Stokes Problem for the Generalized Navier-Stokes Equations. - Andrei Bourchtein; Ludmila Bourchtein (International Conference on Computational Science (3), 2002)

Ellipticity of normal mode initialization equations. - Andrei Bourchtein (Appl. Math. Comput., 2002)

Semi-lagrangian Semi-implicit Fully Splitted Hydrostatic Atmospheric Model. - Andrei Bourchtein (International Conference on Computational Science, 2003)

Well Posedness of the Initial Value Problem for Vertically Discretized Hydrostatic Equations. - Andrei Bourchtein; Vladimir Kadychnikov (SIAM J. Numer. Anal., 2003)

Improved Semi-Lagrangian Stabilizing Correction Scheme for Shallow Water Equations. - Andrei Bourchtein; Ludmila Bourchtein (International Conference on Computational Science, 2004)

Semi-Lagrangian Semi-implicit Time Splitting Two Time Level Scheme for Hydrostatic Atmospheric Model. - Andrei Bourchtein (NAA, 2004)

On correctness of the vertical discretization in numerical weather prediction models. - Andrei Bourchtein; Ludmila Bourchtein; Maxim Naumov (Appl. Math. Comput., 2004)

Semi-Lagrangian Implicit-Explicit Two-Time-Level Scheme for Numerical Weather Prediction. - Andrei Bourchtein (International Conference on Computational Science (1), 2005)

Semi-Lagrangian Scale Selective Two-Time-Level Scheme for Hydrostatic Atmospheric Model. - Andrei Bourchtein; Ludmila Bourchtein; Maxim Naumov (International Conference on Computational Science (1), 2006)

Stability of Semi-implicit Atmospheric Models with Respect to the Reference Temperature Profile. - Andrei Bourchtein; Ludmila Bourchtein; Maxim Naumov (Numerical Methods and Applications, 2006)

On generation of orthogonal grids. - Andrei Bourchtein; Ludmila Bourchtein (Appl. Math. Comput., 2006)

Semi-Lagrangian semi-implicit locally one-dimensional scheme for hydrostatic atmospheric model. - Andrei Bourchtein (Math. Comput. Simul., 2006)

Modified time splitting scheme for shallow water equations. - Andrei Bourchtein; Ludmila Bourchtein (Math. Comput. Simul., 2006)

A Splitting Scheme for Large-Scale Atmosphere Dynamics Models. - Andrei Bourchtein; Ludmila Bourchtein (ICCSA (2), 2008)

On iterated Crank-Nicolson methods for hyperbolic and parabolic equations. - Andrei Bourchtein; Ludmila Bourchtein (Comput. Phys. Commun., 2010)

On ellipticity of balance equations for atmospheric dynamics. - Andrei Bourchtein; Ludmila Bourchtein (J. Comput. Appl. Math., 2010)

A semi-implicit time-splitting scheme for a regional nonhydrostatic atmospheric model. - Andrei Bourchtein; Ludmila Bourchtein (Comput. Phys. Commun., 2012)

Explicit finite difference schemes with extended stability for advection equations. - Andrei Bourchtein; Ludmila Bourchtein (J. Comput. Appl. Math., 2012)

Some properties of the vertical structure operators for hydrostatic atmospheric models. - Andrei Bourchtein; Ludmila Bourchtein (J. Comput. Appl. Math., 2012)

A time splitting scheme for the nonhydrostatic atmospheric model. - Andrei Bourchtein; Ludmila Bourchtein (Math. Comput. Model., 2013)

On some analytical properties of a general PageRank algorithm. - Andrei Bourchtein; Ludmila Bourchtein (Math. Comput. Model., 2013)

On Grid Generation for Numerical Models of Geophysical Fluid Dynamics. - Andrei Bourchtein; Ludmila Bourchtein (ICCSA (1), 2014)

On Fractal Complexity of Built and Natural Landscapes. - Andrei Bourchtein; Ludmila Bourchtein; Natalia Naoumova (ICCSA (2), 2014)

On boundary conditions for the gravity wave equations. - Andrei Bourchtein; Ludmila Bourchtein (J. Comput. Appl. Math., 2014)

Semi-Lagrangian Semi-Implicit Vertically Splitting Scheme for Nonhydrostatic Atmospheric Model. - Andrei Bourchtein (ICCSA (2), 2015)

On perturbations of principal eigenvectors of substochastic matrices. - Ludmila Bourchtein; Andrei Bourchtein (J. Comput. Appl. Math., 2016)