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Numerical Methods for Initial-Boundary-Value Problems for First Order Quasilinear Hyperbolic Systems in Two Independent Variables

In: Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies

Author

Listed:
  • Zhu You-lan

    (Chinese Academy of Sciences, Computing Center)

  • Chen Bing-mu

    (Chinese Academy of Sciences, Computing Center)

  • Zhong Xi-chang

    (Chinese Academy of Sciences, Computing Center)

  • Zhang Zuo-min

    (Chinese Academy of Sciences, Computing Center)

Abstract

When discussing numerical methods for hyperbolic systems, it is usual to construct difference schemes and do theoretical analysis only for pure initial-value problems. However, most of the problems which exist in practice are initial-boundary-value problems. When applying the results from the pure initial-value problems (PIVP) to the initial-boundary-value problems (IBVP), difficulties are encountered since we usually do not know how to calculate the bounday points and how to ascertain whether an algorithm for boundary points is reasonable.

Suggested Citation

  • Zhu You-lan & Chen Bing-mu & Zhong Xi-chang & Zhang Zuo-min, 1988. "Numerical Methods for Initial-Boundary-Value Problems for First Order Quasilinear Hyperbolic Systems in Two Independent Variables," Springer Books, in: Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies, chapter 0, pages 2-170, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-06707-9_1
    DOI: 10.1007/978-3-662-06707-9_1
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