The properties of sine, spherical Bessel and reduced Bessel function for improving convergence of semi-infinite very oscillatory integrals: The evaluation of three-centre nuclear attraction integrals over \(B\) functions (Q2716579)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The properties of sine, spherical Bessel and reduced Bessel function for improving convergence of semi-infinite very oscillatory integrals: The evaluation of three-centre nuclear attraction integrals over \(B\) functions |
scientific article; zbMATH DE number 1599183
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The properties of sine, spherical Bessel and reduced Bessel function for improving convergence of semi-infinite very oscillatory integrals: The evaluation of three-centre nuclear attraction integrals over \(B\) functions |
scientific article; zbMATH DE number 1599183 |
Statements
2001
0 references
oscillatory integrals
0 references
nuclear attraction integrals
0 references
spherical Bessel functions
0 references
0.8182905
0 references
0.81438917
0 references
0.80787724
0 references
0.80532205
0 references
0.8051894
0 references
0.8048252
0 references
0.80380386
0 references
0.80145794
0 references
The properties of sine, spherical Bessel and reduced Bessel function for improving convergence of semi-infinite very oscillatory integrals: The evaluation of three-centre nuclear attraction integrals over \(B\) functions (English)
0 references
The paper deals with useful properties of sine, spherical Bessel and reduced Bessel functions to simplify the application of nonlinear \(D\)- and \(\widetilde D\)-transformations for accelerating the convergence of semi-infinite very oscillatory integrals and to reduce the calculation times keeping a higher predetermined accuracy. Numerical results show the efficiency of the new method compared with other alternatives.
0 references
