexity, Editors: D. Volchenkov, A. C. J. Luo, vol 35. Springer, 2022.
  •  L.VázquezM. P. Velasco, D. Baleanu, J. L. Vázquez-Poletti, S. Jimenez.From Eikonal to Antieikonal Approximations: Competition of Scales in the Framework of Schrödinger and Classical Wave Equation, Journal of Computational and Nonlinear Dynamics, 2022, Vol  17(8): 080801. (
  • L.Vázquez, M. P. Velasco, D. Baleanu, J. L. Vázquez-Poletti, S. Jimenez. From Eikonal to Antieikonal Approximations:Competition of Scales in the Framework of Schrödinger and Classical Wave Equation, Journal of Computational and Nonlinear Dynamics, 2022,  Vol  17(8): 080801.
  • A. B. Shvartsburg, V. Ya Pecherkin, S. Jiménez, L. M. Vasilyak, L. Vázquez, S. P. Vetchinin. Resonant phenomena in an all-dielectric rectangular circuit induced by a plane microwave. J. Phys. D: Appl. Phys. 2021, 54, 075004 (9pp).
  • N. Schetakis, R. Crespo, J. L. Vázquez-Poletti, M. Sastre, L. Vázquez, A. Di Iorio. Overview of the main radiation transport codes. Geosci. Instrum. Method. Data Syst. 2020, 9, 407–415.
  • M. P. Velasco, D. Usero, S. Jiménez, L. Vázquez, J. L. Vázquez-Poletti, M. Mortazavi. About Some Possible Implementations of the Fractional Calculus. Mathematics. 2020, 8(6), 893.
  • A.B. Shvartsburg, S. Jiménez, N.S. Erokhin, and L. Vázquez. Tunneling and Filtering of Degenerate Microwave Modes in a Polarization-Dependent Waveguide Containing Index Gradient Barriers. Phys. Rev. Applied 11, 044056. 2019.
  • L. Vázquez, J. L. Vázquez-Poletti. La gran aventura de la exploración de Marte. Documento de Opinión IEEE 13/2019.
  • J. L. Vázquez-Poletti, M. P. Velasco, S. Jiménez, D. Usero, I. M. Llorente, L. Vázquez, O. Korablev, D. Belyaev, M. V. Patsaeva, I. V. Khatuntsev. Public “Cloud” Provisioning for Venus Express VMC Image Processing. Communications on Applied Mathematics and Computation 2019 Volume 1, Issue 2, pp 253–261.

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L. Vázquez Martínez, M. P. Velasco Cebrián, J. L. Vázquez-Poletti, F. Valero RodríguezM. P. Romero Pérez, S. Jiménez Burillo, M. L. Martín PérezG. Barderas Manchado, María Ramírez Nicolás, C. Aguirre Maeso, P. J. Pascual Broncano, D. Usero Mainer, M. Sastre Marugán. La gran aventura de la exploración en MarteGuillermo Escolar Editor S. L. 2021. ISBN: 978-84-18093-88-3.