MATSLISE: The directory "predefined_problems"

The directory "predefined_problems"

The MATSLISE package includes a directory "predefined_problems". This directory contains several examples (saved as .mat-files.) The problems included in this directory can be listed by typing showPredefinedProblems at the command line:

>> showPredefinedProblems

airy.mat (/Schrodinger/infinite_interval)
anharm_oscillator.mat (/Schrodinger/infinite_interval)
bender_orszag.mat (/Schrodinger/infinite_interval)
bessel.mat (/Sturm-Liouville/regular)
bessel_normalform.mat (/distorted_Coulomb/finite_interval)
bessel_order0.mat (/distorted_Coulomb/finite_interval)
biswas.mat (/Schrodinger/infinite_interval)
close_eigenvalues.mat (/Schrodinger/regular/close_eigenvalues)
close_eigenvalues.mat (/Schrodinger/infinite_interval/close_eigenvalues)
coffey_evans.mat (/Schrodinger/regular/close_eigenvalues)
collatz.mat (/Sturm-Liouville/regular)
coulomb.mat (/distorted_Coulomb/infinite_interval)
expon_cosine_part_screening.mat (/distorted_Coulomb/infinite_interval)
expon_cosine_screening.mat (/distorted_Coulomb/infinite_interval)
gelfand_levitan_truncated.mat (/Schrodinger/regular)
harmonic_oscillator.mat (/Schrodinger/infinite_interval)
hr_anharm_oscillator.mat (/Schrodinger/infinite_interval)
hulthen_part_screening.mat (/distorted_Coulomb/infinite_interval)
hulthen_screening.mat (/distorted_Coulomb/infinite_interval)
hydrogen.mat (/distorted_Coulomb/infinite_interval)
hydrogen_truncated.mat (/distorted_Coulomb/finite_interval)
klotter.mat (/Sturm-Liouville/regular)
laguerre.mat (/distorted_Coulomb/infinite_interval)
mathieu.mat (/Schrodinger/regular)
mathieu_version.mat (/Schrodinger/regular/close_eigenvalues)
morse1.mat (/Schrodinger/infinite_interval)
morse2.mat (/Schrodinger/infinite_interval)
paine1.mat (/Schrodinger/regular)
paine2.mat (/Schrodinger/regular)
paine_slp.mat (/Sturm-Liouville/regular)
parameter_example1.mat (/Schrodinger/parameter_problems)
parameter_example2.mat (/Schrodinger/parameter_problems)
parameter_example3.mat (/Schrodinger/parameter_problems)
parameter_example_slp.mat (/Sturm-Liouville/parameter_problems)
parameter_problem_dc.mat (/distorted_Coulomb/parameter_problems)
pruess_fulton133.mat (/Schrodinger/regular)
pruess_fulton19.mat (/Sturm-Liouville/regular)
pryce33.mat (/Sturm-Liouville/infinite_interval)
pryce36.mat (/distorted_Coulomb/infinite_interval)
pryce42.mat (/distorted_Coulomb/infinite_interval)
pryce43.mat (/distorted_Coulomb/finite_interval)
pryce60.mat (/Schrodinger/infinite_interval)
pure_coulomb.mat (/distorted_Coulomb/infinite_interval)
quartic_anharm_oscillator.mat (/Schrodinger/infinite_interval)
razavy.mat (/Schrodinger/infinite_interval)
simple_slp1.mat (/Sturm-Liouville/regular)
simple_slp2.mat (/Sturm-Liouville/regular)
symm_double_well.mat (/Schrodinger/infinite_interval)
wicke_harris.mat (/Schrodinger/infinite_interval)
woods-saxon.mat (/distorted_Coulomb/infinite_interval)

Examples of Schrödinger problems

Examples of Sturm-Liouville problems

Examples of Distorted Coulomb problems


Most of these problems are defined as a testproblem by Pryce in the Appendix B of [1].

[1] J. D. Pryce, Numerical Solution of Sturm-Liouville Problems (Oxford Univ. Press, Oxford, 1993).