Brief Survey on the CP Methods for the Schrödinger Equation

L. Gr. Ixaru ()
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L. Gr. Ixaru: “Horia Hulubei” National Institute of Physics and Nuclear Engineering, Department of Theoretical Physics

Chapter Chapter 7 in Recent Advances in Computational and Applied Mathematics, 2011, pp 159-168 from Springer

Abstract: 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.

Keywords: Schrödinger equation; CP methods; η m set of functions; 81Q05 (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-90-481-9981-5_7

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