Logo IMI                      

Luis Vázquez Martínez Luis Vázquez Martínez
Position: Catedrático de universidad (Professor)
Department of Applied Mathematics, Faculty of Mathematics, UCM (Spain)
Programme MODySIM
e-mail: lvazquez@fdi.ucm.es

Research interests:

  • Studies associated to Mars.
  • Applications of Fractional Calculus.
  • Numerical schemes.
  • Non-linear wave equations.

Main recent publications:

  •  G. Martínez, F. Valero y L. Vázquez. TKE Budget in the Convective Martian planetary boundary layer. Quarterly Journal of the Royal Meteorological Society. DOI:10.1002/qj.883, 1-15 (2011).
  • A. Petrosyan, B. Galperin, S.E. Larsen, S.R. Lewis, A. Määttänen, P.L. Read, N. Renno, L.P.H.T. Rogberg, H. Savijärvi, T. Siili, A. Spiga, A. Toigo and L. Vázquez. The Martian Atmospheric Boundary Layer. A: Reviews of Geophysics, 49, RG3005, 46 pages (2011).
  • L. Vázquez. From Newton Equation to Fractional Diffusion and Wave  Equations. Advances in Difference Equations, 13 pages, (2011). DOI:10.1155/2011/169421.
  • M. Rivero, J.J. Trujillo, L. Vazquez and M.P. Velasco. Fractional Dynamics of Populations. Applied Mathematics and Computation, 218, 1089-1095 (2011).
  • L. Vazquez, J.J. Trujillo and M.P. Velasco. Fractional heat equation and the second law of thermodynamics. Fractional Calculus and Applied Analysis 14, n. 3, 334-342 (1911). DOI: 10.2478/s13540-011-0021-9.
  • Nie Ning-ming, ZhaoYan-min, S. Jiménez, Li Min, Tang Yi-fa and L. Vázquez. Solving Two-point Boundary Value Problems of Fractional Differential Equations with Riemann-Liouville Derivatives. Journal of System Simulation, 22, 20-24 (2010).
  • Ningming Nie, Yanmin Zhao, Min Li, Xiangtao Liu, S. Jiménez, Yifa Tang and L. Vázquez. Solving Two-point Boundary Value Problems of Fractional Differential Equations via Spline Collocation Methods. International Journal of Modeling Simulation and Scientific Computing, 1, 117-132 (2010).
  • M.P. Zorzano, L. Vázquez y S. Jiménez. Retrieval of Ultraviolet Spectral Irradiance from Filtered Photodiode Measurements. REVISTA: Inverse Problems, 25, 115023 (2009)
  • Fu Jing-Li, Nie Ning-Ming, Huang Jian-Fei, S. Jiménez, Tang Yi-Fa, L. Vázquez y Zao Wei-Jia. Noether conserved quantities and Lie point symmetries of difference Lagrange-Maxwell equations and lattices. Chinesse Physics B, 18 (7), 2634-2641 (2009)
  • L. Vázquez, S. Jiménez, C. Aguirre y P. J. Pascual. Métodos Numéricos para la Física y la Ingeniería Ed. McGraw-Hill, 2009.
  • G. Martínez, F. Valero y L. Vázquez. Characterization of the Martian Surface Layer, Journal of the Atmospheric Sciences 66, n.1, 187-198 (2009)
  • L. Rodríguez-Germá, J.J. Trujillo, L. Vázquez y M.P. Velasco, Fractional Calculus Framework to avoid Singularities of Differential Equations, Fractional Calculus and Applied Analysis 11, n. 4, 431- 441 (2008)
  • L. Vázquez y D. Usero. Relaciones entre los Fractales y el Cálculo Fraccionario, Memorias de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid. Serie de Ciencias Exactas, Tomo XXXIV, 69-82 (2008)
  • R. Vilela-Mendes y L. Vázquez. The Dynamical nature of a Backlash System with and without Fluid Friction, Nonlinear Dynamics 47, n. 4, 363-366 (2007)
  • L. Vázquez, M.P. Zorzano y S. Jiménez, Spectral Information Retrieval from Integrated Broadband Photodiode Martian Ultraviolet Measurements, Optics Letters 32, n. 17, 2596-2598 (2007)


©2009 IMI