LILIX

LILIX – a package for the solution of the coupled channel Schrödinger equation. The code LILIX is based on a CP method for solving systems of coupled Schrödinger equations. The method is of the sixth order, highly stable and with uniform accuracy with respect to the energy. The package contains three main subroutines to be accessed directly by the user. Subroutine LI generates the partition consistent with the desired accuracy while subroutine LIX helps propagating the solution and its derivative with respect to the momentum k in both directions (forwards and backwards) along the mesh points of the partition. Subroutine RENORM helps conserving the linear independence of various vectors in the solution matrix whenever this may be of concern. (Source: http://cpc.cs.qub.ac.uk/summaries/)


References in zbMATH (referenced in 11 articles , 1 standard article )

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  1. Mashayekhi, S.; Ixaru, L. Gr.: The least-squares fit of highly oscillatory functions using eta-based functions (2020)
  2. Ixaru, L. Gr.: Numerical approach of some three-body problems (2016)
  3. Ledoux, V.; Van Daele, M.: The accurate numerical solution of the Schrödinger equation with an explicitly time-dependent Hamiltonian (2014)
  4. Paternoster, Beatrice: Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday (2012)
  5. Ledoux, Veerle; Van Daele, Marnix: On CP, LP and other piecewise perturbation methods for the numerical solution of the Schrödinger equation (2011)
  6. Ixaru, L. Gr.: New numerical method for the eigenvalue problem of the 2D Schrödinger equation (2010)
  7. Ledoux, V.; Rizea, M.; van Daele, M.; vanden Berghe, G.; Silişteanu, I.: Eigenvalue problem for a coupled channel Schrödinger equation with application to the description of deformed nuclear systems (2009)
  8. Ledoux, V.; Van Daele, M.; Vanden Berghe, G.: (CPM\P,N) methods extended for the solution of coupled channel Schrödinger equations (2006)
  9. Ledoux, Veerle; Van Daele, Marnix; Vanden Berghe, Guido: MATSLISE: a MATLAB package for the numerical solution of Sturm-Liouville and Schrödinger equations. (2005)
  10. Ledoux, V.; Van Daele, M.; Vanden Berghe, Guido: CP methods of higher order for Sturm-Liouville and Schrödinger equations (2004)
  11. Ixaru, L. Gr.: LILIX -- a package for the solution of the coupled channel Schrödinger equation (2002)