Research interests:
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Studies associated to Mars.
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Applications of Fractional Calculus.
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Numerical schemes.
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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.
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M. Rivero, J.J. Trujillo, L. Vazquez and M.P. Velasco.
Fractional Dynamics of Populations. Applied Mathematics and
Computation, 218, 1089-1095 (2011).
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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)
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