Coagulation-fragmentation (CF) processes are important in many areas of science: colloid chemistry, aerosol physics,astrophysics, polymer science, oil recovery dynamics, and mathematical biology. The theory of CF processes orig-inated in 1917 in the work of M. von Smoluchowski. Smoluchowski's model has since been widely extended andgeneralised to include continuous models in terms of nonlinear integro–differential or partial differential equations .Mathematical problems that arise from such models include analyses of equilibria and their stability, criteria for finitetime gelation, connections between finite-dimensional truncated systems and the original infinite-dimensional equa-tions, existence and stability of self-similar solutions, front propagation, and connections with stochastic processes.There are many difficult issues associated with numerical solution of these equations, which have been recently tack-led by many methods, including pivot techniques, quadrature method of moments, and wavelets. The minisymposiumwill give an opportunity to modellers, numerical analysts, applied scientists and mathematicians using CF processesto hear what is the state of the art in this important area, and to exchange expertise.
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