Huang, H; Liu, J-G, *Discrete-in-time random particle blob method for the Keller–Segel equation and convergence analysis*,
Communications in Mathematical Sciences, vol. 15 no. 7
(2017),
pp. 1821-1842 [doi] .
**Abstract:**

*© 2017 International Press. We establish an error estimate of a discrete-in-time random particle blob method for the Keller{Segel (KS) equation in ℝ d (d≥2). With a blob size ε=N -1/d(d+1) log(N), we prove the convergence rate between the solution to the KS equation and the empirical measure of the random particle method under L 2 norm in probability, where N is the number of the particles.*