Short description of IEP (File READ.ME) 20.06.95
Programs by Markus Neher
Institute of Applied Mathematics
Karlsruhe University
D-76128 Karlsruhe, Germany
e-mail: markus.neher@math.uni-karlsruhe.de
IEP is a programming system for the reconstruction of Sturm-Liouville
potentials. IEP consists of the main programs
- IEPS_AGP for the reconstruction of spline potentials
- IEPT_AGP for the reconstruction of potentials
with a finite trigonometric expansion,
the modules
- SEIG_APP PASCAL-XSC modules
- SEIG for matrix-eigenvalue problems
- SERVICE Basic routines
- SPLINES Spline routines
- IEP_TAYK Taylor arithmetic
- IEP_RAWA Approximate solution of ivps
- IEP_IAWA Guaranteed solution of ivps
- DEP Computation of eigenvalues and eigenfunction
- DEPT of the Sturm-Liouville equation
and the files
- RITZG07.30
- RITZU07.30
for the Ritz matrices for spline potentials with 7 breakpoints in [0,\pi]
(for less or more breakpoints, the corresponding Ritz matrices have to be
supplied in other files).
To use IEP, first compile the modules in the given order, then compile the
main programms. The eigenvalues and coefficients of a starting potential
have to be entered by files.
Examples for the running of the programs:
IEPS_AGP XSQR0100.EWB SPOTQ.VAL CON RESULTS.TXT
--> reads eigenvalues from the file XSQR0100.EWB
--> reads function values in the braekpoints of a spline
from the file SPOTQ.VAL
--> writes control messages to the console
--> writes results to the file RESULTS.TXT
IEPT_AGP COS10010.EWB TPOTQ.COE CON RESULTS.TXT
--> reads eigenvalues from the file COS10010.EWB
--> reads coefficients of a trigonometric starting potential
from the file TPOTQ.COE
--> writes control messages to the console
--> writes results to the file RESULTS.TXT
The sample input files XSQR0100.EWB, COS10010.EWB, SPOTQ.VAL and TPOTQ.COE are
provided with the program files mentioned above and this short description.