메뉴 건너뛰기




Volumn 56, Issue 10, 2008, Pages 2676-2685

Fredholm integral equation method for the integro-differential Schrödinger equation

Author keywords

Fredholm integral equation; Gauss type quadrature; Integro differential Schr dinger equation

Indexed keywords

DIFFERENCE EQUATIONS; DIFFERENTIATION (CALCULUS); NUMERICAL METHODS;

EID: 53049098278     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2008.05.027     Document Type: Article
Times cited : (4)

References (25)
  • 2
    • 33747835834 scopus 로고
    • A united theory of nuclear reactions II
    • Feshbach H. A united theory of nuclear reactions II. Ann. Phys. NY 19 (1962)
    • (1962) Ann. Phys. NY , vol.19
    • Feshbach, H.1
  • 3
    • 50549163557 scopus 로고
    • A nonlocal potential model for the scattering of neutrons by nuclei
    • Perey F., and Buck B. A nonlocal potential model for the scattering of neutrons by nuclei. Nuclear Phys. 32 (1962) 353
    • (1962) Nuclear Phys. , vol.32 , pp. 353
    • Perey, F.1    Buck, B.2
  • 4
    • 0000624238 scopus 로고
    • A method for numerical integration on an automatic computer
    • Clenshaw C.W., and Curtis A.R. A method for numerical integration on an automatic computer. Numer. Math. 2 (1960) 197-205
    • (1960) Numer. Math. , vol.2 , pp. 197-205
    • Clenshaw, C.W.1    Curtis, A.R.2
  • 8
    • 0033293734 scopus 로고    scopus 로고
    • Hybrid Gauss-Trapezoidal quadrature rules
    • Alpert B.K. Hybrid Gauss-Trapezoidal quadrature rules. SIAM J. Sci. Comput. 20 5 (1999) 1551-1584
    • (1999) SIAM J. Sci. Comput. , vol.20 , Issue.5 , pp. 1551-1584
    • Alpert, B.K.1
  • 9
    • 0001315985 scopus 로고
    • Fast solution methods for fredholm integral equations of the second kind
    • Reichel L. Fast solution methods for fredholm integral equations of the second kind. Numer. Math. 57 (1989)
    • (1989) Numer. Math. , vol.57
    • Reichel, L.1
  • 10
    • 0000915084 scopus 로고    scopus 로고
    • High order corrected trapezoidal quadrature rules for singular functions
    • Kapur S., and Rokhlin V. High order corrected trapezoidal quadrature rules for singular functions. SIAM J. Numer. Anal. 34 4 (1997)
    • (1997) SIAM J. Numer. Anal. , vol.34 , Issue.4
    • Kapur, S.1    Rokhlin, V.2
  • 11
    • 0007111447 scopus 로고
    • High order methods for linear functionals of solutions of second kind integral equations
    • Graham I.G., and Chandler G.A. High order methods for linear functionals of solutions of second kind integral equations. SIAM J. Numer. Anal. 25 5 (1988) 1118-1137
    • (1988) SIAM J. Numer. Anal. , vol.25 , Issue.5 , pp. 1118-1137
    • Graham, I.G.1    Chandler, G.A.2
  • 12
    • 84990556194 scopus 로고
    • On the numerical solution of two-point boundary value problems
    • Greengard L., and Rokhlin V. On the numerical solution of two-point boundary value problems. Commun. Pure Appl. Math. 44 (1991) 419-452
    • (1991) Commun. Pure Appl. Math. , vol.44 , pp. 419-452
    • Greengard, L.1    Rokhlin, V.2
  • 13
    • 0026202215 scopus 로고
    • Spectral integration and two-point boundary value problems
    • Greengard L. Spectral integration and two-point boundary value problems. SIAM J. Numer. Anal. 28 (1991) 4
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 4
    • Greengard, L.1
  • 14
    • 0031082738 scopus 로고    scopus 로고
    • A fast adaptive numerical method for stiff two point boundary value problems
    • Lee J.-Y., and Greengard L. A fast adaptive numerical method for stiff two point boundary value problems. SIAM J. Sci. Comput. 18 (1997) 403-429
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 403-429
    • Lee, J.-Y.1    Greengard, L.2
  • 18
    • 0030246195 scopus 로고    scopus 로고
    • Conjugate gradient methods for Toeplitz systems
    • Chan R.H., and Ng M.K. Conjugate gradient methods for Toeplitz systems. SIAM Rev. 38 3 (1996)
    • (1996) SIAM Rev. , vol.38 , Issue.3
    • Chan, R.H.1    Ng, M.K.2
  • 20
    • 0030466270 scopus 로고    scopus 로고
    • Nonlocality in the nucleon-nucleon interaction due to the minimal-relativity factors: Effects on two-nucleon observables and the three-nucleon binding energy
    • Elster Ch., Evans E.E., Kamada H., and Gloeckle W. Nonlocality in the nucleon-nucleon interaction due to the minimal-relativity factors: Effects on two-nucleon observables and the three-nucleon binding energy. Few Body Syst. 21 25 (1996)
    • (1996) Few Body Syst. , vol.21 , Issue.25
    • Elster, Ch.1    Evans, E.E.2    Kamada, H.3    Gloeckle, W.4
  • 21
    • 0038278585 scopus 로고    scopus 로고
    • A Novel Method for the solution of the Schrödinger equation in the presence of exchange terms
    • Rawitscher G., Kang S.-Y., and Koltracht I. A Novel Method for the solution of the Schrödinger equation in the presence of exchange terms. J. Chem. Phys. 118 (2003)
    • (2003) J. Chem. Phys. , vol.118
    • Rawitscher, G.1    Kang, S.-Y.2    Koltracht, I.3
  • 22
    • 0030537111 scopus 로고    scopus 로고
    • Nonlocal nature of the nuclear force and its impact on nuclear structure
    • Machleidt R., Sammarruca F., and Song Y. Nonlocal nature of the nuclear force and its impact on nuclear structure. Phys. Rev. C 53 (1996)
    • (1996) Phys. Rev. C , vol.53
    • Machleidt, R.1    Sammarruca, F.2    Song, Y.3
  • 23
    • 0042968822 scopus 로고
    • Studies in spectral line formation, I. formulation and simple applications
    • Finn G.D., and Jefferies J.T. Studies in spectral line formation, I. formulation and simple applications. J. Quant Spectrosc. Radiat. Transfer 8 (1968)
    • (1968) J. Quant Spectrosc. Radiat. Transfer , vol.8
    • Finn, G.D.1    Jefferies, J.T.2
  • 24
    • 0000853973 scopus 로고
    • Noniterative solutions of integral equations for scattering. I. single channels
    • Sams W.N., and Kouri D.J. Noniterative solutions of integral equations for scattering. I. single channels. J. Chem. Phys. 51 (1969)
    • (1969) J. Chem. Phys. , vol.51
    • Sams, W.N.1    Kouri, D.J.2
  • 25
    • 0012372910 scopus 로고
    • Noniterative integral-equation approach to scattering problems
    • Smith E.R., and Henry R.J.W. Noniterative integral-equation approach to scattering problems. Phys. Rev. A 7 (1973)
    • (1973) Phys. Rev. A , vol.7
    • Smith, E.R.1    Henry, R.J.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.