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High-Order Non-uniform Grid Scheme for Numerical Analysis of Singularly Perturbed Fokker-Planck Equation
Lecture Notes in Networks and Systems. 2023. Vol. 934. P. 235–244.
Rukavishnikov A., Васильев С. А., Мукасеев Е. В., Boutta M. A.
Alexandrov A., Chaos, Solitons and Fractals 2023 Vol. 167 P. 113056
Added: December 28, 2023
Marcati C., Rakhuba M., Ulander J. ., Calcolo 2022 Article 2
We derive rank bounds on the quantized tensor train (QTT) compressed approximation of singularly perturbed reaction diffusion boundary value problems in one dimension. Specifically, we show that, independently of the scale of the singular perturbation parameter, a numerical solution with accuracy 0 < 𝜀 < 1 can be represented in the QTT format with a number of parameters that ...
Added: October 31, 2021
Vulfson A., Borodin O., Physics of Fluids 2018 Vol. 30 No. 9 Article 095103
The stochastic ensemble of convective thermals (vortices), forming the fine structure of a turbulent
convective atmospheric layer, is considered. The proposed ensemble model assumes all thermals in
the mixed-layer to have the same determinate buoyancies and considers them as solid spheres of
variable volumes. The values of radii and vertical velocities of the thermals are assumed random. The
motion ...
Added: October 30, 2018
Vulfson A. N., Borodin O. O., Physics-Uspekhi 2016 Vol. 59 No. 2 P. 109–120
The system of thermals that makes the fine structure of a turbulent convective layer of a fluid is considered. A simplified probabilistic-geometrical approach is outlined that uses measurements along the observation line to determine the average in-plane parameters of the system. A dynamic equation for an isolated thermal interacting with its environment is derived. A ...
Added: September 8, 2016
Vulfson A. N., Borodin O. O., , in: Procedia IUTAMVol. 8: IUTAM Symposium on Waves in Fluids: Effects of Nonlinearity, Rotation, Stratification and Dissipation.: Amsterdam: Elsevier, 2013. P. 238–247.
In this paper, we develop a stochastic model of an ensemble of convective eddies that produces an equilibrium velocity distribution of thermals. In the model, mixed-layer thermals are assumed to possess identical buoyancy and are considered as rigid balls of constant radii. The motion of an ensemble of convective eddies is described using a Langevin ...
Added: April 8, 2014
Vulfson A. N., Borodin O. O., Procedia IUTAM 2013 Vol. 8 P. 238–247
In this paper, we develop a stochastic model of an ensemble of convective eddies that produces an equilibrium velocity distri- bution of thermals. In the model, mixed-layer thermals are assumed to possess identical buoyancy and are considered as rigid balls of constant radii. The motion of an ensemble of convective eddies is described using a ...
Added: March 31, 2014
Amsterdam: Elsevier, 2013.
The collection is devoted to articles on turbulence hydrodynamics, waves in liquid, to effects of rotation and dissipation. ...
Added: March 25, 2014
Berlin, Heidelberg: Springer, 2011.
This volume contains the extended version of selected talks given at the international research workshop "Coping with Complexity: Model Reduction and Data Analysis", Ambleside, UK, August 31 – September 4, 2009. The book is deliberately broad in scope and aims at promoting new ideas and methodological perspectives. The topics of the chapters range from theoretical ...
Added: May 29, 2013