Francisco
de la Hoz Méndez
Publicaciones (32) Publicaciones de Francisco de la Hoz Méndez
2025
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Numerical approximation of Riesz-Feller operators on R
Journal of Computational and Applied Mathematics, Vol. 454
2024
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NUMERICAL COMPUTATION OF THE HALF LAPLACIAN BY MEANS OF A FAST CONVOLUTION ALGORITHM
Electronic Transactions on Numerical Analysis, Vol. 60, pp. 59-98
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Regular Polygonal Vortex Filament Evolution and Exponential Sums
Acta Applicandae Mathematicae, Vol. 194, Núm. 1
2022
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Vortex Filament Equation for a Regular Polygon in the Hyperbolic Plane
Journal of Nonlinear Science, Vol. 32, Núm. 1
2021
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A pseudospectral method for the one-dimensional fractional Laplacian on R
Applied Mathematics and Computation, Vol. 389
2020
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Numerical approximation of the fractional Laplacian on R using orthogonal families
Applied Numerical Mathematics, Vol. 158, pp. 164-193
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On the evolution of the vortex filament equation for regular m-polygons with nonzero torsion
SIAM Journal on Applied Mathematics, Vol. 80, Núm. 2, pp. 1034-1056
2018
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On the Relationship Between the One-Corner Problem and the M-Corner Problem for the Vortex Filament Equation
Journal of Nonlinear Science, Vol. 28, Núm. 6, pp. 2275-2327
2017
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Doubly Connected V-States for the Generalized Surface Quasi-geostrophic Equations
Evolution Equations: Long time behavior and control (Cambridge University Press), pp. 90-117
2016
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A pseudo-spectral method for a non-local KdV-Burgers equation posed on R
Journal of Computational Physics, Vol. 311, pp. 45-61
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An analytical and numerical study of steady patches in the disc
Analysis and PDE, Vol. 9, Núm. 7, pp. 1609-1670
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Doubly Connected V-States for the Generalized Surface Quasi-Geostrophic Equations
Archive for Rational Mechanics and Analysis, Vol. 220, Núm. 3, pp. 1209-1281
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Doubly connected V-states for the planar euler equations
SIAM Journal on Mathematical Analysis, Vol. 48, Núm. 3, pp. 1892-1928
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Numerical simulations of time-dependent partial differential equations
Journal of Computational and Applied Mathematics, Vol. 295, pp. 175-184
2015
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Persistence-time estimation for some stochastic SIS epidemic models
Discrete and Continuous Dynamical Systems - Series B, Vol. 20, Núm. 9, pp. 2933-2947
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The Vortex Filament Equation as a Pseudorandom Generator
Acta Applicandae Mathematicae, Vol. 138, Núm. 1, pp. 135-151
2014
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The Evolution of the Local Induction Approximation for a Regular Polygon
ESAIM: Proceedings and Surveys
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Vortex filament equation for a regular polygon
Nonlinearity, Vol. 27, Núm. 12, pp. 3031-3057
2013
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A Sylvester-based IMEX method via differentiation matrices for solving nonlinear parabolic equations
Communications in Computational Physics, Vol. 14, Núm. 4, pp. 1001-1026
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The solution of two-dimensional advection-diffusion equations via operational matrices
Applied Numerical Mathematics, Vol. 72, pp. 172-187