Error estimate of a random particle blob method for the Keller-Segel equation
Publication
, Journal Article
Huang, H; Liu, JG
Published in: Mathematics of Computation
January 1, 2017
We establish an optimal error estimate for a random particle blob method for the Keller-Segel 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/1-κ) norm up to a probability 1-hC| ln h|, where h is the initial grid size.
Duke Scholars
Published In
Mathematics of Computation
DOI
ISSN
0025-5718
Publication Date
January 1, 2017
Volume
86
Issue
308
Start / End Page
2719 / 2744
Related Subject Headings
- Numerical & Computational Mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0802 Computation Theory and Mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Huang, H., & Liu, J. G. (2017). Error estimate of a random particle blob method for the Keller-Segel equation. Mathematics of Computation, 86(308), 2719–2744. https://doi.org/10.1090/mcom/3174
Huang, H., and J. G. Liu. “Error estimate of a random particle blob method for the Keller-Segel equation.” Mathematics of Computation 86, no. 308 (January 1, 2017): 2719–44. https://doi.org/10.1090/mcom/3174.
Huang H, Liu JG. Error estimate of a random particle blob method for the Keller-Segel equation. Mathematics of Computation. 2017 Jan 1;86(308):2719–44.
Huang, H., and J. G. Liu. “Error estimate of a random particle blob method for the Keller-Segel equation.” Mathematics of Computation, vol. 86, no. 308, Jan. 2017, pp. 2719–44. Scopus, doi:10.1090/mcom/3174.
Huang H, Liu JG. Error estimate of a random particle blob method for the Keller-Segel equation. Mathematics of Computation. 2017 Jan 1;86(308):2719–2744.
Published In
Mathematics of Computation
DOI
ISSN
0025-5718
Publication Date
January 1, 2017
Volume
86
Issue
308
Start / End Page
2719 / 2744
Related Subject Headings
- Numerical & Computational Mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0802 Computation Theory and Mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics