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Some properties of difference schemes in one-dimensional gas dynamics

  • I. Numerical Methods of Mathematical Physics
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Abstract

The linear implicit difference scheme is analyzed on specimen problems using numerical computations. Stability of some difference schemes is investigated, whose solvability is improved by introducing explicitness. A stability theorem is proved for the difference scheme of one-dimensional gas dynamics in the acoustic approximation near an arbitrary smooth solution.

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Authors
  1. N. V. Ardelyan
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  2. V. I. Puzynin
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  3. M. A. Zubakova
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Additional information

Translated from Vychislitel'naya Matematika i Matematicheskoe Obespechenie EVM, pp. 20–28, 1985.

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Ardelyan, N.V., Puzynin, V.I. & Zubakova, M.A. Some properties of difference schemes in one-dimensional gas dynamics. Comput Math Model 1, 12–17 (1990). https://doi.org/10.1007/BF01128304

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  • DOI: https://doi.org/10.1007/BF01128304

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