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A new type of upwind schemes

  • Lei Tang
  • James D. Baeder
Algorithms Numerical Techniques
Part of the Lecture Notes in Physics book series (LNP, volume 490)

Keywords

Stability Limit Polynomial Interpolation Entropy Condition Upwind Scheme Riemann Solver 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    R. Courant, E. Isaacson and M. Rees: Comm. Pure Appl. Math. 5 243 (1952).zbMATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    P. D. Lax and B. Wendroff: Comm. Pure Appl. Math. 17 381 (1964).zbMATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    S. K. Godunov: Math. Sbornik 47 271 (1959).MathSciNetGoogle Scholar
  4. 4.
    L. Tang and J. D. Baeder: Accurate Shape-Preserving C0 Interpolation (in preparation).Google Scholar
  5. 5.
    P. L. Roe and D. Sidilkover: SIAM J. Numer. Anal. 29 1542 (1992).zbMATHCrossRefMathSciNetGoogle Scholar
  6. 6.
    B. van Leer: Computing Methods in Applied Science and Engineering (VI), 1984.Google Scholar
  7. 7.
    P. Colella: J. Comput. Phys. 87 171 (1990).zbMATHCrossRefADSMathSciNetGoogle Scholar
  8. 8.
    R. J. LeVeque: CLAWPACK, 1995.Google Scholar
  9. 9.
    J. L. Steger and R. F. Warming: J. Comput. Phys. 40 263 (1981).zbMATHCrossRefADSMathSciNetGoogle Scholar
  10. 10.
    B. van Leer: 8th International Conference on Numerical Methods in Fluid Dynamics (1982).Google Scholar
  11. 11.
    M. S. Liou and C. J. Steffen, Jr.: J. Comput. Phys. 107 23 (1993).zbMATHCrossRefADSMathSciNetGoogle Scholar
  12. 12.
    S. Osher and F. Solomon: Math. Comp. 38 339 (1982).zbMATHCrossRefMathSciNetGoogle Scholar
  13. 13.
    P.L. Roe: J. Comput. Phys. 43 357 (1981).zbMATHCrossRefADSMathSciNetGoogle Scholar
  14. 14.
    B. Einfeldt: SIAM J. Numer. Anal. 25 294 (1988).zbMATHCrossRefMathSciNetADSGoogle Scholar
  15. 15.
    D. K. Mao: SIAM J. Numer. Anal. 32 1677 (1995).zbMATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • Lei Tang
    • 1
  • James D. Baeder
    • 1
  1. 1.Dept. of Aerospace Engin.Univ. of MarylandCollege ParkUSA

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