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- W2949703515 abstract "Various classes of stable finite difference schemes can be constructed to obtain a numerical solution. It is important to select among all stable schemes such a scheme that is optimal in terms of certain additional criteria. In this study, we use a simple boundary value problem for a one-dimensional parabolic equation to discuss the selection of an approximation with respect to time. We consider the pure diffusion equation, the pure convective transport equation and combined convection-diffusion phenomena. Requirements for the unconditionally stable finite difference schemes are formulated that are related to retaining the main features of the differential problem. The concept of SM stable finite difference scheme is introduced. The starting point are difference schemes constructed on the basis of the various Pad$acute{e}$ approximations." @default.
- W2949703515 created "2019-06-27" @default.
- W2949703515 creator A5007123434 @default.
- W2949703515 date "2010-05-31" @default.
- W2949703515 modified "2023-09-27" @default.
- W2949703515 title "SM stability for time-dependent problems" @default.
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