Alan L Andrew 2006 Inverse Problems 22 2069 doi:10.1088/0266-5611/22/6/010
Alan L Andrew
Show affiliationsThis paper introduces and examines some new finite difference methods for computing the (generally nonsymmetric) potential of a Sturm–Liouville operator from its first m Dirichlet eigenvalues and its first m or m + 1 Dirichlet–Neumann eigenvalues. The methods use an asymptotic correction technique of Paine, de Hoog and Anderssen, and its extension to Numerov's method by Andrew and Paine. Numerical results suggest that Numerov's method has even greater advantages over related second-order methods for this problem than those recently reported for problems with symmetric potential.
02.30.Hq Ordinary differential equations
02.60.Lj Ordinary and partial differential equations; boundary value problems
Issue 6 (December 2006)
Received 18 July 2006, in final form 22 September 2006
Published 13 October 2006
Alan L Andrew 2006 Inverse Problems 22 2069
Seçkin Kürkçüoglu and Olaf Lechtenfeld JHEP09(2007)020
B Brendebach et al 2009 J. Phys.: Conf. Ser. 190 012186
V Petkov and G Yunchov 1994 J. Phys.: Condens. Matter 6 10885
J S Hoye and M Napiorkowski 1980 J. Phys. A: Math. Gen. 13 1897
H Hayashi et al 2009 J. Phys.: Conf. Ser. 190 012050
S Muto et al 1980 J. Phys. A: Math. Gen. 13 1799
J Spitaler et al 2009 New J. Phys. 11 113009
G Yeandle et al 2000 J. Phys. G: Nucl. Part. Phys. 26 839
H R Karadayi and M Gungormez 1999 J. Phys. A: Math. Gen. 32 1701