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Volumn 131, Issue 1, 2000, Pages 52-67

Embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrodinger equation and related periodic initial-value problems

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; RUNGE KUTTA METHODS;

EID: 0034274825     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4655(00)00080-1     Document Type: Article
Times cited : (47)

References (12)
  • 3
    • 34250466523 scopus 로고
    • Chebyshevian multistep methods for ordinary differential equations
    • T. Lyche, Chebyshevian multistep methods for ordinary differential equations, Numer. Math. 19 (1972) 65-75.
    • (1972) Numer. Math. , vol.19 , pp. 65-75
    • Lyche, T.1
  • 4
    • 0002481902 scopus 로고
    • Exponential-fitting methods for the numerical solution of the Schrödinger equation
    • A.D. Raptis, A.C. Allison, Exponential-fitting methods for the numerical solution of the Schrödinger equation, Comput. Phys. Commun. 14 (1978) 1-5.
    • (1978) Comput. Phys. Commun. , vol.14 , pp. 1-5
    • Raptis, A.D.1    Allison, A.C.2
  • 6
    • 33645269140 scopus 로고
    • Stabilization of Cowell's method
    • E. Stiefel, D.G. Bettis, Stabilization of Cowell's method, Numer. Math. 13 (1969) 154-175.
    • (1969) Numer. Math. , vol.13 , pp. 154-175
    • Stiefel, E.1    Bettis, D.G.2
  • 8
    • 0003539715 scopus 로고
    • Low-order classical Runge-Kutta formulas with stepsize control and their application to some heat transfer problems
    • E.Fehlberg, Low-order classical Runge-Kutta formulas with stepsize control and their application to some heat transfer problems, NASA Technical Report 315 (1969).
    • (1969) NASA Technical Report , vol.315
    • Fehlberg, E.1
  • 9
    • 0001401038 scopus 로고
    • The numerical solution of coupled differential equations arising from the Schrödinger equation
    • A.C. Allison, The numerical solution of coupled differential equations arising from the Schrödinger equation, J. Comput. Phys. 6 (1970) 378-391.
    • (1970) J. Comput. Phys. , vol.6 , pp. 378-391
    • Allison, A.C.1
  • 11
    • 0000633647 scopus 로고
    • Quantum mechanical (phase shift) analysis of differential elastic scattering of molecular beams
    • R.B. Berstein, Quantum mechanical (phase shift) analysis of differential elastic scattering of molecular beams, J. Chem. Phys. 33 (1960) 795-804.
    • (1960) J. Chem. Phys. , vol.33 , pp. 795-804
    • Berstein, R.B.1
  • 12
    • 0001752844 scopus 로고
    • A variable step method for the numerical integration of the one-dimensional Schrödinger equation
    • A.D. Raptis, J.R. Cash, A variable step method for the numerical integration of the one-dimensional Schrödinger equation, Comput. Phys. Commun. 36 (1985) 113-119.
    • (1985) Comput. Phys. Commun. , vol.36 , pp. 113-119
    • Raptis, A.D.1    Cash, J.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.