Asymptotic Behavior of an Initial-Boundary Value Problem for the Vlasov-Poisson-Fokker-Planck System. - Juan Soler 001; José A. Carrillo 001; Luis L. Bonilla (SIAM J. Appl. Math., 1997)

On the Evolution of an Angle in a Vortex Patch. - José A. Carrillo 001; Juan Soler 001 (J. Nonlinear Sci., 2000)

Approximation of the BTE by a Relaxation-time Operator: Simulations for a 50 nm-channel Si Diode. - Marcello A. Anile; José A. Carrillo 001; Irene M. Gamba; Chi-Wang Shu (VLSI Design, 2001)

Exploiting the Multilevel Parallelism and the Problem Structure in the Numerical Solution of Stiff ODEs. - José Miguel Mantas Ruiz; Julio Ortega 001; Jose Antonio Carrillo de la Plata (PDP, 2002)

Component-Based Derivation of a Parallel Stiff ODE Solver Implemented in a Cluster of Computers. - José Miguel Mantas Ruiz; Julio Ortega Lopera; Jose Antonio Carrillo de la Plata (Int. J. Parallel Program., 2002)

Nonlinear Stability in Lp for a Confined System of Charged Particles. - María J. Cáceres; José A. Carrillo 001; Jean Dolbeault (SIAM J. Math. Anal., 2002)

Integrating Multiple Implementations and Structure Exploitation in the Component-Based Design of Parallel ODE Solvers. - José Miguel Mantas Ruiz; Julio Ortega 001; Jose Antonio Carrillo de la Plata (PVM/MPI, 2003)

Parallel integration of hydrodynamical approximations of the Boltzmann equation for rarefied gases on a cluster of computers. - José Miguel Mantas Ruiz; Lorenzo Pareschi; José A. Carrillo 001; Julio Ortega Lopera (J. Comput. Methods Sci. Eng., 2004)

A Numerical Study on Large-Time Asymptotics of the Lifshitz-Slyozov System. - José A. Carrillo 001; Thierry Goudon (J. Sci. Comput., 2004)

Parallelization of Implicit-Explicit Runge-Kutta Methods for Cluster of PCs. - José Miguel Mantas; Pedro González 002; José A. Carrillo 001 (Euro-Par, 2005)

2D semiconductor device simulations by WENO-Boltzmann schemes: Efficiency, boundary conditions and comparison to Monte Carlo methods. - José A. Carrillo 001; Irene M. Gamba; Armando Majorana; Chi-Wang Shu (J. Comput. Phys., 2006)

Deterministic Simulation of the Boltzmann-Poisson System in GaAs-Based Semiconductors. - María J. Cáceres; José A. Carrillo 001; Armando Majorana (SIAM J. Sci. Comput., 2006)

Nonoscillatory Interpolation Methods Applied to Vlasov-Based Models. - José A. Carrillo 001; Francesco Vecil (SIAM J. Sci. Comput., 2007)

1D nonlinear Fokker-Planck equations for fermions and bosons. - José A. Carrillo 001; Jesús Rosado; Francesco Salvarani (Appl. Math. Lett., 2008)

Simulation of fluid and particles flows: Asymptotic preserving schemes for bubbling and flowing regimes. - José A. Carrillo 001; Thierry Goudon; Pauline Lafitte (J. Comput. Phys., 2008)

Numerical Schemes of Diffusion Asymptotics and Moment Closures for Kinetic Equations. - José A. Carrillo 001; Thierry Goudon; Pauline Lafitte; Francesco Vecil (J. Sci. Comput., 2008)

Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak-Keller-Segel Model. - Adrien Blanchet; Vincent Calvez; José A. Carrillo 001 (SIAM J. Numer. Anal., 2008)

A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs. - Naoufel Ben Abdallah; María J. Cáceres; José A. Carrillo 001; Francesco Vecil (J. Comput. Phys., 2009)

Numerical Simulation of Diffusive and Aggregation Phenomena in Nonlinear Continuity Equations by Evolving Diffeomorphisms. - José A. Carrillo 001; J. S. Moll (SIAM J. Sci. Comput., 2009)

Asymptotic Flocking Dynamics for the Kinetic Cucker-Smale Model. - José A. Carrillo 001; Massimo Fornasier; Jesús Rosado; Giuseppe Toscani (SIAM J. Math. Anal., 2010)

A numerical solver for a nonlinear Fokker-Planck equation representation of neuronal network dynamics. - María J. Cáceres; José A. Carrillo 001; Louis Tao (J. Comput. Phys., 2011)

Mean-field limit for the stochastic Vicsek model. - François Bolley; José A. Cañizo; José A. Carrillo 001 (Appl. Math. Lett., 2012)

An Asymptotic Preserving Scheme for the Diffusive Limit of Kinetic Systems for Chemotaxis. - José A. Carrillo 001; Bokai Yan (Multiscale Model. Simul., 2013)

Stability Analysis of Flock and Mill Rings for Second Order Models in Swarming. - Giacomo Albi; D. Balagué; José A. Carrillo 001; James H. von Brecht (SIAM J. Appl. Math., 2014)

Ground States for Diffusion Dominated Free Energies with Logarithmic Interaction. - José Antonio Carrillo 001; Daniele Castorina; Bruno Volzone (SIAM J. Math. Anal., 2015)

Numerical simulation of nonlinear continuity equations by evolving diffeomorphisms. - José A. Carrillo 001; Helene Ranetbauer; Marie-Therese Wolfram (J. Comput. Phys., 2016)

Phase Transitions in a Kinetic Flocking Model of Cucker-Smale Type. - Alethea B. T. Barbaro; José A. Cañizo; José A. Carrillo 001; Pierre Degond (Multiscale Model. Simul., 2016)

Convergence of a Particle Method for Diffusive Gradient Flows in One Dimension. - José A. Carrillo 001; Francesco Saverio Patacchini; Peter Sternberg; Gershon Wolansky (SIAM J. Math. Anal., 2016)

Weak solutions for Euler systems with non-local interactions. - José A. Carrillo 001; Eduard Feireisl; Piotr Gwiazda; Agnieszka Swierczewska-Gwiazda (J. Lond. Math. Soc., 2017)

Pedestrian Models based on Rational Behaviour. - Rafael Bailo; José A. Carrillo 001; Pierre Degond (CoRR, 2018)

A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials. - Zheng Sun 004; José A. Carrillo 001; Chi-Wang Shu (J. Comput. Phys., 2018)

Particle Interactions Mediated by Dynamical Networks: Assessment of Macroscopic Descriptions. - Julien Barré; José A. Carrillo 001; Pierre Degond; Diane Peurichard; Ewelina Zatorska (J. Nonlinear Sci., 2018)

A Lagrangian Scheme for the Solution of Nonlinear Diffusion Equations Using Moving Simplex Meshes. - José A. Carrillo 001; Bertram Düring; Daniel Matthes; David S. McCormick (J. Sci. Comput., 2018)

Convergence of a linearly transformed particle method for aggregation equations. - Martin Campos Pinto; José A. Carrillo 001; Frédérique Charles; Young-Pil Choi (Numerische Mathematik, 2018)

Zoology of a Nonlocal Cross-Diffusion Model for Two Species. - José A. Carrillo 001; Yanghong Huang; Markus Schmidtchen (SIAM J. Appl. Math., 2018)

Splitting Schemes and Segregation in Reaction Cross-Diffusion Systems. - José A. Carrillo 001; Simone Fagioli; Filippo Santambrogio; Markus Schmidtchen (SIAM J. Math. Anal., 2018)

Equilibria of an anisotropic nonlocal interaction equation: Analysis and numerics. - José A. Carrillo 001; Bertram Düring; Lisa Maria Kreusser; Carola-Bibiane Schönlieb (CoRR, 2019)

Structure preserving schemes for the continuum Kuramoto model: Phase transitions. - José A. Carrillo 001; Young-Pil Choi; Lorenzo Pareschi (J. Comput. Phys., 2019)

A Hybrid Mass Transport Finite Element Method for Keller-Segel Type Systems. - José A. Carrillo 001; Niklas Kolbe; Mária Lukácová-Medvid'ová (J. Sci. Comput., 2019)

Stability Analysis of Line Patterns of an Anisotropic Interaction Model. - José A. Carrillo 001; Bertram Düring; Lisa Maria Kreusser; Carola-Bibiane Schönlieb (SIAM J. Appl. Dyn. Syst., 2019)

The Escalator Boxcar Train Method for a System of Age-Structured Equations in the Space of Measures. - José Antonio Carrillo 001; Piotr Gwiazda; Karolina Kropielnicka; Anna K. Marciniak-Czochra (SIAM J. Numer. Anal., 2019)

Recent development in kinetic theory of granular materials: analysis and numerical methods. - José Antonio Carrillo 001; Jingwei Hu; Zheng Ma 011; Thomas Rey (CoRR, 2020)

Convergence of a Fully Discrete and Energy-Dissipating Finite-Volume Scheme for Aggregation-Diffusion Equations. - Rafael Bailo; José A. Carrillo 001; Hideki Murakawa; Markus Schmidtchen (CoRR, 2020)

Lagrangian schemes for Wasserstein gradient flows. - José A. Carrillo 001; Daniel Matthes; Marie-Therese Wolfram (CoRR, 2020)

Enhancement of damaged-image prediction through Cahn-Hilliard Image Inpainting. - José A. Carrillo 001; Serafim Kalliadasis; Fuyue Liang; Sergio P. Perez (CoRR, 2020)

A particle method for the homogeneous Landau equation. - José A. Carrillo 001; Jingwei Hu; Li Wang 036; Jeremy Wu (J. Comput. Phys. X, 2020)

Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations with General Free Energy. - José A. Carrillo 001; Serafim Kalliadasis; Sergio P. Perez; Chi-Wang Shu (Multiscale Model. Simul., 2020)

Special issue on mathematical models for collective dynamics. - José Antonio Carrillo 001; Seung-Yeal Ha; Lorenzo Pareschi; Benedetto Piccoli (Networks Heterog. Media, 2020)

Relative entropy method for the relaxation limit of hydrodynamic models. - José Antonio Carrillo 001; Yingping Peng; Aneta Wróblewska-Kaminska (Networks Heterog. Media, 2020)

Convergence of a finite volume scheme for a system of interacting species with cross-diffusion. - José A. Carrillo 001; Francis Filbet; Markus Schmidtchen (Numerische Mathematik, 2020)

Analysis of Spherical Shell Solutions for the Radially Symmetric Aggregation Equation. - Daniel Balagué Guardia; Alethea Barbaro; José A. Carrillo 001; Robert Volkin (SIAM J. Appl. Dyn. Syst., 2020)

Phase Transitions and Bump Solutions of the Keller-Segel Model with Volume Exclusion. - José A. Carrillo 001; Xinfu Chen; Qi Wang 007; Zhian Wang; Lu Zhang 037 (SIAM J. Appl. Math., 2020)

Unconditional bound-preserving and energy-dissipating finite-volume schemes for the Cahn-Hilliard equation. - Rafael Bailo; José A. Carrillo 001; Serafim Kalliadasis; Sergio P. Perez (CoRR, 2021)

Consensus Based Sampling. - José Antonio Carrillo 001; Franca Hoffmann; Andrew M. Stuart; Urbain Vaes (CoRR, 2021)

Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension. - Timon S. Gutleb; José A. Carrillo 001; Sheehan Olver (CoRR, 2021)

Random batch particle methods for the homogeneous Landau equation. - José Antonio Carrillo 001; Shi Jin; Yijia Tang (CoRR, 2021)

A finite volume method for continuum limit equations of nonlocally interacting active chiral particles. - Nikita Kruk; José A. Carrillo 001; Heinz Koeppl (J. Comput. Phys., 2021)

A finite-volume method for fluctuating dynamical density functional theory. - Antonio Russo; Sergio P. Perez; Miguel A. Durán-Olivencia; Peter Yatsyshin; José A. Carrillo 001; Serafim Kalliadasis (J. Comput. Phys., 2021)

Variational Asymptotic Preserving Scheme for the Vlasov-Poisson-Fokker-Planck System. - José A. Carrillo 001; Li Wang 101; Wuzhe Xu; Ming Yan 006 (Multiscale Model. Simul., 2021)

A second-order numerical method for the aggregation equations. - José A. Carrillo 001; Ulrik S. Fjordholm; Susanne Solem (Math. Comput., 2021)

High-Order Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations With Nonlocal Free Energy. - José A. Carrillo 001; Manuel J. Castro; Serafim Kalliadasis; Sergio P. Perez (SIAM J. Sci. Comput., 2021)

Primal Dual Methods for Wasserstein Gradient Flows. - José A. Carrillo 001; Katy Craig; Li Wang 101; Chaozhen Wei (Found. Comput. Math., 2022)

A positivity-preserving scheme for fluctuating hydrodynamics. - Francesco Magaletti; Mirko Gallo; Sergio P. Perez; José A. Carrillo 001; Serafim Kalliadasis (J. Comput. Phys., 2022)

Computing equilibrium measures with power law kernels. - Timon S. Gutleb; José A. Carrillo 001; Sheehan Olver (Math. Comput., 2022)

Controlling Swarms toward Flocks and Mills. - José A. Carrillo 001; Dante Kalise; Francesco Rossi; Emmanuel Trélat (SIAM J. Control. Optim., 2022)

An Optimal Mass Transport Method for Random Genetic Drift. - José A. Carrillo 001; Lin Chen; Qi Wang 007 (SIAM J. Numer. Anal., 2022)

A static memory sparse spectral method for time-fractional PDEs in arbitrary dimensions. - Timon S. Gutleb; José A. Carrillo 001 (CoRR, 2023)

A Finite-Volume Scheme for Fractional Diffusion on Bounded Domains. - Rafael Bailo; José A. Carrillo 001; Stefano Fronzoni; David Gómez-Castro (CoRR, 2023)

A particle method for the multispecies Landau equation. - José A. Carrillo 001; Jingwei Hu; Samuel Q. Van Fleet (CoRR, 2023)

A frame approach for equations involving the fractional Laplacian. - Ioannis P. A. Papadopoulos; Timon S. Gutleb; José A. Carrillo 001; Sheehan Olver (CoRR, 2023)

Can the Clocks Tick Together Despite the Noise? Stochastic Simulations and Analysis. - Stéphanie M. C. Abo; José A. Carrillo 001; Anita T. Layton (SIAM J. Appl. Dyn. Syst., 2023)

Bound-Preserving Finite-Volume Schemes for Systems of Continuity Equations with Saturation. - Rafael Bailo; José A. Carrillo 001; Jingwei Hu (SIAM J. Appl. Math., 2023)

The Mean Field Limit of Stochastic Differential Equation Systems Modeling Grid Cells. - José A. Carrillo 001; Andrea Clini; Susanne Solem (SIAM J. Math. Anal., 2023)

A static memory sparse spectral method for time-fractional PDEs. - Timon S. Gutleb; José A. Carrillo 001 (J. Comput. Phys., 2023)

Mean-field derivation of Landau-like equations. - José Antonio Carrillo 001; Shuchen Guo; Pierre-Emmanuel Jabin (Appl. Math. Lett., 2024)

The Collisional Particle-In-Cell Method for the Vlasov-Maxwell-Landau Equations. - Rafael Bailo; José A. Carrillo 001; Jingwei Hu (CoRR, 2024)

Novel approaches for the reliable and efficient numerical evaluation of the Landau operator. - José Antonio Carrillo 001; Mechthild Thalhammer (CoRR, 2024)

To blow-up or not to blow-up for a granular kinetic equation. - José A. Carrillo 001; Ruiwen Shu; Li Wang 101; Wuzhe Xu (CoRR, 2024)

Positivity-preserving and energy-dissipating discontinuous Galerkin methods for nonlinear nonlocal Fokker-Planck equations. - José A. Carrillo 001; Hailiang Liu; Hui Yu (CoRR, 2024)

Finite Element Approximation of the Fractional Porous Medium Equation. - José A. Carrillo 001; Stefano Fronzoni; Endre Süli (CoRR, 2024)

An interacting particle consensus method for constrained global optimization. - José A. Carrillo 001; Shi Jin; Haoyu Zhang; Yuhua Zhu (CoRR, 2024)

Aggregation-Diffusion Equations for Collective Behaviour in the Sciences. - Rafael Bailo; José A. Carrillo 001; David Gómez-Castro (CoRR, 2024)

Fisher-Rao Gradient Flow: Geodesic Convexity and Functional Inequalities. - José A. Carrillo 001; Yifan Chen; Daniel Zhengyu Huang; Jiaoyang Huang; Dongyi Wei (CoRR, 2024)

Nonlocal particle approximation for linear and fast diffusion equations. - José Antonio Carrillo 001; Antonio Esposito; Jakub Skrzeczkowski; Jeremy Sheung-Him Wu (CoRR, 2024)

Aggregation-diffusion equations with saturation. - José Antonio Carrillo 001; Alejandro Fernández-Jiménez; David Gómez-Castro (CoRR, 2024)

The Stein-log-Sobolev inequality and the exponential rate of convergence for the continuous Stein variational gradient descent method. - José A. Carrillo 001; Jakub Skrzeczkowski; Jethro Warnett (CoRR, 2024)

FedCBO: Reaching Group Consensus in Clustered Federated Learning through Consensus-based Optimization. - José A. Carrillo 001; Nicolás García Trillos; Sixu Li; Yuhua Zhu (J. Mach. Learn. Res., 2024)

Convergence and stability results for the particle system in the Stein gradient descent method. - José A. Carrillo 001; Jakub Skrzeczkowski (Math. Comput., 2024)

A Local Continuum Model of Cell-Cell Adhesion. - Carles Falcó; Ruth E. Baker; José A. Carrillo 001 (SIAM J. Appl. Math., 2024)

Convergence of Boundary Layers of Chemotaxis Models with Physical Boundary Conditions I: Degenerate Initial Data. - José A. Carrillo 001; Guangyi Hong; Zhi-An Wang (SIAM J. Math. Anal., 2024)

The Mean-Field Ensemble Kalman Filter: Near-Gaussian Setting. - José A. Carrillo 001; F. Hoffmann; Andrew M. Stuart; Urbain Vaes (SIAM J. Numer. Anal., 2024)

Dissipative Measure-Valued Solutions to the Euler-Poisson Equation. - José A. Carrillo 001; Tomasz Debiec; Piotr Gwiazda; Agnieszka Swierczewska-Gwiazda (SIAM J. Math. Anal., 2024)

A Simplified Voltage-Conductance Kinetic Model for Interacting Neurons and Its Asymptotic Limit. - José A. Carrillo 001; Xu'an Dou; Zhennan Zhou (SIAM J. Math. Anal., 2024)

Structure Preserving Primal Dual Methods for Gradient Flows with Nonlinear Mobility Transport Distances. - José A. Carrillo 001; Li Wang; Chaozhen Wei (SIAM J. Numer. Anal., 2024)

Uncertainty Quantification for the Homogeneous Landau-Fokker-Planck Equation via Deterministic Particle Galerkin Methods. - Rafael Bailo; José A. Carrillo 001; Andrea Medaglia; Mattia Zanella (Multiscale Model. Simul., 2025)

A new paradigm considering multicellular adhesion, repulsion and attraction represent diverse cellular tile patterns. - José A. Carrillo 001; Hideki Murakawa; Makoto Sato; Miaoxing Wang (PLoS Comput. Biol., 2025)

A Nonlocal-to-Local Approach to Aggregation-Diffusion Equations. - Carles Falcó; Ruth E. Baker; José A. Carrillo 001 (SIAM Rev., 2025)

A Unified Perspective on the Dynamics of Deep Transformers. - Valérie Castin; Pierre Ablin; José Antonio Carrillo 001; Gabriel Peyré (CoRR, 2025)

Rate of Convergence for a Nonlocal-to-local Limit in One Dimension. - José A. Carrillo 001; Charles Elbar; Stefano Fronzoni; Jakub Skrzeczkowski (CoRR, 2025)

A minimax method for the spectral fractional Laplacian and related evolution problems. - José A. Carrillo 001; Stefano Fronzoni; Yuji Nakatsukasa; Endre Süli (CoRR, 2025)