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Volumn 126, Issue 1-2, 2000, Pages 269-276

New finite difference formulas for numerical differentiation

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SOFTWARE; DIFFERENTIATION (CALCULUS); THEOREM PROVING;

EID: 0034510447     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00358-1     Document Type: Article
Times cited : (53)

References (28)
  • 2
    • 0026142959 scopus 로고
    • Maximum flat digital differentiators
    • B. Carlsson, Maximum flat digital differentiators, Electron. Lett. 27 (8) (1991) 675-677.
    • (1991) Electron. Lett. , vol.27 , Issue.8 , pp. 675-677
    • Carlsson, B.1
  • 8
    • 0032691619 scopus 로고    scopus 로고
    • Closed form expressions for the finite difference approximations of first and higher derivatives based on Taylor series
    • I.R. Khan, R. Ohba, Closed form expressions for the finite difference approximations of first and higher derivatives based on Taylor series, J. Comput. Appl. Math. 107 (1999) 179-193.
    • (1999) J. Comput. Appl. Math. , vol.107 , pp. 179-193
    • Khan, I.R.1    Ohba, R.2
  • 12
    • 0000168727 scopus 로고
    • A four-step method for the numerical solution of the Schrödinger equation
    • T.E. Simos, A four-step method for the numerical solution of the Schrödinger equation, J. Comput. Appl. Math. 30 (1990) 251-255.
    • (1990) J. Comput. Appl. Math. , vol.30 , pp. 251-255
    • Simos, T.E.1
  • 13
    • 30244538518 scopus 로고
    • A two-step method with phase-lag of order infinity for the numerical integration of second order periodic initial-value problems
    • T.E. Simos, A two-step method with phase-lag of order infinity for the numerical integration of second order periodic initial-value problems, Internat. J. Comput. Math. 39 (1991) 135-140.
    • (1991) Internat. J. Comput. Math. , vol.39 , pp. 135-140
    • Simos, T.E.1
  • 14
    • 30244570721 scopus 로고
    • Some new four-step step exponential fitting methods for the numerical solution of the radial Schrödinger equation
    • T.E. Simos, some new four-step step exponential fitting methods for the numerical solution of the radial Schrödinger equation, IMA J. Numer. Anal. 11 (1991) 347-356.
    • (1991) IMA J. Numer. Anal. , vol.11 , pp. 347-356
    • Simos, T.E.1
  • 15
    • 0026904411 scopus 로고
    • Exponentially fitted methods for the numerical integration of the Schrödinger equation
    • T.E. Simos, Exponentially fitted methods for the numerical integration of the Schrödinger equation, Comput. Phys. Commun. 71 (1992) 32-38.
    • (1992) Comput. Phys. Commun. , vol.71 , pp. 32-38
    • Simos, T.E.1
  • 16
    • 0343622378 scopus 로고
    • Two-step almost P-stable complete in phase methods for the numerical integration of second order periodic initial-value problems
    • T.E. Simos, Two-step almost P-stable complete in phase methods for the numerical integration of second order periodic initial-value problems, Internat J. Comput. Math. 46 (1992) 77-85.
    • (1992) Internat J. Comput. Math. , vol.46 , pp. 77-85
    • Simos, T.E.1
  • 17
    • 0041738853 scopus 로고
    • An explicit four-step phase-fitted method for the numerical integration of second order initial-value problems
    • T.E. Simos, An explicit four-step phase-fitted method for the numerical integration of second order initial-value problems, J. Comput. Appl. Math. 55 (1994) 125-133.
    • (1994) J. Comput. Appl. Math. , vol.55 , pp. 125-133
    • Simos, T.E.1
  • 18
    • 0030367389 scopus 로고    scopus 로고
    • An eighth order method with minimal phase-lag for accurate computations for the elastic scattering phase shift problem
    • T.E. Simos, An eighth order method with minimal phase-lag for accurate computations for the elastic scattering phase shift problem, Internat. J. Mod. Phys. C 7 (1996) 825-835.
    • (1996) Internat. J. Mod. Phys. C , vol.7 , pp. 825-835
    • Simos, T.E.1
  • 19
    • 0000625927 scopus 로고    scopus 로고
    • New P-stable high-order methods with minimal phase-lag for the numerical integration of the radial Schrödinger equation
    • T.E. Simos, New P-stable high-order methods with minimal phase-lag for the numerical integration of the radial Schrödinger equation, Phys. Scripta 55 (1997) 644-650.
    • (1997) Phys. Scripta , vol.55 , pp. 644-650
    • Simos, T.E.1
  • 20
    • 0013284442 scopus 로고    scopus 로고
    • An exponentially fitted method for the numerical solution of the Schrödinger equation
    • T.E. Simos, An exponentially fitted method for the numerical solution of the Schrödinger equation, J. Chem. Inform. Comput. Sci. 37 (1997) 343-348.
    • (1997) J. Chem. Inform. Comput. Sci. , vol.37 , pp. 343-348
    • Simos, T.E.1
  • 21
    • 0031326292 scopus 로고    scopus 로고
    • Eighth order methods with minimal phase-lag for accurate computations for the elastic scattering phase-shift problem
    • T.E. Simos, Eighth order methods with minimal phase-lag for accurate computations for the elastic scattering phase-shift problem, J. Math. Chem. 21 (1997) 359-372.
    • (1997) J. Math. Chem. , vol.21 , pp. 359-372
    • Simos, T.E.1
  • 22
    • 0343186804 scopus 로고    scopus 로고
    • High-algebraic, high phase-lag methods for accurate computations for the elastic-scattering phase shift problem
    • T.E. Simos, High-algebraic, high phase-lag methods for accurate computations for the elastic-scattering phase shift problem, Canad. J. Phys. 76 (1998) 473-493.
    • (1998) Canad. J. Phys. , vol.76 , pp. 473-493
    • Simos, T.E.1
  • 23
    • 0002895655 scopus 로고    scopus 로고
    • An eighth order exponentially-fitted method for the numerical integration of the Schrödinger equation
    • T.E. Simos, An eighth order exponentially-fitted method for the numerical integration of the Schrödinger equation, Comput. Chem. 22 (1998) 467-489.
    • (1998) Comput. Chem. , vol.22 , pp. 467-489
    • Simos, T.E.1
  • 24
    • 0032300656 scopus 로고    scopus 로고
    • An exponentially fitted Runge-Kutta method for the numerical integration of initial value problems with periodic or oscillating solutions
    • T.E. Simos, An exponentially fitted Runge-Kutta method for the numerical integration of initial value problems with periodic or oscillating solutions, Comput. Phys. Commun. 115 (1998) 1-8.
    • (1998) Comput. Phys. Commun. , vol.115 , pp. 1-8
    • Simos, T.E.1
  • 25
    • 0001160013 scopus 로고    scopus 로고
    • P-stable exponentially-fitted methods for the numerical integration of the Schrödinger equation
    • T.E. Simos, P-stable exponentially-fitted methods for the numerical integration of the Schrödinger equation, J. Comput. Phys. 148 (1999) 305-321.
    • (1999) J. Comput. Phys. , vol.148 , pp. 305-321
    • Simos, T.E.1
  • 26
    • 0001590147 scopus 로고    scopus 로고
    • A family of Numerov-type exponentially fitted methods for the numerical integration of the Schrödinger equation
    • T.E. Simos, P.S. Williams, A family of Numerov-type exponentially fitted methods for the numerical integration of the Schrödinger equation, Comput. Chem. 21 (1997) 403-417.
    • (1997) Comput. Chem. , vol.21 , pp. 403-417
    • Simos, T.E.1    Williams, P.S.2
  • 27
    • 0030103209 scopus 로고    scopus 로고
    • A family of Numerov-type exponentially fitted predictoe-corrector methods for the numerical integration of radial Schrödinger equation
    • R.M. Thomas, T.E. Simos, G.V. Mitsou, A family of Numerov-type exponentially fitted predictoe-corrector methods for the numerical integration of radial Schrödinger equation, J. Comput. Appl. Math. 67 (1996) 255-270.
    • (1996) J. Comput. Appl. Math. , vol.67 , pp. 255-270
    • Thomas, R.M.1    Simos, T.E.2    Mitsou, G.V.3
  • 28
    • 0031357296 scopus 로고    scopus 로고
    • A family of hybrid exponentially fitted predictor-corrector methods for the numerical integration of the radial Schrödinger equation
    • R.M. Thomas, T.E. Simos, A family of hybrid exponentially fitted predictor-corrector methods for the numerical integration of the radial Schrödinger equation, J. Comput. Appl. Math. 87 (1997) 215-226.
    • (1997) J. Comput. Appl. Math. , vol.87 , pp. 215-226
    • Thomas, R.M.1    Simos, T.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.