Cell size error in stochastic particle methods for coagulation equations with advection
- Patterson, Robert I. A.
- Wagner, Wolfgang
2010 Mathematics Subject Classification
- 65C35 65M12 65M75
- Stochastic particle methods, spatial discretization error, coagulation equation, advection
The paper studies the approximation error in stochastic particle methods for spatially inhomogeneous population balance equations. The model includes advection, coagulation and inception. Sufficient conditions for second order approximation with respect to the spatial discretization parameter (cell size) are provided. Examples are given, where only first order approximation is observed.
- SIAM J. Numer. Anal., 52 (2014) pp. 424--442.