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Volumn 176, Issue 1, 2002, Pages 1-19

Efficient and rapid numerical evaluation of the two-electron, four-center Coulomb integrals using nonlinear transformations and useful properties of sine and Bessel functions

Author keywords

Bessel functions; Convergence accelerators; Molecular multicenter integrals; Nonlinear transformations; Oscillatory integrals; Semi infinite integrals

Indexed keywords

DENSITY FUNCTIONAL THEORY; FUNCTION EVALUATION;

EID: 0037050816     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2001.6925     Document Type: Article
Times cited : (29)

References (46)
  • 2
    • 0003655368 scopus 로고
    • Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds of Eigenfunctions of N-body Schrödinger Operators
    • (Princeton Univ. Press, Princeton, NJ)
    • (1982)
    • Agmon, S.1
  • 4
    • 0000570413 scopus 로고
    • The integral formulae for the variational solution of the molecular many-electron wave equation in terms of Gaussian functions with direct electronic correlation
    • (1960) Proc. Roy. Soc. A , vol.258 , pp. 402
    • Boys, S.F.1
  • 7
    • 85190819578 scopus 로고
    • Eds., International Conference on ETO Multicenter Integrals, Tallahasse, 1981 (Reidel, Dordrecht)
    • (1982)
    • Weatherford, C.A.1    Jones, H.W.2
  • 11
    • 0002973752 scopus 로고
    • Translations of fields represented by spherical-harmonics expansions for molecular calculations. III. Translations of reduced Bessel functions, Slater-type s-orbitals, and other functions
    • (1975) Theoret. Chim. Acta , vol.38 , pp. 273
    • Steinborn, E.O.1    Filter, E.2
  • 13
    • 0003811340 scopus 로고
    • Analytische Methoden zur Auswertung vom Mehrzentren-Matrixelementen in der Theorie der Molekülorbitale bei Verwendung exponentialartiger Basissätze
    • Ph.D. thesis (Universität Regensburg)
    • (1978)
    • Filter, E.1
  • 14
    • 0003700109 scopus 로고
    • Reduzierte Bessel-Funktionen als LCAO-Basissatz, Analytische und numerische Untersuchungen
    • Ph.D. thesis (Universität Regensburg)
    • (1982)
    • Weniger, E.J.1
  • 19
    • 0000808234 scopus 로고
    • Fourier transform of a two-center product of exponential-type orbitals: Application to one- and two-electron multicenter integrals
    • (1983) Phys. Rev. A , vol.27 , pp. 670
    • Trivedi, H.P.1    Steinborn, E.O.2
  • 20
    • 6244235267 scopus 로고
    • Numerical evaluation of molecular one- and two-electron multicenter integrals with exponential-type orbitals via the Fourier-transform method
    • (1988) Phys. Rev. A , vol.38 , pp. 3857
    • Grotendorst, J.1    Steinborn, E.O.2
  • 22
    • 0033241721 scopus 로고    scopus 로고
    • Non-linear transformations for rapid and efficient evaluation of multicenter bielectronic integrals over B functions
    • (1999) J. Math. Chem , vol.25 , pp. 259
    • Safouhi, H.1    Hoggan, P.E.2
  • 23
    • 0003674464 scopus 로고    scopus 로고
    • Nonlinear transformations for accelerating the convergence of molecular multicenter bielectronic integrals
    • Ph.D. thesis (Université de Blaíse Pascal, Clermont-Ferrand, France)
    • (1999)
    • Safouhi, H.1
  • 27
    • 0001449239 scopus 로고
    • Two new classes of non-linear transformations for accelerating the convergence of infinite integrals and series
    • (1981) Appl. Math. Comput , vol.9 , pp. 175
    • Levin, D.1    Sidi, A.2
  • 28
    • 84968492712 scopus 로고
    • The numerical evaluation of very oscillatory infinite integrals by extrapolation
    • (1982) Math. Comp , vol.38 , pp. 517
    • Sidi, A.1
  • 29
    • 0000950740 scopus 로고    scopus 로고
    • The HD and H D̃ methods for accelerating the convergence of three-center nuclear attraction and four-center two-electron Coulomb integrals over B functions and their convergence properties
    • (2000) J. Comp. Phys , vol.165 , pp. 473
    • Safouhi, H.1
  • 36
    • 0040005593 scopus 로고    scopus 로고
    • On the computation of the integrated product of three spherical harmonics
    • (1998) J. Phys. A , vol.31 , pp. 7157
    • Séhilleau, D.1
  • 40
    • 0000577165 scopus 로고    scopus 로고
    • Efficient evaluation of vector translation coefficients in multiparticle light-scattering theories
    • (1998) J. Comput. Phys , vol.139 , pp. 137
    • Xu, Y.-L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.