3 papers
math.NA2020
Exponential time integrators for unsteady advection-diffusion problems on refined meshes
M. A. Botchev
Time integration of advection dominated advection-diffusion problems on refined meshes can be a challenging task, since local refinement can lead to a severe time step restriction,…
physics.comp-ph2019
Predicting dynamical system evolution with residual neural networks
Artem Chashchin, Mikhail Botchev, Ivan Oseledets +1
Forecasting time series and time-dependent data is a common problem in many applications. One typical example is solving ordinary differential equation (ODE) systems …
physics.flu-dyn2018
Comparison of computational codes for direct numerical simulations of turbulent Rayleigh-Bénard convection
Gijs L. Kooij, Mikhail A. Botchev, Edo M. A. Frederix +7
Computational codes for direct numerical simulations of Rayleigh-Bénard (RB) convection are compared in terms of computational cost and quality of the solution. As a benchmark case…