José A. Carrillo

Orcid: 0000-0001-8819-4660

Affiliations:
  • University of Oxford, Mathematical Institute, UK
  • Imperial College London, UK (2012 - 2020)
  • Autonomous University of Barcelona, Spain (2003 - 2012)
  • University of Granada, Spain (PhD 1996)


According to our database1, José A. Carrillo authored at least 90 papers between 1997 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
Structure Preserving Primal Dual Methods for Gradient Flows with Nonlinear Mobility Transport Distances.
SIAM J. Numer. Anal., February, 2024

A Simplified Voltage-Conductance Kinetic Model for Interacting Neurons and Its Asymptotic Limit.
SIAM J. Math. Anal., February, 2024

Dissipative Measure-Valued Solutions to the Euler-Poisson Equation.
SIAM J. Math. Anal., February, 2024

A Local Continuum Model of Cell-Cell Adhesion.
SIAM J. Appl. Math., 2024

FedCBO: Reaching Group Consensus in Clustered Federated Learning through Consensus-based Optimization.
J. Mach. Learn. Res., 2024

Nonlocal particle approximation for linear and fast diffusion equations.
CoRR, 2024

Fisher-Rao Gradient Flow: Geodesic Convexity and Functional Inequalities.
CoRR, 2024

Aggregation-Diffusion Equations for Collective Behaviour in the Sciences.
CoRR, 2024

An interacting particle consensus method for constrained global optimization.
CoRR, 2024

Finite Element Approximation of the Fractional Porous Medium Equation.
CoRR, 2024

Positivity-preserving and energy-dissipating discontinuous Galerkin methods for nonlinear nonlocal Fokker-Planck equations.
CoRR, 2024

To blow-up or not to blow-up for a granular kinetic equation.
CoRR, 2024

Novel approaches for the reliable and efficient numerical evaluation of the Landau operator.
CoRR, 2024

The Collisional Particle-In-Cell Method for the Vlasov-Maxwell-Landau Equations.
CoRR, 2024

Mean-field derivation of Landau-like equations.
Appl. Math. Lett., 2024

2023
A static memory sparse spectral method for time-fractional PDEs.
J. Comput. Phys., December, 2023

The Mean Field Limit of Stochastic Differential Equation Systems Modeling Grid Cells.
SIAM J. Math. Anal., August, 2023

Bound-Preserving Finite-Volume Schemes for Systems of Continuity Equations with Saturation.
SIAM J. Appl. Math., June, 2023

Can the Clocks Tick Together Despite the Noise? Stochastic Simulations and Analysis.
SIAM J. Appl. Dyn. Syst., June, 2023

Uncertainty Quantification for the Homogeneous Landau-Fokker-Planck Equation via Deterministic Particle Galerkin methods.
CoRR, 2023

A frame approach for equations involving the fractional Laplacian.
CoRR, 2023

A particle method for the multispecies Landau equation.
CoRR, 2023

A Finite-Volume Scheme for Fractional Diffusion on Bounded Domains.
CoRR, 2023

A static memory sparse spectral method for time-fractional PDEs in arbitrary dimensions.
CoRR, 2023

2022
An Optimal Mass Transport Method for Random Genetic Drift.
SIAM J. Numer. Anal., 2022

Controlling Swarms toward Flocks and Mills.
SIAM J. Control. Optim., 2022

Computing equilibrium measures with power law kernels.
Math. Comput., 2022

A positivity-preserving scheme for fluctuating hydrodynamics.
J. Comput. Phys., 2022

Primal Dual Methods for Wasserstein Gradient Flows.
Found. Comput. Math., 2022

2021
High-Order Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations With Nonlocal Free Energy.
SIAM J. Sci. Comput., 2021

A second-order numerical method for the aggregation equations.
Math. Comput., 2021

Variational Asymptotic Preserving Scheme for the Vlasov-Poisson-Fokker-Planck System.
Multiscale Model. Simul., 2021

A finite-volume method for fluctuating dynamical density functional theory.
J. Comput. Phys., 2021

A finite volume method for continuum limit equations of nonlocally interacting active chiral particles.
J. Comput. Phys., 2021

Random batch particle methods for the homogeneous Landau equation.
CoRR, 2021

Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension.
CoRR, 2021

Consensus Based Sampling.
CoRR, 2021

Unconditional bound-preserving and energy-dissipating finite-volume schemes for the Cahn-Hilliard equation.
CoRR, 2021

2020
Phase Transitions and Bump Solutions of the Keller-Segel Model with Volume Exclusion.
SIAM J. Appl. Math., 2020

Analysis of Spherical Shell Solutions for the Radially Symmetric Aggregation Equation.
SIAM J. Appl. Dyn. Syst., 2020

Convergence of a finite volume scheme for a system of interacting species with cross-diffusion.
Numerische Mathematik, 2020

Relative entropy method for the relaxation limit of hydrodynamic models.
Networks Heterog. Media, 2020

Special issue on mathematical models for collective dynamics.
Networks Heterog. Media, 2020

Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations with General Free Energy.
Multiscale Model. Simul., 2020

A particle method for the homogeneous Landau equation.
J. Comput. Phys. X, 2020

Enhancement of damaged-image prediction through Cahn-Hilliard Image Inpainting.
CoRR, 2020

Lagrangian schemes for Wasserstein gradient flows.
CoRR, 2020

Convergence of a Fully Discrete and Energy-Dissipating Finite-Volume Scheme for Aggregation-Diffusion Equations.
CoRR, 2020

Recent development in kinetic theory of granular materials: analysis and numerical methods.
CoRR, 2020

2019
The Escalator Boxcar Train Method for a System of Age-Structured Equations in the Space of Measures.
SIAM J. Numer. Anal., 2019

Stability Analysis of Line Patterns of an Anisotropic Interaction Model.
SIAM J. Appl. Dyn. Syst., 2019

A Hybrid Mass Transport Finite Element Method for Keller-Segel Type Systems.
J. Sci. Comput., 2019

Structure preserving schemes for the continuum Kuramoto model: Phase transitions.
J. Comput. Phys., 2019

Equilibria of an anisotropic nonlocal interaction equation: Analysis and numerics.
CoRR, 2019

2018
Splitting Schemes and Segregation in Reaction Cross-Diffusion Systems.
SIAM J. Math. Anal., 2018

Zoology of a Nonlocal Cross-Diffusion Model for Two Species.
SIAM J. Appl. Math., 2018

Convergence of a linearly transformed particle method for aggregation equations.
Numerische Mathematik, 2018

A Lagrangian Scheme for the Solution of Nonlinear Diffusion Equations Using Moving Simplex Meshes.
J. Sci. Comput., 2018

Particle Interactions Mediated by Dynamical Networks: Assessment of Macroscopic Descriptions.
J. Nonlinear Sci., 2018

A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials.
J. Comput. Phys., 2018

Pedestrian Models based on Rational Behaviour.
CoRR, 2018

2017
Weak solutions for Euler systems with non-local interactions.
J. Lond. Math. Soc., 2017

2016
Convergence of a Particle Method for Diffusive Gradient Flows in One Dimension.
SIAM J. Math. Anal., 2016

Phase Transitions in a Kinetic Flocking Model of Cucker-Smale Type.
Multiscale Model. Simul., 2016

Numerical simulation of nonlinear continuity equations by evolving diffeomorphisms.
J. Comput. Phys., 2016

2015
Ground States for Diffusion Dominated Free Energies with Logarithmic Interaction.
SIAM J. Math. Anal., 2015

2014
Stability Analysis of Flock and Mill Rings for Second Order Models in Swarming.
SIAM J. Appl. Math., 2014

2013
An Asymptotic Preserving Scheme for the Diffusive Limit of Kinetic Systems for Chemotaxis.
Multiscale Model. Simul., 2013

2012
Mean-field limit for the stochastic Vicsek model.
Appl. Math. Lett., 2012

2011
A numerical solver for a nonlinear Fokker-Planck equation representation of neuronal network dynamics.
J. Comput. Phys., 2011

2010
Asymptotic Flocking Dynamics for the Kinetic Cucker-Smale Model.
SIAM J. Math. Anal., 2010

2009
Numerical Simulation of Diffusive and Aggregation Phenomena in Nonlinear Continuity Equations by Evolving Diffeomorphisms.
SIAM J. Sci. Comput., 2009

A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs.
J. Comput. Phys., 2009

2008
Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak-Keller-Segel Model.
SIAM J. Numer. Anal., 2008

Numerical Schemes of Diffusion Asymptotics and Moment Closures for Kinetic Equations.
J. Sci. Comput., 2008

Simulation of fluid and particles flows: Asymptotic preserving schemes for bubbling and flowing regimes.
J. Comput. Phys., 2008

1D nonlinear Fokker-Planck equations for fermions and bosons.
Appl. Math. Lett., 2008

2007
Nonoscillatory Interpolation Methods Applied to Vlasov-Based Models.
SIAM J. Sci. Comput., 2007

2006
Deterministic Simulation of the Boltzmann-Poisson System in GaAs-Based Semiconductors.
SIAM J. Sci. Comput., 2006

2D semiconductor device simulations by WENO-Boltzmann schemes: Efficiency, boundary conditions and comparison to Monte Carlo methods.
J. Comput. Phys., 2006

2005
Parallelization of Implicit-Explicit Runge-Kutta Methods for Cluster of PCs.
Proceedings of the Euro-Par 2005, Parallel Processing, 11th International Euro-Par Conference, Lisbon, Portugal, August 30, 2005

2004
A Numerical Study on Large-Time Asymptotics of the Lifshitz-Slyozov System.
J. Sci. Comput., 2004

Parallel integration of hydrodynamical approximations of the Boltzmann equation for rarefied gases on a cluster of computers.
J. Comput. Methods Sci. Eng., 2004

2003
Integrating Multiple Implementations and Structure Exploitation in the Component-Based Design of Parallel ODE Solvers.
Proceedings of the Recent Advances in Parallel Virtual Machine and Message Passing Interface,10th European PVM/MPI Users' Group Meeting, Venice, Italy, September 29, 2003

2002
Nonlinear Stability in <i>L<sup>p</sup></i> for a Confined System of Charged Particles.
SIAM J. Math. Anal., 2002

Component-Based Derivation of a Parallel Stiff ODE Solver Implemented in a Cluster of Computers.
Int. J. Parallel Program., 2002

Exploiting the Multilevel Parallelism and the Problem Structure in the Numerical Solution of Stiff ODEs.
Proceedings of the 10th Euromicro Workshop on Parallel, 2002

2001
Approximation of the BTE by a Relaxation-time Operator: Simulations for a 50 nm-channel Si Diode.
VLSI Design, 2001

2000
On the Evolution of an Angle in a Vortex Patch.
J. Nonlinear Sci., 2000

1997
Asymptotic Behavior of an Initial-Boundary Value Problem for the Vlasov-Poisson-Fokker-Planck System.
SIAM J. Appl. Math., 1997


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