Math @ Duke

Publications [#327636] of JianGuo Liu
Papers Published
 Huang, H; Liu, JG, Error estimate of a random particle blob method for the KellerSegel equation,
Mathematics of Computation, vol. 86 no. 308
(January, 2017),
pp. 27192744, American Mathematical Society (AMS) [doi]
(last updated on 2019/06/18)
Abstract: © 2017 American Mathematical Society. We establish an optimal error estimate for a random particle blob method for the KellerSegel equation in ℝd (d ≥ 2). With a blob size ε = hκ (1/2 < κ < 1), we prove a rate h ln h of convergence in ℓhp (p > d/1κ) norm up to a probability 1hC ln h, where h is the initial grid size.


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