PROGRAM SUMMARY
Title of program:
SLCPM12
Catalogue identifier:
ADJV
Ref. in CPC:
118(1999)259
Operating system: MS-DOS, UNIX
Number of lines in distributed program, including test data, etc:
1984
Programming language used: Fortran
Computer: 386/486/Pentium-based PC
Nature of physical problem:
Problems in classical and quantum mechanics which involve eigenstates.
Method of solution
A method previously developed for the Schrodinger equation, [1], 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.
Typical running time
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.
References
[1] 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.