36646
2011
2011
eng
513
528
16
3
51
article
Springer
Dordrecht
1
--
--
--
Broyden method for inverse non-symmetric Sturm-Liouville problems
In this paper, we propose a derivative-free method for recovering symmetric and non-symmetric potential functions of inverse Sturm-Liouville problems from the knowledge of eigenvalues. A class of boundary value methods obtained as an extension of Numerov's method is the major tool for approximating the eigenvalues in each Broyden iteration step. Numerical examples demonstrate that the method is able to reduce the number of iteration steps, in particular for non-symmetric potentials, without accuracy loss.
BIT : numerical mathematics ; the leading applied mathematics journal for all computational mathematicians
10.1007/s10543-011-0317-5
0006-3835 (print)
wos:2011-2013
WOS:000294463100004
Bockmann, C (reprint author), Univ Potsdam, Inst Math, Neuen Palais 10, D-14469 Potsdam, Germany., bockmann@rz.uni-potsdam.de; athassawat.k@psu.ac.th
Prince of Songkla University
Christine Boeckmann
Athassawat Kammanee
eng
uncontrolled
Inverse Sturm-Liouville problem
eng
uncontrolled
Non-symmetric potential
eng
uncontrolled
Broyden's method
eng
uncontrolled
Boundary value method
Institut für Mathematik
Referiert