A discontinuous Galerkin scheme for the population balance equation achieves exact mass conservation and positivity preservation through common-refinement quadrature and a moment-conserving limiter.
Bleck, A fast, approximative method for integrating t he stochastic coalescence equation, Journal of Geophysical Research , 75 (1970), 5165-5171
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A Conservative and Positivity-Preserving Discontinuous Galerkin Method for the Population Balance Equation
A discontinuous Galerkin scheme for the population balance equation achieves exact mass conservation and positivity preservation through common-refinement quadrature and a moment-conserving limiter.