Convergence of the cell average technique for Smoluchowski coagulation equation
arXiv:1208.04116 citationsh-index: 13
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Rigorous error bounds for a numerical method used in aerosol physics and population balance modeling.
The paper provides convergence analysis of the cell average technique for the Smoluchowski coagulation equation, proving second-order accuracy on uniform grids and first-order on non-uniform smooth grids.
We present the convergence analysis of the cell average technique, introduced in [12], 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.