H. F. King and M. Dupuis. Numerical integration using Rys polynomials. J. Comput. Phys., 21:144--165, 1976. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
On Numerical Approximation of Electrostatic Energy in 3D - Finocchiaro, Pellegrini.. (1998) (Correct)
....pioneering work of Boys [4] showing that the ERI, as well as other relevant integrals, have an analytic exact solution for such class of functions. These analytic solutions are usually obtained through the evaluation of recursive schemes [5, 6, 7] or through the so called Rys polynomial technique [8, 9, 10]. Boerrigter, te Velde and Bearends [11] note that a large number of Gaussian type functions might be needed to tightly approximate one electron orbitals, thus making the rapid growth of the number of integrals to be evaluated a particularly vexing problem. Other type of basis functions (e.g. ....
H. F. King and M. Dupuis. Numerical integration using Rys polynomials. J. Comput. Phys., 21:144--165, 1976.
Modified Clebsch-Gordan-type expansions for products of.. - Alvarez-Nodarse, al. (1997) (Correct)
....and particularly the excellent monograph of A.F. Nikiforov, S.K. Suslov and V.B. Uvarov [41] This is the case not only for the so called classical discrete orthogonal polynomials (Hahn, Meixner, Kravchuk and Charlier) but also for discrete orthogonal sets other than the classical ones; see e.g. [12, 24, 39, 49]. The expansion of any arbitrary discrete polynomial r m (x) in series of a general (albeit fixed) set of discrete hypergeometric polynomial fp n (x)g is a matter of great interest, not yet solved save for some particular classical cases, as briefly summarized by Askey [8] and Gasper [17, 18] up ....
H.F. King and M. Dupuis, Numerical integration using Rys polynomials. J. Comput. Phys. 21 (1976), 144-165.
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