𝔖 Bobbio Scriptorium
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The accuracy of Numerov's method for eigenvalues

✍ Scribed by A. L. Andrew


Book ID
105403421
Publisher
Springer Netherlands
Year
1986
Tongue
English
Weight
82 KB
Volume
26
Category
Article
ISSN
0006-3835

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πŸ“œ SIMILAR VOLUMES


Errors in eigenvalues calculated by the
✍ P.G. Guest πŸ“‚ Article πŸ“… 1974 πŸ› Elsevier Science 🌐 English βš– 284 KB

Formulas axe established for the errors in the eigenvalues obtained by using standard Numerov integration methods. These error estimates can be used to derive more accurate eigenvalues without the necessity of increasing the number of iteration steps.

Comments on the Numerov-Cooley and Hartr
✍ M.J. Jamieson; M.L. Du πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 244 KB

The Numerov-Cooley and Hartree-Cooley formulae for correcting a trial eigenvalue of the Schrodinger equation are derived from linear algebra. The usual implementation of the former is noted to contain an error in the square of the step size, but in practical iteration it makes only a small change to

Classical trajectories by the Numerov me
✍ Aristophanes Metropoulos πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science 🌐 English βš– 249 KB

A variant of the Numerov method is adapted to classical trajectory calculations. Comparison to the analytic solutions of a simple proton-proton system gives encouraging results for the application ofthe method to larger systems.