Monte Carlo gPC methods for diffusive kinetic flocking models with uncertainties
DOI10.1007/s10013-019-00374-2zbMath1434.35230arXiv1902.04518OpenAlexW2986744497WikidataQ126835234 ScholiaQ126835234MaRDI QIDQ2296254
Mattia Zanella, José Antonio Carrillo
Publication date: 17 February 2020
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.04518
Monte Carlo methods (65C05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Animal behavior (92D50) Vlasov equations (35Q83)
Related Items (12)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Phase transition and diffusion among socially interacting self-propelled agents
- A kinetic flocking model with diffusion
- Mean field limits for interacting diffusions in a two-scale potential
- From particle to kinetic and hydrodynamic descriptions of flocking
- Dynamical aspects of mean field plane rotators and the Kuramoto model
- The McKean-Vlasov equation in finite volume
- Boltzmann-type models with uncertain binary interactions
- Uncertainty quantification for kinetic models in socio-economic and life sciences
- Uncertainty quantification for kinetic equations
- Uncertainty quantification in control problems for flocking models
- Galerkin methods for stationary radiative transfer equations with uncertain coefficients
- Local sensitivity analysis for the Cucker-Smale model with random inputs
- Structure preserving schemes for mean-field equations of collective behavior
- Structure preserving schemes for nonlinear Fokker-Planck equations and applications
- Structure preserving stochastic Galerkin methods for Fokker-Planck equations with background interactions
- Fully discrete positivity-preserving and energy-dissipating schemes for aggregation-diffusion equations with a gradient-flow structure
- Hydrodynamic limits for kinetic flocking models of Cucker-Smale type
- Long-time behaviour and phase transitions for the McKean-Vlasov equation on the torus
- Structure preserving schemes for the continuum Kuramoto model: phase transitions
- Consensus convergence with stochastic effects
- Macroscopic limits and phase transition in a system of self-propelled particles
- On an aggregation model with long and short range interactions
- STOCHASTIC MEAN-FIELD LIMIT: NON-LIPSCHITZ FORCES AND SWARMING
- Heterophilious Dynamics Enhances Consensus
- A Stochastic Galerkin Method for Hamilton--Jacobi Equations with Uncertainty
- Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model
- Particle, kinetic, and hydrodynamic models of swarming
- CONTINUUM LIMIT OF SELF-DRIVEN PARTICLES WITH ORIENTATION INTERACTION
- High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
- The Vlasov--Poisson--Fokker--Planck System with Uncertainty and a One-dimensional Asymptotic Preserving Method
- Numerical methods for kinetic equations
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- Local Sensitivity Analysis for the Kuramoto--Daido Model with Random Inputs in a Large Coupling Regime
- Particle Based gPC Methods for Mean-Field Models of Swarming with Uncertainty
- Kinetic-Controlled Hydrodynamics for Traffic Models with Driver-Assist Vehicles
- Reduced fluid models for self-propelled particles interacting through alignment
- Emergent Behavior in Flocks
- Phase Transitions in a Kinetic Flocking Model of Cucker--Smale Type
- Binary Interaction Algorithms for the Simulation of Flocking and Swarming Dynamics
- A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure
This page was built for publication: Monte Carlo gPC methods for diffusive kinetic flocking models with uncertainties