María J. Cáceres
Cytowane przez
Cytowane przez
Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states
MJ Cáceres, JA Carrillo, B Perthame
The Journal of Mathematical Neuroscience 1 (1), 1-33, 2011
Microscopic approach of a time elapsed neural model
J Chevallier, MJ Cáceres, M Doumic, P Reynaud-Bouret
Mathematical Models and Methods in Applied Sciences 25 (14), 2669-2719, 2015
Equilibration rate for the linear inhomogeneous relaxation-time Boltzmann equation for charged particles
MJ Cáceres, JA Carrillo, T Goudon
Taylor & Francis Group 28 (5-6), 969-989, 2003
A BGK relaxation model for polyatomic gas mixtures
M Bisi, MJ Cáceres
Communications in Mathematical Sciences 14 (2), 297-325, 2016
Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations
MJ Cáceres, JA Cañizo, S Mischler
Journal de mathématiques pures et appliquées 96 (4), 334-362, 2011
Long-time behavior for a nonlinear fourth-order parabolic equation
M Cáceres, J Carrillo, G Toscani
Transactions of the American Mathematical Society 357 (3), 1161-1175, 2005
A numerical solver for a nonlinear Fokker–Planck equation representation of neuronal network dynamics
MJ Cáceres, JA Carrillo, L Tao
Journal of Computational Physics 230 (4), 1084-1099, 2011
Nonlinear Stability in Lp for a Confined System of Charged Particles
MJ Cáceres, JA Carrillo, J Dolbeault
SIAM journal on mathematical analysis 34 (2), 478-494, 2002
Beyond blow-up in excitatory integrate and fire neuronal networks: refractory period and spontaneous activity
MJ Caceres, B Perthame
Journal of theoretical biology 350, 81-89, 2014
A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs
NB Abdallah, MJ Cáceres, JA Carrillo, F Vecil
Journal of Computational Physics 228 (17), 6553-6571, 2009
Kinetic approach to long time behavior of linearized fast diffusion equations
MJ Cáceres, G Toscani
Journal of Statistical Physics 128, 883-925, 2007
Blow-up, steady states and long time behaviour of excitatory-inhibitory nonlinear neuron models
MJ Cáceres, R Schneider
arXiv preprint arXiv:1602.05604, 2016
Analysis and numerical solver for excitatory-inhibitory networks with delay and refractory periods
MJ Cáceres, R Schneider
ESAIM: Mathematical Modelling and Numerical Analysis 52 (5), 1733-1761, 2018
Rate of convergence to self-similarity for the fragmentation equation in L^ 1 spaces
MJ Cáceres, JA Cañizo, S Mischler
arXiv preprint arXiv:1102.3661, 2011
The BGK model with external confining potential: existence, long-time behaviour and time-periodic Maxwellian equilibria
R Bosi, MJ Cáceres
Journal of Statistical Physics 136, 297-330, 2009
Deterministic Simulation of the Boltzmann--Poisson System in GaAs-Based Semiconductors
MJ Cáceres, JA Carrillo, A Majorana
SIAM Journal on Scientific Computing 27 (6), 1981-2009, 2006
Deterministic kinetic solvers for charged particle transport in semiconductor devices
MJ Caceres, JA Carrillo, IM Gamba, A Majorana, CW Shu
Transport Phenomena and Kinetic Theory: Applications to Gases …, 2007
A parallel deterministic solver for the Schrödinger–Poisson–Boltzmann system in ultra-short DG-MOSFETs: Comparison with Monte-Carlo
F Vecil, JM Mantas, MJ Cáceres, C Sampedro, A Godoy, F Gámiz
Computers & Mathematics with Applications 67 (9), 1703-1721, 2014
Global-in-time solutions and qualitative properties for the NNLIF neuron model with synaptic delay
MJ Cáceres, P Roux, D Salort, R Schneider
Communications in Partial Differential Equations 44 (12), 1358-1386, 2019
Close-to-equilibrium behaviour of quadratic reaction–diffusion systems with detailed balance
MJ Caceres, JA Cañizo
Nonlinear Analysis 159, 62-84, 2017
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