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Section B

Coefficients perturbation methods for higher-order differential equations

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Pages 1453-1472 | Received 16 Jan 2007, Accepted 12 Dec 2007, Published online: 17 Jun 2009

References

  • Birkhoff , G. and Rota , G. 1989 . Ordinary Differential Equations , New York : J. Wiley .
  • Davis , J. P. 1975 . Interpolation and Approximation , New York : Dover Publications .
  • El-Daou , M. K. 2002 . Computable error bounds for coefficients perturbation methods . Computing , 69 : 305 – 317 .
  • Canuto , C. , Quarteroni , A. and Zang , T. A. 2006 . Spectral Methods: Fundamentals in Single Domains , Berlin, Heidelberg, New York : Springer .
  • Gander , W. and Hrebicek , J. 2004 . Solving Problems in Scientific Computing Using Maple and Matlab , Berlin, New York : Springer .
  • Ixaru , L. 1984 . Numerical Methods for Differential Equations and Applications , Dordrecht : D. Reidel Publishing Co .
  • Ixaru , L. 2000 . Coefficients perturbation methods for Schrödinger equation . J. Comput. Appl. Math. , 125 : 347 – 357 .
  • Ledoux , V. , Van Daele , M. and Vanden Berghe , G. 2004 . CP methods of higher order for Sturm-Liouville and Schrödinger equations . Comput. Phys. Commun , 162 : 151 – 165 .
  • Ledoux , V. 2006 . Solution of the Schrödinger equation by a high order perturbation method based on a linear reference potential . Comput. Phys. Commun , 175 : 424 – 439 .
  • Ortiz , E. L. 1969 . The Tau Method . SIAM J. Numer. Anal. , 6 : 480 – 492 .
  • Ortiz , E. L. 1974 . “ Canonical polynomials in the Lanczos Tau Method, in Studies in Numerical Analysis ” . Edited by: Scaife , B. K.P. 73 – 93 . New York : Academic Press .
  • Wolfram , S. 2000 . Mathematica: A System for Doing Mathematics by Computer , Redwood City, California : Addison Wesley .

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