Population balance models are tools for the study of dispersed systems, such as granular
materials, polymers, colloids and aerosols. They are applied with increasing frequency …

The paper proposes a new adaptive approach to power system model reduction for fast and
accurate time-domain simulation. This new approach is a compromise between linear model …

We observe never-ending oscillations in systems undergoing collision-controlled
aggregation and shattering. Specifically, we investigate aggregation-shattering processes …

A new solution technique is proposed for one-dimensional Smoluchowski equations. It is
based on the finite-difference predictor–corrector scheme and is faster than other methods …

Temperature-dependent Smoluchowski equations describe the ballistic agglomeration. In
contrast to the standard Smoluchowski equations for the evolution of cluster densities, with …

In this paper we present a novel numerical algorithm for the space-homogeneous
multicomponent (multidimensional) Smoluchowski coagulation equation, the number of …

We propose a new cross-conv algorithm for approximate computation of convolution in
different low-rank tensor formats (tensor train, Tucker, hierarchical Tucker). It has better …

A potential mathematical framework for machine learning is multi-linear algebra of the
higher-order tensor that can reveal the relationships among multiple factors underlying the …

A fast numerical method of finding steady-state distributions of particles sizes for a wide
class of aggregation–fragmentation models, including the models with a source of …

We revisit two basic Direct Simulation Monte Carlo Methods to model aggregation kinetics
and extend them for aggregation processes with collisional fragmentation (shattering). We …