Math @ Duke

Publications [#329523] of JianGuo Liu
Papers Published
 Huang, H; Liu, JG, Discreteintime random particle blob method for the KellerSegel equation and convergence analysis,
Communications in Mathematical Sciences, vol. 15 no. 7
(January, 2017),
pp. 18211842, International Press of Boston [doi]
(last updated on 2019/06/18)
Abstract: © 2017 International Press. We establish an error estimate of a discreteintime random particle blob method for the Keller{Segel (KS) equation in ℝd (d≥2). With a blob size ε=N1/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 L2 norm in probability, where N is the number of the particles.


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