Uniform-in-time error estimate of the random batch method for the Cucker–Smale model
DOI10.1142/S0218202521400029zbMath1492.92003OpenAlexW3167725710MaRDI QIDQ5164230
Doheon Kim, Dongnam Ko, Seung-Yeal Ha, Shih Jin
Publication date: 10 November 2021
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218202521400029
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Ordinary differential equations and systems with randomness (34F05) Computational methods for problems pertaining to biology (92-08) Dynamical systems in numerical analysis (37N30) Approximation methods and numerical treatment of dynamical systems (37M99) Animal behavior (92D50) Stochastic particle methods (65C35) Numerical problems in dynamical systems (65P99)
Related Items (6)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On collision-avoiding initial configurations to Cucker-Smale type flocking models
- Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model
- Synchronization in complex networks of phase oscillators: a survey
- Collective synchronization of classical and quantum oscillators
- A new model for self-organized dynamics and its flocking behavior
- Initiation of slime mold aggregation viewed as an instability
- From particle to kinetic and hydrodynamic descriptions of flocking
- From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
- Complete cluster predictability of the Cucker-Smale flocking model on the real line
- Emergence of stochastic flocking for the discrete Cucker-Smale model with randomly switching topologies
- Random batch methods (RBM) for interacting particle systems
- Interplay of time-delay and velocity alignment in the Cucker-Smale model on a general digraph
- A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
- Emergence of bi-cluster flocking for the Cucker–Smale model
- ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS
- Convergence of a first-order consensus-based global optimization algorithm
- Flocking of the Cucker-Smale Model on General Digraphs
- Swarming Patterns in a Two-Dimensional Kinematic Model for Biological Groups
- Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
- Emergent Behavior of a Cucker-Smale Type Particle Model With Nonlinear Velocity Couplings
- A consensus-based global optimization method for high dimensional machine learning problems
- Uniform error estimates for the random batch method to the first‐order consensus models with antisymmetric interaction kernels
- The Random Batch Method for N-Body Quantum Dynamics
- On the Stochastic Flocking of the Cucker--Smale Flock with Randomly Switching Topologies
- Model predictive control with random batch methods for a guiding problem
- Emergent Behavior in Flocks
- Binary Interaction Algorithms for the Simulation of Flocking and Swarming Dynamics
- A quest toward a mathematical theory of the dynamics of swarms
- Convergence of the Random Batch Method for Interacting Particles with Disparate Species and Weights
This page was built for publication: Uniform-in-time error estimate of the random batch method for the Cucker–Smale model