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Volumn 154, Issue 1, 2003, Pages 115-124

Taylor series based finite difference approximations of higher-degree derivatives

Author keywords

Backward difference approximations; Central difference approximations; Finite difference approximations; Forward difference approximations; Higher degree derivatives; Numerical differentiation; Taylor series

Indexed keywords

DIFFERENTIATION (CALCULUS); FINITE DIFFERENCE METHOD;

EID: 0037407575     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(02)00816-6     Document Type: Article
Times cited : (34)

References (18)
  • 5
    • 0003319841 scopus 로고    scopus 로고
    • Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation
    • Philadelphia
    • A. Griewank, (2000). Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation, SIAM Frontiers in Applied Mathematics, Philadelphia, 2000.
    • (2000) SIAM Frontiers in Applied Mathematics
    • Griewank, A.1
  • 8
    • 0032691619 scopus 로고    scopus 로고
    • Closed form expressions for the finite difference approximations of first and higher derivatives based on Taylor series
    • Khan, I. R., Ohba, R. (1999). Closed form expressions for the finite difference approximations of first and higher derivatives based on Taylor series. J. Comp. Appl. Math., 107 1999 179-193.
    • (1999) J. Comp. Appl. Math. , vol.107 , pp. 179-193
    • Khan, I.R.1    Ohba, R.2
  • 9
    • 0034510447 scopus 로고    scopus 로고
    • New finite difference formulas for numerical differentiation
    • Khan, I. R., Ohba, R. (2001). New finite difference formulas for numerical differentiation. J. Comp. Appl. Math., 126 2001 269-276.
    • (2001) J. Comp. Appl. Math. , vol.126 , pp. 269-276
    • Khan, I.R.1    Ohba, R.2
  • 12
    • 0030367389 scopus 로고    scopus 로고
    • An eighth order method with minimal phase-lag for accurate computations for the elastic scattering phase shift problem
    • Simos, T. E. (1996). An eighth order method with minimal phase-lag for accurate computations for the elastic scattering phase shift problem. Int. J. Modern Phys. C, 7 1996 825-835.
    • (1996) Int. J. Modern Phys. C , vol.7 , pp. 825-835
    • Simos, T.E.1
  • 13
    • 0013284442 scopus 로고    scopus 로고
    • An exponentially fitted method for the numerical solution of the Schrodinger equation
    • Simos, T. E. (1997). An exponentially fitted method for the numerical solution of the Schrodinger 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
  • 14
    • 0000625927 scopus 로고    scopus 로고
    • New P-stable high-order methods with minimal phase-lag for the numerical integration of the radial Schrodinger equation
    • Simos, T. E. (1997). New P-stable high-order methods with minimal phase-lag for the numerical integration of the radial Schrodinger equation. Phys. Scripta, 55 1997 644-650.
    • (1997) Phys. Scripta , vol.55 , pp. 644-650
    • Simos, T.E.1
  • 15
    • 0031326292 scopus 로고    scopus 로고
    • Eighth order methods with minimal phase-lag for accurate computations for the elastic scattering phase-shift problem
    • Simos, T. E. (1997). 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
  • 16
    • 0002895655 scopus 로고    scopus 로고
    • An eighth order exponentially fitted method for the numerical integration of the Schrodinger equation
    • Simos, T. E. (1998). An eighth order exponentially fitted method for the numerical integration of the Schrodinger equation. Comput. Chem., 22 1998 467-489.
    • (1998) Comput. Chem. , vol.22 , pp. 467-489
    • Simos, T.E.1
  • 17
    • 0032300656 scopus 로고    scopus 로고
    • An exponentially fitted Runge-Kutta method for the numerical integration of initial value problems with periodic or oscillating solutions
    • Simos, T. E. (1998). 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
  • 18
    • 0001160013 scopus 로고    scopus 로고
    • P-stable exponentially-fitted methods for the numerical integration of the Schrodinger equation
    • Simos, T. E. (1999) P-stable exponentially-fitted methods for the numerical integration of the Schrodinger equation. J. Comput. Phys., 148 1999 305-321.
    • (1999) J. Comput. Phys. , vol.148 , pp. 305-321
    • Simos, T.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.