An algorithm for the numerical solution of the multivariate master equation for stochastic coalescence

Alfonso, L.

doi:https://doi.org/10.5194/acp-15-12315-2015

Articles | Volume 15, issue 21

https://doi.org/10.5194/acp-15-12315-2015

© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.

https://doi.org/10.5194/acp-15-12315-2015

© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.

Articles | Volume 15, issue 21

Research article

|

06 Nov 2015

Research article |

| 06 Nov 2015

An algorithm for the numerical solution of the multivariate master equation for stochastic coalescence

L. Alfonso

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Final revised paper (published on 06 Nov 2015)
Preprint (discussion started on 23 Apr 2015)

Interactive discussion

Status: closed

AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment

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RC C2198: 'Review of acp-2015-144', Anonymous Referee #1, 02 May 2015
RC C3165: 'review of acp-2015-144', Anonymous Referee #2, 02 Jun 2015
AC C4775: 'Response to Reviewers', Lester Alfonso, 11 Jul 2015

Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision

AR by Lester Alfonso on behalf of the Authors (04 Aug 2015) Author's response

ED: Referee Nomination & Report Request started (17 Aug 2015) by Graham Feingold

RR by Anonymous Referee #2 (11 Sep 2015)

ED: Publish as is (20 Sep 2015) by Graham Feingold

AR by Lester Alfonso on behalf of the Authors (28 Sep 2015)

Short summary

The mathematical description of finite volume coalescing systems relies on the multivariate master equation. However, due to its complexity, it has analytical solutions only for a limited number of kernels and initial conditions. In this paper, in an effort to solve this problem, we have introduced a novel numerical approach to calculate the solution of the multivariate coalescence master equation that works for any type of kernel and initial conditions.