D Osipov, K Sun - IEEE Transactions on Power Systems, 2018 - ieeexplore.ieee.org
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 …