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The deffered difference correction for the Numerov method

โœ Scribed by Charlotte Froese Fischer

Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
230 KB
Volume
2
Category
Article
ISSN
0010-4655

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โœฆ Synopsis

The Numerov method is frequently used to solve differential equations of the type

An algorithm is described which improves the accuracy of the Numerov method without significantly increasing the amount of computation when such equations are solved as part of an SCF procedure. Examples of the increase in accuracy are given for the hydrogen equation.

๐Ÿ“œ SIMILAR VOLUMES

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โœ W.E. Baylis; S.J. Peel ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 536 KB

Title of program: PCNUM Method of solution A predictor-corrector version of the Numerov method is Catalogue number: AARJ applied [1]. Step size is adjusted to maintain a specified accuracy, and solutions to homogeneous differential equa-Program obtainable from: CPC Program Library, Queen's tions can

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โœ Lesล‚aw K. Bieniasz ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 122 KB ๐Ÿ‘ 1 views

## Abstract The fourthโ€order accurate, threeโ€point finiteโ€difference Numerov spatial discretization provides accurate and efficient solutions to the timeโ€dependent governing differential equations of electrochemical kinetics in oneโ€dimensional space geometry, when the equations contain first time d

Errors in eigenvalues calculated by the
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โœ P.G. Guest ๐Ÿ“‚ Article ๐Ÿ“… 1974 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 284 KB

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โœ Aristophanes Metropoulos ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.