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We present the convergence analysis of the cell average technique, introduced in , 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. (2010) : 45J05, 45K05, 45L05, 65R20 Mathematics subject classificationdoi:10.1051/m2an/2014035 fatcat:c3jek6reand37pqe5k7g7fkjfm