Convergence of the cell average technique for Smoluchowski coagulation equation

Ankik Kumar Giri

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Convergence of the cell average technique for Smoluchowski coagulation equation

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arxiv 1208.0411 v1 pith:LPBB3546 submitted 2012-08-02 math.NA cs.NA

Convergence of the cell average technique for Smoluchowski coagulation equation

Ankik Kumar Giri This is my paper

classification math.NA cs.NA

keywords techniqueaccurateaveragecellcoagulationconvergenceequationgrids

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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.

Convergence of the cell average technique for Smoluchowski coagulation equation

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