High Resolution Schemes for Quantum Hydrodynamics Based on Nonlinear Schrödinger Equation

  • J. Y. Yang
  • J. C. Huang
  • T. Y. Hsieh


Shock Tube Quantum Potential Radial Basis Function Interpolation Quantum Hydrodynamic High Resolution Scheme 
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  1. 1.
    P. R. Holland, The Quantum Theory of Motion (Cambridge University Press, New York, 1993)zbMATHGoogle Scholar
  2. 2.
    B. K. Kendrick, J. Chem. Phys. Vol. 119, 5805–5817, 2003CrossRefGoogle Scholar
  3. 3.
    A. L. Islas, D.A. Karpeev and C.M. Schober, J. Comput. Phys., 173, 116–148 (2001)zbMATHMathSciNetCrossRefGoogle Scholar
  4. 4.
    X.G. Hu, T.S. Ho and H. Rabitz, Computers Math. Appli. 43, 525–537 (2002)zbMATHMathSciNetCrossRefGoogle Scholar
  5. 5.
    E.J. Kansa, Computers Math. Appli., 19, 127–145 (1990).zbMATHMathSciNetCrossRefGoogle Scholar
  6. 6.
    R. E. Wyatt and E.R. Bittner, Computing in Sci & Engi., p.22, May (2003).Google Scholar
  7. 7.
    C.J. Trahan and R.E. Wyatt, J. Comput. Phys., 185, pp. 27–49 (2003).zbMATHCrossRefGoogle Scholar
  8. 8.
    W. Bao, S. Jin and P.A. Markowich, SIAM J. Sci. Comput., (2003).Google Scholar
  9. 9.
    J.Y. Yang and C.A. Hsu, High resolution nonsocillatory schemes for unsteady compressible flows, AIAA J. Vol.30, pp.1570–1575 (1992)zbMATHGoogle Scholar
  10. 10.
    G.S. Jiang and C.W. Shu, J. Comput. Phys., 126, 202–228, (1996)zbMATHMathSciNetCrossRefGoogle Scholar
  11. 11.
    J.Y. Yang, Y.C. Perng and R.H. Yen, AIAA J., Vol.39, 2082–2090 (2001)CrossRefGoogle Scholar
  12. 12.
    J._C. Bronski, L. D. Carr, B. Deconinck, and J. N. Kutz, Physical Review Letters, Vol.86, No.8 Feb. (2001)Google Scholar
  13. 13.
    L. D. Carr, C. W. Clark, and W. P. Reinhardt, Physical Review A, Vol.62, 063610 (2000)CrossRefGoogle Scholar
  14. 14.
    P.H. Roberts and R.J. Donnelly, Annu. Rev. Fluid Mech., Vol. 6 (1974)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • J. Y. Yang
    • 1
  • J. C. Huang
    • 2
  • T. Y. Hsieh
    • 1
  1. 1.Institute of Applied MechanicsNational Taiwan UniversityTaipeiTaiwan
  2. 2.Chung Shan Institute of Science and TechnologyLung-TanTaiwan

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