79 citations · 263 across the 55 of their papers we have counts for
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math.NA2012
Unconditionally stable schemes for non-stationary convection-diffusion equations
N. Afanasyeva, P. Vabishchevich, M. Vasil'eva
Convection-diffusion problem are the base for continuum mechanics. The main features of these problems are associated with an indefinite operator the problem. In this work we const…
math.NA2012★ 79 cited
Numerical Methods for Solving Convection-Diffusion Problems
A. Churbanov, P. Vabishchevich
Convection-diffusion equations provide the basis for describing heat and mass transfer phenomena as well as processes of continuum mechanics. To handle flows in porous media, the f…
math.NA2012★ 7 cited
Flux-splitting schemes for parabolic problems
Petr N. Vabishchevich
To solve numerically boundary value problems for parabolic equations with mixed derivatives, the construction of difference schemes with prescribed quality faces essential difficul…