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Brief Survey on the CP Methods for the Schrödinger Equation

In: Recent Advances in Computational and Applied Mathematics

Author

Listed:
  • L. Gr. Ixaru

    (“Horia Hulubei” National Institute of Physics and Nuclear Engineering, Department of Theoretical Physics
    Academy of Romanian Scientists)

Abstract

The CP methods have some salient advantages over other methods, viz.: (i) the accuracy is uniform with respect to the energy E; (ii) there is an easy control of the error; (iii) the step widths are unusually big and the computation is fast; (iv) the form of the algorithm allows a direct evaluation of collateral quantities such as normalisation constant, Prüfer phase, or the derivative of the solution with respect to E; (v) the algorithm is of a form which allows using parallel computation.

Suggested Citation

  • L. Gr. Ixaru, 2011. "Brief Survey on the CP Methods for the Schrödinger Equation," Springer Books, in: Theodore E. Simos (ed.), Recent Advances in Computational and Applied Mathematics, chapter 0, pages 159-168, Springer.
    • Handle: RePEc:spr:sprchp:978-90-481-9981-5_7
    DOI: 10.1007/978-90-481-9981-5_7
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