A Deterministic Approximation of Diffusion Equations Using Particles. - Pierre Degond; Francisco-José Mustieles (SIAM J. Sci. Comput., 1990)

A Model of Near-Wall Conductivity and Its Application to Plasma Thrusters. - Pierre Degond (SIAM J. Appl. Math., 1998)

Numerical Discretization of Energy-Transport Models for Semiconductors with Nonparabolic Band Structure. - Pierre Degond; Ansgar Jüngel; Paola Pietra (SIAM J. Sci. Comput., 2000)

A relaxation approximation for transport equations in the diffusive limit. - Pierre Degond; Axel Klar (Appl. Math. Lett., 2002)

Viscoelastic Fluid Models Derived from Kinetic Equations for Polymers. - Mohammed Lemou; Marco Picasso; Pierre Degond (SIAM J. Appl. Math., 2002)

Diffusion Approximation of a Scattering Matrix Model of a Semiconductor Superlattice. - Kaijun Zhang; Pierre Degond (SIAM J. Appl. Math., 2002)

Homogenization of a Flow in a Periodic Channel of Small Section. - Kazuo Aoki; Pierre Degond (Multiscale Model. Simul., 2003)

Plasma Expansion in Vacuum: Modeling the Breakdown of Quasi Neutrality. - Pierre Degond; Céline Parzani; Marie Hélène Vignal (Multiscale Model. Simul., 2003)

Instability of the Ionospheric Plasma: Modeling and Analysis. - Christophe Besse; Jean Claudel; Pierre Degond; Fabrice Deluzet; Gérard Gallice; Christian Tessieras (SIAM J. Appl. Math., 2005)

A Smooth Transition Model between Kinetic and Diffusion Equations. - Pierre Degond; Shi Jin 003 (SIAM J. Numer. Anal., 2005)

Numerical Modeling of Plasma - Flow Interaction. - Jean-Charles Matéo-Vélez; François Rogier; Frédéric Thivet; Pierre Degond (International Conference on Computational Science (2), 2006)

Macroscopic Fluid Models with Localized Kinetic Upscaling Effects. - Pierre Degond; Jian-Guo Liu 006; Luc Mieussens (Multiscale Model. Simul., 2006)

A Boltzmann Model for Trapped Particles in a Surface Potential. - Pierre Degond; Céline Parzani; Marie Hélène Vignal (Multiscale Model. Simul., 2006)

A Model for the Dynamics of large Queuing Networks and Supply Chains. - Dieter Armbruster; Pierre Degond; Christian A. Ringhofer (SIAM J. Appl. Math., 2006)

On a New Isothermal Quantum Euler Model: Derivation, Asymptotic Analysis and Simulation. - Pierre Degond; Samy Gallego; Florian Méhats (International Conference on Computational Science (1), 2007)

Numerical simulations of the ionospheric striation model in a non-uniform magnetic field. - Christophe Besse; Jean Claudel; Pierre Degond; Fabrice Deluzet; Gérard Gallice; Christian Tessieras (Comput. Phys. Commun., 2007)

Mathematical models of electrical discharges in air at atmospheric pressure: a derivation from asymptotic analysis. - Pierre Degond; Brigitte Lucquin-Desreux (Int. J. Comput. Sci. Math., 2007)

An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit. - Pierre Crispel; Pierre Degond; Marie Hélène Vignal (J. Comput. Phys., 2007)

A moving interface method for dynamic kinetic-fluid coupling. - Pierre Degond; Giacomo Dimarco; Luc Mieussens (J. Comput. Phys., 2007)

An entropic quantum drift-diffusion model for electron transport in resonant tunneling diodes. - Pierre Degond; Samy Gallego; Florian Méhats (J. Comput. Phys., 2007)

A Network Model for Supply Chains with Multiple Policies. - Pierre Degond; Simone Göttlich; Michael Herty; Axel Klar (Multiscale Model. Simul., 2007)

Isothermal Quantum Hydrodynamics: Derivation, Asymptotic Analysis, and Simulation. - Pierre Degond; Samy Gallego; Florian Méhats (Multiscale Model. Simul., 2007)

Stochastic Dynamics of Long Supply Chains with Random Breakdowns. - Pierre Degond; Christian A. Ringhofer (SIAM J. Appl. Math., 2007)

A Diffusion Model for Rarefied Flows in Curved Channels. - Kazuo Aoki; Pierre Degond; Luc Mieussens; Shigeru Takata; Hiroaki Yoshida (Multiscale Model. Simul., 2008)

Analysis of an Asymptotic Preserving Scheme for the Euler-Poisson System in the Quasineutral Limit. - Pierre Degond; Jian-Guo Liu 006; Marie Hélène Vignal (SIAM J. Numer. Anal., 2008)

On the Time Splitting Spectral Method for the Complex Ginzburg-Landau Equation in the Large Time and Space Scale Limit. - Pierre Degond; Shi Jin 003; Min Tang 002 (SIAM J. Sci. Comput., 2008)

An Asymptotic Preserving scheme for the Euler equations in a strong magnetic field. - Pierre Degond; Fabrice Deluzet; A. Sangam; Marie Hélène Vignal (J. Comput. Phys., 2009)

An Asymptotically Stable Semi-Lagrangian scheme in the Quasi-neutral Limit. - R. Belaouar; Nicolas Crouseilles; Pierre Degond; Eric Sonnendrücker (J. Sci. Comput., 2009)

A strong ionization model in plasma physics. - Isabelle Choquet; Pierre Degond; Brigitte Lucquin-Desreux (Math. Comput. Model., 2009)

An Asymptotic Preserving Scheme for Strongly Anisotropic Elliptic Problems. - Pierre Degond; Fabrice Deluzet; Claudia Negulescu (Multiscale Model. Simul., 2009)

Kinetic models for polymers with inertial effects. - Pierre Degond; Hailiang Liu (Networks Heterog. Media, 2009)

A multiscale kinetic-fluid solver with dynamic localization of kinetic effects. - Pierre Degond; Giacomo Dimarco; Luc Mieussens (J. Comput. Phys., 2010)

Asymptotic-Preserving Particle-In-Cell method for the Vlasov-Poisson system near quasineutrality. - Pierre Degond; Fabrice Deluzet; Laurent Navoret; An-Bang Sun; Marie Hélène Vignal (J. Comput. Phys., 2010)

Numerical simulations of the Euler system with congestion constraint. - Pierre Degond; Jiale Hua; Laurent Navoret (J. Comput. Phys., 2011)

Two-way multi-lane traffic model for pedestrians in corridors. - Cécile Appert-Rolland; Pierre Degond; Sébastien Motsch (Networks Heterog. Media, 2011)

Lane Detection in Pedestrian Motion and Entropy-based Order Index. - Olivier Chabiron; Jérôme Fehrenbach; Pierre Degond; Mehdi Moussaïd; Julien Pettré; Samuel Lemercier (ICPRAM (1), 2012)

Realistic following behaviors for crowd simulation. - Samuel Lemercier; Asja Jelic; Richard Kulpa; Jiale Hua; Jérôme Fehrenbach; Pierre Degond; Cécile Appert-Rolland; Stéphane Donikian; Julien Pettré (Comput. Graph. Forum, 2012)

An Asymptotic-Preserving all-speed scheme for the Euler and Navier-Stokes equations. - Floraine Cordier; Pierre Degond; Anela Kumbaro (J. Comput. Phys., 2012)

Fluid simulations with localized boltzmann upscaling by direct simulation Monte-Carlo. - Pierre Degond; Giacomo Dimarco (J. Comput. Phys., 2012)

Numerical approximation of the Euler-Maxwell model in the quasineutral limit. - Pierre Degond; Fabrice Deluzet; D. Savelief (J. Comput. Phys., 2012)

An asymptotic-preserving method for highly anisotropic elliptic equations based on a Micro-Macro decomposition. - Pierre Degond; Alexei Lozinski; Jacek Narski; Claudia Negulescu (J. Comput. Phys., 2012)

Numerical Approximation of the Euler-Poisson-Boltzmann Model in the Quasineutral Limit. - Pierre Degond; Hailiang Liu; D. Savelief; Marie Hélène Vignal (J. Sci. Comput., 2012)

Traffic Instabilities in Self-Organized Pedestrian Crowds. - Mehdi Moussaïd; Elsa G. Guillot; Mathieu Moreau; Jérôme Fehrenbach; Olivier Chabiron; Samuel Lemercier; Julien Pettré; Cécile Appert-Rolland; Pierre Degond; Guy Theraulaz (PLoS Comput. Biol., 2012)

Self-organized hydrodynamics with congestion and path formation in crowds. - Pierre Degond; Jiale Hua (J. Comput. Phys., 2013)

Macroscopic Limits and Phase Transition in a System of Self-propelled Particles. - Pierre Degond; Amic Frouvelle; Jian-Guo Liu 006 (J. Nonlinear Sci., 2013)

Large-Scale Dynamics of Mean-Field Games Driven by Local Nash Equilibria. - Pierre Degond; Jian-Guo Liu 006; Christian A. Ringhofer (J. Nonlinear Sci., 2014)

Phase Appearance or Disappearance in Two-Phase Flows. - Floraine Cordier; Pierre Degond; Anela Kumbaro (J. Sci. Comput., 2014)

Flow on Sweeping Networks. - Pierre Degond; Michael Herty; Jian-Guo Liu 006 (Multiscale Model. Simul., 2014)

Nonconforming Multiscale Finite Element Method for Stokes Flows in Heterogeneous Media. Part I: Methodologies and Numerical Experiments. - Bagus Putra Muljadi; Jacek Narski; Alexei Lozinski; Pierre Degond (Multiscale Model. Simul., 2015)

Special issue on Modeling and Control in Social Dynamics. - Pierre Degond; Gadi Fibich; Benedetto Piccoli; Eitan Tadmor (Networks Heterog. Media, 2015)

Time-delayed Follow-the-Leader model for pedestrians walking in line. - Jérôme Fehrenbach; Jacek Narski; Jiale Hua; Samuel Lemercier; Asja Jelic; Cécile Appert-Rolland; Stéphane Donikian; Julien Pettré; Pierre Degond (Networks Heterog. Media, 2015)

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)

An asymptotic-preserving method for a relaxation of the Navier-Stokes-Korteweg equations. - Alina Chertock; Pierre Degond; Jochen Neusser (J. Comput. Phys., 2017)

Asymptotic-Preserving methods and multiscale models for plasma physics. - Pierre Degond; Fabrice Deluzet (J. Comput. Phys., 2017)

Asymptotic-Preserving Particle-In-Cell methods for the Vlasov-Maxwell system in the quasi-neutral limit. - Pierre Degond; Fabrice Deluzet; David Doyen (J. Comput. Phys., 2017)

Damped Arrow-Hurwicz algorithm for sphere packing. - Pierre Degond; Marina A. Ferreira; Sébastien Motsch (J. Comput. Phys., 2017)

Coagulation-Fragmentation Model for Animal Group-Size Statistics. - Pierre Degond; Jian-Guo Liu 006; Robert L. Pego (J. Nonlinear Sci., 2017)

Kinetic Theory of Particle Interactions Mediated by Dynamical Networks. - Julien Barré; Pierre Degond; Ewelina Zatorska (Multiscale Model. Simul., 2017)

Numerical approximation of a coagulation-fragmentation model for animal group size statistics. - Pierre Degond; Maximilian Engel (Networks Heterog. Media, 2017)

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

Quaternions in Collective Dynamics. - Pierre Degond; Amic Frouvelle; Sara Merino Aceituno; Ariane Trescases (Multiscale Model. Simul., 2018)

An Uncertainty Quantification Approach to the Study of Gene Expression Robustness. - Pierre Degond; Shi Jin 003; Yuhua Zhu (CoRR, 2019)

Interkinetic nuclear movements promote apical expansion in pseudostratified epithelia at the expense of apicobasal elongation. - Marina A. Ferreira; Evangeline Despin-Guitard; Fernando Duarte; Pierre Degond; Eric Theveneau (PLoS Comput. Biol., 2019)

A Fokker-Planck approach to the study of robustness in gene expression. - Pierre Degond; Maxime Herda; Sepideh Mirrahimi (CoRR, 2020)

Phase Transitions and Macroscopic Limits in a BGK Model of Body-Attitude Coordination. - Pierre Degond; Antoine Diez; Amic Frouvelle; Sara Merino Aceituno (J. Nonlinear Sci., 2020)

A New Continuum Theory for Incompressible Swelling Materials. - Pierre Degond; Marina A. Ferreira; Sara Merino Aceituno; Mickaël Nahon (Multiscale Model. Simul., 2020)

Modelling pattern formation through differential repulsion. - Julien Barré; Pierre Degond; Diane Peurichard; Ewelina Zatorska (Networks Heterog. Media, 2020)

Incompressible limit of a continuum model of tissue growth for two cell populations. - Pierre Degond; Sophie Hecht; Nicolas Vauchelet (Networks Heterog. Media, 2020)

A new model for the emergence of blood capillary networks. - Pedro Aceves-Sánchez; Benjamin Aymard; Diane Peurichard; Pol Kennel; Anne Lorsignol; Franck Plouraboué; Louis Casteilla; Pierre Degond (Networks Heterog. Media, 2021)

On a hybrid continuum-kinetic model for complex fluids. - Alina Chertock; Pierre Degond; Giacomo Dimarco; Mária Lukácová-Medvid'ová; A. Ruhi (CoRR, 2022)

Bulk Topological States in a New Collective Dynamics Model. - Pierre Degond; Antoine Diez; Mingye Na (SIAM J. Appl. Dyn. Syst., 2022)

Well-Posedness and Stability Analysis of a Landscape Evolution Model. - Julie Binard; Pierre Degond; Pascal Noble (J. Nonlinear Sci., 2024)

Studying Ballistic Aggregation Phenomena through Efficient Time Stepping Approaches. - Pierre Degond; Giacomo Dimarco; Marina A. Ferreira; Sophie Hecht (SIAM J. Appl. Dyn. Syst., 2025)

A Mathematical Framework for Modeling Order Book Dynamics. - Rama Cont; Pierre Degond; Lifan Xuan (SIAM J. Financial Math., 2025)

The Evolution of Pointwise Statistics in Hyperbolic Equations with Random Data. - Alina Chertock; Pierre Degond; Amir Sagiv; Li Wang (CoRR, 2025)