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Volumn 72, Issue 242, 2003, Pages 729-756

Nyström-Clenshaw-Curtis quadrature for integral equations with discontinuous kernels

Author keywords

Discontinuous kernels; Fast algorithms; Nonlocal potentials

Indexed keywords


EID: 0037376829     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-02-01431-X     Document Type: Article
Times cited : (31)

References (29)
  • 2
    • 0033293734 scopus 로고    scopus 로고
    • Hybrid Gauss-trapezoidal quadrature rules
    • MR 2000m:41044
    • B.K. Alpert, Hybrid Gauss-Trapezoidal Quadrature Rules, SIAM J. Sci. Comput. 20, 5 (1999), pp. 1551-1584. MR 2000m:41044
    • (1999) SIAM J. Sci. Comput. , vol.20 , Issue.5 , pp. 1551-1584
    • Alpert, B.K.1
  • 6
    • 0030246195 scopus 로고    scopus 로고
    • Conjugate Gradient methods for toeplitz systems
    • MR 97i:65048
    • R.H. Chan and M.K. Ng, Conjugate Gradient Methods for Toeplitz Systems, SIAM Review 38, 3 (1996), pp. 427-482. MR 97i:65048
    • (1996) SIAM Review , vol.38 , Issue.3 , pp. 427-482
    • Chan, R.H.1    Ng, M.K.2
  • 7
    • 0000624238 scopus 로고
    • A method for numerical integration on an automatic computer
    • MR 22:8659
    • C.W. Clenshaw and A. R. Curtis, A method for numerical integration on an automatic computer, Numer. Math. 2 (1960), pp. 197-205. MR 22:8659
    • (1960) Numer. Math. , vol.2 , pp. 197-205
    • Clenshaw, C.W.1    Curtis, A.R.2
  • 9
    • 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
    • Ch. Elster, E.E. Evans, H. Kamada and W. Gloeckle, 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 Systems, 21, 25 (1996), pp. 25-45.
    • (1996) Few-Body Systems , vol.21 , Issue.25 , pp. 25-45
    • Elster, Ch.1    Evans, E.E.2    Kamada, H.3    Gloeckle, W.4
  • 10
    • 33747835834 scopus 로고
    • A Unified theory of nuclear reactions II
    • MR 25:4863
    • H. Feshbach, A Unified Theory of Nuclear Reactions II, Ann. Phys. NY, 19 (1962), pp. 287-313. MR 25:4863
    • (1962) Ann. Phys. NY , vol.19 , pp. 287-313
    • Feshbach, H.1
  • 13
    • 0031161231 scopus 로고    scopus 로고
    • Integral equation method for the continuous spectrum radial schrödinger equation
    • MR 981:81040
    • R.A Gonzales, J. Eisert, I. Koltracht, M. Neumann and G. Rawitscher, Integral Equation Method for the Continuous Spectrum Radial Schrödinger Equation, J. of Comput. Phys. 134 (1997), 134-149. MR 981:81040
    • (1997) J. of Comput. Phys. , vol.134 , pp. 134-149
    • Gonzales, R.A.1    Eisert, J.2    Koltracht, I.3    Neumann, M.4    Rawitscher, G.5
  • 15
    • 84990556194 scopus 로고
    • On the numerical solution of two-point boundary value problems
    • MR 92a:34018
    • L. Greengard and V. Rokhlin, On the Numerical Solution of Two-Point Boundary Value Problems, Commun. Pure Appl. Math., 44 (1991), pp. 419-452. MR 92a:34018
    • (1991) Commun. Pure Appl. Math. , vol.44 , pp. 419-452
    • Greengard, L.1    Rokhlin, V.2
  • 17
    • 0000915084 scopus 로고    scopus 로고
    • High order corrected trapezoidal quadrature rules for singular functions
    • MR 98k:65011
    • S. Kapur and V. Rokhlin, High Order Corrected Trapezoidal Quadrature Rules for Singular Functions, SIAM J. Numer. Anal., 34, 4 (1997), pp. 1331-1356. MR 98k:65011
    • (1997) SIAM J. Numer. Anal. , vol.34 , Issue.4 , pp. 1331-1356
    • Kapur, S.1    Rokhlin, V.2
  • 19
    • 0007157912 scopus 로고
    • The bonn meson-exchange model for the nucleon-nucleon Interaction
    • R. Machleidt, K. Holinde and Ch. Elster, The Bonn Meson-Exchange Model for the Nucleon-Nucleon Interaction, Phys. Rep. 149, 1 (1987), pp. 1-89.
    • (1987) Phys. Rep. , vol.149 , Issue.1 , pp. 1-89
    • Machleidt, R.1    Holinde, K.2    Elster, Ch.3
  • 20
    • 0030537111 scopus 로고    scopus 로고
    • Nonlocal Nature of the Nuclear Force and its Impact on Nuclear Structure
    • R. Machleidt, F. Sammarruca and Y. Song, Nonlocal Nature of the Nuclear Force and its Impact on Nuclear Structure, Phys. Rev. C 53, R1483 (1996), pp. 1483-1487.
    • (1996) Phys. Rev. C , vol.53 , Issue.R1483 , pp. 1483-1487
    • Machleidt, R.1    Sammarruca, F.2    Song, Y.3
  • 22
    • 50549163557 scopus 로고
    • A nonlocal potential model for the scattering of neutrons by Nuclei
    • F. Perey and B. Buck, A Nonlocal Potential Model for the Scattering of Neutrons by Nuclei, Nucl. Phys. 32, 353 (1962), pp. 353-380.
    • (1962) Nucl. Phys. , vol.32 , Issue.353 , pp. 353-380
    • Perey, F.1    Buck, B.2
  • 23
    • 0000487055 scopus 로고    scopus 로고
    • Comparison of numerical methods for the calculation of cold atomic collisions
    • G.H. Rawitscher, B.D. Esry, E. Tiesinga, P. Burke, Jr. and I. Koltracht, Comparison of Numerical Methods for the Calculation of Cold Atomic Collisions, J. Chem. Phys. 111, 23 (1999), 10418-10426.
    • (1999) J. Chem. Phys. , vol.111 , Issue.23 , pp. 10418-10426
    • Rawitscher, G.H.1    Esry, B.D.2    Tiesinga, E.3    Burke P., Jr.4    Koltracht, I.5
  • 25
    • 0001315985 scopus 로고
    • Fast solution methods for fredholm integral equations of the second kind
    • MR 911:65211
    • L. Reichel, Fast Solution Methods for Fredholm Integral Equations of the Second Kind, Numer. Math. 57 (1989), pp. 719-736. MR 911:65211
    • (1989) Numer. Math. , vol.57 , pp. 719-736
    • Reichel, L.1
  • 26
    • 0003655416 scopus 로고
    • Macmillan Publishing Company, NY, MR 90g:00004
    • H.L. Royden, Real Analysis, 3rd Edition, Macmillan Publishing Company, NY, 1988. MR 90g:00004
    • (1988) Real Analysis, 3rd Edition
    • Royden, H.L.1
  • 27
    • 0000853973 scopus 로고
    • Noniterative solutions of integral equations for scattering. I. Single channels
    • MR 58:7006
    • W.N. Sams and D.J. Kouri, Noniterative Solutions of Integral Equations for Scattering. I. Single Channels, J. Chem. Phys. 51 (1969), pp. 4809-4814. MR 58:7006
    • (1969) J. Chem. Phys. , vol.51 , pp. 4809-4814
    • Sams, W.N.1    Kouri, D.J.2
  • 28
    • 0012372910 scopus 로고
    • Noniterative integral-equation approach to scattering problems
    • MR 50:15691
    • E.R. Smith and R.J.W. Henry, Noniterative Integral-Equation Approach to Scattering Problems, Phys. Rev. A 7, (1973), pp. 1585-1590. MR 50:15691
    • (1973) Phys. Rev. A , vol.7 , pp. 1585-1590
    • Smith, E.R.1    Henry, R.J.W.2
  • 29
    • 0000671160 scopus 로고
    • Locally convergent multidimensional quadrature rules for singular functions
    • MR 96b:65026
    • J. Strain, Locally Convergent Multidimensional Quadrature Rules for Singular Functions, SIAM J. Sci. Comput. 16, 4 (1995), pp. 992-1017. MR 96b:65026
    • (1995) SIAM J. Sci. Comput. , vol.16 , Issue.4 , pp. 992-1017
    • Strain, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.