**Papers Published**

- Huang, H; Liu, JG,
*Discrete-in-time random particle blob method for the Keller-Segel equation and convergence analysis*, Communications in Mathematical Sciences, vol. 15 no. 7 (January, 2017), pp. 1821-1842

(last updated on 2017/12/15)**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.