Programs in Physics & Physical Chemistry
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|Manuscript Title: SLCPM12, a program for solving regular Sturm-Liouville problems.|
|Authors: L.Gr. Ixaru, H. De Meyer, G. Vanden Berghe|
|Program title: SLCPM12|
|Catalogue identifier: ADJV_v1_0|
Distribution format: gz
|Journal reference: Comput. Phys. Commun. 118(1999)259|
|Programming language: Fortran.|
|Computer: 386/486/Pentium-based PC.|
|Operating system: MS-DOS, UNIX.|
|Keywords: General purpose, Differential equations, Sturm-liouville problem, Schrodinger equation, Cp method, Eigenvalue problem, Liouville's Transformation, Eigenfunction.|
Nature of problem:
Problems in classical and quantum mechanics which involve eigenstates.
A method previously developed for the Schrodinger equation, , is now adapted in order to solve regular Sturm-Liouville problems. The conversion of the latter to the Schrodinger problem is achieved by Liouville's transformation. The efficiency of the method relies on its high order and on the fact that its errors are distributed uniformly over the spectrum.
The code is unusually fast. The running times depend on the problem, on the processor and on the number of eigenvalues required but, as a rule, one second per eigenvalue is perhaps a pessimistic upper limit for usual problems and on PCs with at least a 386 processor.
|||L.Gr. Ixaru, H. De Meyer and G. Vanden Berghe, CP methods for the Schrodinger equation revisited, J. Comp. and Appl. Math. 88 (1998) 289-314.|
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