Publications (33) Publications de FRANCISCO DE LA HOZ MENDEZ

2025

  1. Numerical approximation of Riesz-Feller operators on R

    Journal of Computational and Applied Mathematics, Vol. 454

2024

  1. NUMERICAL COMPUTATION OF THE HALF LAPLACIAN BY MEANS OF A FAST CONVOLUTION ALGORITHM

    Electronic Transactions on Numerical Analysis, Vol. 60, pp. 59-98

  2. Regular Polygonal Vortex Filament Evolution and Exponential Sums

    Acta Applicandae Mathematicae, Vol. 194, Núm. 1

2022

  1. Vortex Filament Equation for a Regular Polygon in the Hyperbolic Plane

    Journal of Nonlinear Science, Vol. 32, Núm. 1

2021

  1. A pseudospectral method for the one-dimensional fractional Laplacian on R

    Applied Mathematics and Computation, Vol. 389

2020

  1. Numerical approximation of the fractional Laplacian on R using orthogonal families

    Applied Numerical Mathematics, Vol. 158, pp. 164-193

  2. 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

  1. 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

  1. 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

  1. A pseudo-spectral method for a non-local KdV-Burgers equation posed on R

    Journal of Computational Physics, Vol. 311, pp. 45-61

  2. An analytical and numerical study of steady patches in the disc

    Analysis and PDE, Vol. 9, Núm. 7, pp. 1609-1670

  3. Doubly Connected V-States for the Generalized Surface Quasi-Geostrophic Equations

    Archive for Rational Mechanics and Analysis, Vol. 220, Núm. 3, pp. 1209-1281

  4. Doubly connected V-states for the planar euler equations

    SIAM Journal on Mathematical Analysis, Vol. 48, Núm. 3, pp. 1892-1928

  5. Numerical simulations of time-dependent partial differential equations

    Journal of Computational and Applied Mathematics, Vol. 295, pp. 175-184

2015

  1. Persistence-time estimation for some stochastic SIS epidemic models

    Discrete and Continuous Dynamical Systems - Series B, Vol. 20, Núm. 9, pp. 2933-2947

  2. The Vortex Filament Equation as a Pseudorandom Generator

    Acta Applicandae Mathematicae, Vol. 138, Núm. 1, pp. 135-151

2014

  1. The Evolution of the Local Induction Approximation for a Regular Polygon

    ESAIM: Proceedings and Surveys

  2. Vortex filament equation for a regular polygon

    Nonlinearity, Vol. 27, Núm. 12, pp. 3031-3057

2013

  1. A Sylvester-based IMEX method via differentiation matrices for solving nonlinear parabolic equations

    Communications in Computational Physics, Vol. 14, Núm. 4, pp. 1001-1026

  2. The solution of two-dimensional advection-diffusion equations via operational matrices

    Applied Numerical Mathematics, Vol. 72, pp. 172-187