Discrete-in-time random particle blob method for the Keller-Segel equation and convergence analysis
Publication
, Journal Article
Huang, H; Liu, JG
Published in: Communications in Mathematical Sciences
January 1, 2017
We establish an error estimate of a discrete-in-time random particle blob method for the Keller{Segel (KS) equation in ℝd (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 L2 norm in probability, where N is the number of the particles.
Duke Scholars
Published In
Communications in Mathematical Sciences
DOI
EISSN
1945-0796
ISSN
1539-6746
Publication Date
January 1, 2017
Volume
15
Issue
7
Start / End Page
1821 / 1842
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Huang, H., & Liu, J. G. (2017). Discrete-in-time random particle blob method for the Keller-Segel equation and convergence analysis. Communications in Mathematical Sciences, 15(7), 1821–1842. https://doi.org/10.4310/CMS.2017.v15.n7.a2
Huang, H., and J. G. Liu. “Discrete-in-time random particle blob method for the Keller-Segel equation and convergence analysis.” Communications in Mathematical Sciences 15, no. 7 (January 1, 2017): 1821–42. https://doi.org/10.4310/CMS.2017.v15.n7.a2.
Huang H, Liu JG. Discrete-in-time random particle blob method for the Keller-Segel equation and convergence analysis. Communications in Mathematical Sciences. 2017 Jan 1;15(7):1821–42.
Huang, H., and J. G. Liu. “Discrete-in-time random particle blob method for the Keller-Segel equation and convergence analysis.” Communications in Mathematical Sciences, vol. 15, no. 7, Jan. 2017, pp. 1821–42. Scopus, doi:10.4310/CMS.2017.v15.n7.a2.
Huang H, Liu JG. Discrete-in-time random particle blob method for the Keller-Segel equation and convergence analysis. Communications in Mathematical Sciences. 2017 Jan 1;15(7):1821–1842.
Published In
Communications in Mathematical Sciences
DOI
EISSN
1945-0796
ISSN
1539-6746
Publication Date
January 1, 2017
Volume
15
Issue
7
Start / End Page
1821 / 1842
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0102 Applied Mathematics
- 0101 Pure Mathematics