GIRI, ANKIK KUMAR and Nagar, Atulya K. (2015) CONVERGENCE OF THE CELL AVERAGE TECHNIQUE FOR SMOLUCHOWSKI COAGULATION EQUATION. ESAIM: Mathematical Modelling and Numerical Analysis, 49 (2). pp. 349-372. ISSN 0764-583X
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Official URL: http://www.esaim-m2an.org/articles/m2an/abs/2015/0...
Abstract
We present the convergence analysis of the cell average technique, introduced in [19], to solve the nonlinear continuous Smoluchowski coagulation equation. It is shown that the technique is second order accurate on uniform grids and first order accurate on non-uniform smooth (geometric) grids. As an essential ingredient, the consistency of the technique is thoroughly discussed.
| Item Type: | Article |
|---|---|
| Additional Information and Comments: | Copyright EDP Sciences and S.M.A.I. The original publication is available at www.esaimm2an.org. |
| Keywords: | Particles, coagulation, cell average technique, consistency, Lipschitz condition, convergence. |
| Faculty / Department: | Faculty of Human and Digital Sciences > Mathematics and Computer Science |
| Depositing User: | Atulya Nagar |
| Date Deposited: | 11 May 2016 10:05 |
| Last Modified: | 17 Aug 2017 11:14 |
| URI: | https://hira.hope.ac.uk/id/eprint/1075 |
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