Publications (31) JULIAN VELASCO VALDES publications

2022

  1. Convergence of solutions of a rescaled evolution nonlocal cross-diffusion problem to its local diffusion counterpart

    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 116, Núm. 3

2021

  1. Ex-post correction of pacemaker mode switch episodes in undersensed atrial fibrillation

    Computers in Biology and Medicine, Vol. 134

  2. Weakly nonlinear analysis of a system with nonlocal diffusion

    Proceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones, XVI Congreso de Matemática Aplicada: Gijón (Asturias), Spain, June 14-18, 2021

2019

  1. Well-posedness of a cross-diffusion population model with nonlocal diffusion

    SIAM Journal on Mathematical Analysis, Vol. 51, Núm. 4, pp. 2884-2902

2018

  1. Detection of cardiac arrhythmias through singular spectrum analysis of a time-distorted EGM signal

    Advances in Intelligent Systems and Computing

  2. Knowledge extraction about atrial arrhythmias through networks of biologically inspired artificial cardiac cells

    ACM International Conference Proceeding Series

  3. On a cross-diffusion system arising in image denoising

    Computers and Mathematics with Applications, Vol. 76, Núm. 5, pp. 984-996

2016

  1. Well-posedness of a nonlinear integro-differential problem and its rearranged formulation

    Nonlinear Analysis: Real World Applications, Vol. 32, pp. 74-90

2015

  1. Existence and multiplicity of segregated solutions to a cell-growth contact inhibition problem

    Discrete and Continuous Dynamical Systems- Series A, Vol. 35, Núm. 4, pp. 1479-1501

  2. Neighborhood Filters and the Decreasing Rearrangement

    Journal of Mathematical Imaging and Vision, Vol. 51, Núm. 2, pp. 279-295

  3. On a Fast Bilateral Filtering Formulation Using Functional Rearrangements

    Journal of Mathematical Imaging and Vision, Vol. 53, Núm. 3, pp. 346-363

  4. Rearranged nonlocal filters for signal denoising

    Mathematics and Computers in Simulation, Vol. 118, pp. 213-223

  5. Some nonlocal filters formulation using functional rearrangements

    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

2014

  1. Finite element approximation of a surface-subsurface coupled problem arising in forest dynamics

    Mathematics and Computers in Simulation, Vol. 102, pp. 62-75

  2. On a nonlocal spectrogram for denoising one-dimensional signals

    Applied Mathematics and Computation, Vol. 244, pp. 859-869

2013

  1. Aligned PSO for optimization of image processing methods applied to the face recognition problem

    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

  2. Finite element approximation of a population spatial adaptation model

    Mathematical Biosciences and Engineering

2011

  1. Competing through altering the environment: A cross-diffusion population model coupled to transportDarcy flow equations

    Nonlinear Analysis: Real World Applications, Vol. 12, Núm. 5, pp. 2826-2838

2009

  1. Existence of solutions and stability analysis for a Darcy flow with extraction

    Nonlinear Analysis: Real World Applications, Vol. 10, Núm. 4, pp. 2007-2020

  2. Mathematical description of the hydrodynamic regimes of an asymptotic model for two-phase flow arising in PFBC boilers

    Proceedings of the 20th International Conference on Fluidized Bed Combustion