Low-rank approximation in the numerical modeling of the Farley-Buneman instability in ionospheric plasma. - Sergey V. Dolgov; Alexander P. Smirnov; E. E. Tyrtyshnikov (J. Comput. Phys., 2014)

A fast numerical method for the Cauchy problem for the Smoluchowski equation. - Sergey A. Matveev; Alexander P. Smirnov; E. E. Tyrtyshnikov (J. Comput. Phys., 2015)

Fast and Accurate Finite-difference Method Solving Multicomponent Smoluchowski Coagulation Equation with Source and Sink Terms. - Alexander P. Smirnov; Sergey A. Matveev; Dmitry A. Zheltkov; Eugene E. Tyrtyshnikov (ICCS, 2016)

Tensor train versus Monte Carlo for the multicomponent Smoluchowski coagulation equation. - Sergey A. Matveev; Dmitry A. Zheltkov; Eugene E. Tyrtyshnikov; Alexander P. Smirnov (J. Comput. Phys., 2016)

Anderson acceleration method of finding steady-state particle size distribution for a wide class of aggregation-fragmentation models. - Sergey A. Matveev; V. I. Stadnichuk; E. E. Tyrtyshnikov; Alexander P. Smirnov; N. V. Ampilogova; Nikolai V. Brilliantov (Comput. Phys. Commun., 2018)

Parallel Numerical Algorithm for Solving Advection Equation for Coagulating Particles. - Sergey A. Matveev; Rishat R. Zagidullin; Alexander P. Smirnov; Eugene E. Tyrtyshnikov (Supercomput. Front. Innov., 2018)

Supercomputer Modelling of Spatially-heterogeneous Coagulation using MPI and CUDA. - Rishat R. Zagidullin; Alexander P. Smirnov; Sergey A. Matveev; Eugene Tyrtyshnikov (RuSCDays, 2019)

Newton method for stationary and quasi-stationary problems for Smoluchowski-type equations. - Ivan V. Timokhin; Sergey A. Matveev; Nana Siddharth; Eugene E. Tyrtyshnikov; Alexander P. Smirnov; Nikolai V. Brilliantov (J. Comput. Phys., 2019)

Model reduction in Smoluchowski-type equations. - Ivan V. Timokhin; Sergey A. Matveev; Eugene E. Tyrtyshnikov; Alexander P. Smirnov (CoRR, 2020)

Aggregation in non-uniform systems with advection and localized source. - Rishat R. Zagidullin; Alexander P. Smirnov; Sergey A. Matveev; Nikolai V. Brilliantov; Pavel L. Krapivsky (CoRR, 2021)

Adaptive time-stepping for aggregation-shattering kinetics. - Sergey A. Matveev; Viktor Zhilin; Alexander P. Smirnov (CoRR, 2024)