Math @ Duke

Publications [#329523] of JianGuo Liu
Papers Published
 Huang, H; Liu, JG, Discreteintime random particle blob method for the Keller–Segel equation and convergence analysis,
Communications in Mathematical Sciences, vol. 15 no. 7
(2017),
pp. 18211842 [doi]
(last updated on 2018/05/25)
Abstract: © 2017 International Press. We establish an error estimate of a discreteintime 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.


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