×

SLCPM12

swMATH ID: 873
Software Authors: Ixaru, L. Gr.; Meyer, H. De; Berghe, G. Vanden
Description: SLCPM12, a program for solving regular Sturm-Liouville problems. The code SLCPM12 first converts the original Sturm-Liouville equation into an equation of the Schrödinger form and then it solves the latter by means of a suited highly accurate method. The conversion is done by using Liouville’s transformation and the numerical method for solving the Schrödinger equation is CPM{12,10} developed by the authors [J. Comput. Appl. Math. 88, No. 2, 289-314 (1998; Zbl 0909.65045)]. The new code is by far faster and more accurate than other existing codes, e.g. SLEDGE, SLEIGN and SL02F.
Homepage: http://cpc.cs.qub.ac.uk/summaries/ADJV_v1_0.html
Programming Languages: Fortran.
Operating Systems: MS-DOS, UNIX.
Keywords: General purpose; Differential equations; Sturm-liouville problem; Schrodinger equation; Cp method; Eigenvalue problem; Liouville’s Transformation; Eigenfunction.
Related Software: MATSLISE; SLEDGE; LILIX; SLDRIVER; SLEIGN2; SLTSTPAK; RCMS; Mathematica; Matlab; SLEIGN; Algorithm 700; PERSYS; nag; NAG; QUADPACK; formConv; EXPFIT4; SLEUTH; CRCWFN; BIZ
Cited in: 25 Documents

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
SLCPM12 – a program for solving regular Sturm-Liouville problems. Zbl 1008.34016
Ixaru, L. Gr.; De Meyer, H.; Vanden Berghe, G.
1999
all top 5

Cited by 18 Authors

13 Van Daele, Marnix
11 Ledoux, Veerle
8 Vanden Berghe, Guido
6 Ixaru, Liviu Gr.
2 Amodio, Pierluigi
2 Rizea, M.
2 Settanni, Giuseppina
1 Baeyens, Toon
1 De Meyer, Hans E.
1 Degani, Ilan
1 Famelis, Ioannis Th.
1 Ghelardoni, Paolo
1 Gheri, Giovanni
1 Ishikawa, Hideaki
1 Marletta, Marco
1 Paternoster, Beatrice
1 Schiff, Jeremy
1 Tsitouras, Charalampos
all top 5

Cited in 8 Serials

10 Computer Physics Communications
6 Journal of Computational and Applied Mathematics
2 ACM Transactions on Mathematical Software
2 Communications in Nonlinear Science and Numerical Simulation
1 Computers & Mathematics with Applications
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 SIAM Journal on Scientific Computing
1 International Journal of Modern Physics C

Cited in 4 Fields

21 Numerical analysis (65-XX)
13 Ordinary differential equations (34-XX)
7 Quantum theory (81-XX)
4 Partial differential equations (35-XX)

Citations by Year