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Volumn 60, Issue 3, 2008, Pages 753-771

Two optimized runge-kutta methods for the solution of the schrödinger equation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 58149229321     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper
Times cited : (19)

References (28)
  • 4
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    • Simos T. E., Chemical Modelling - Applications and Theory 1, Specialist Periodical Reports, 2000, The Royal Society of Chemistry, Cambridge, 32-140
    • Simos T. E., Chemical Modelling - Applications and Theory Vol.1, Specialist Periodical Reports, 2000, The Royal Society of Chemistry, Cambridge, 32-140
  • 6
    • 0023366337 scopus 로고    scopus 로고
    • P. J. Van der Houwen and B.P Sommeijer, Explicit Runge-Kutta Nyström methods with reduced phase-errors for computation oscillating solutions, 1987, SIAM J. Numer. Anal., 24, 595-617
    • P. J. Van der Houwen and B.P Sommeijer, Explicit Runge-Kutta Nyström methods with reduced phase-errors for computation oscillating solutions, 1987, SIAM J. Numer. Anal., 24, 595-617
  • 7
    • 0002792006 scopus 로고
    • A Numerov-like scheme for the numerical solution of the Schrödinger equation in the deep continuum spectrum of energies
    • L.Gr. Ixaru, M. Rizea, A Numerov-like scheme for the numerical solution of the Schrödinger equation in the deep continuum spectrum of energies, Comp. Phys. Comm. 19, 23-27 (1980)
    • (1980) Comp. Phys. Comm , vol.19 , pp. 23-27
    • Gr, L.1    Ixaru2    Rizea, M.3
  • 9
    • 17744361851 scopus 로고    scopus 로고
    • Trigonometrically Fitted Runge-Kutta Methods for the Numerical Solution of the Schrödinger Equation
    • Anastassi Z.A. and Simos T.E., Trigonometrically Fitted Runge-Kutta Methods for the Numerical Solution of the Schrödinger Equation, Journal of Mathematical Chemistry 3, 281-293 (2005)
    • (2005) Journal of Mathematical Chemistry , vol.3 , pp. 281-293
    • Anastassi, Z.A.1    Simos, T.E.2
  • 10
    • 29144495720 scopus 로고    scopus 로고
    • Trigonometrically Fitted Fifth Order Runge-Kutta Methods for the Numerical Solution of the Schrödinger Equation
    • Anastassi Z.A. and Simos T.E., Trigonometrically Fitted Fifth Order Runge-Kutta Methods for the Numerical Solution of the Schrödinger Equation, Mathematical and Computer Modelling, 42 (7-8), 877-886 (2005)
    • (2005) Mathematical and Computer Modelling , vol.42 , Issue.7-8 , pp. 877-886
    • Anastassi, Z.A.1    Simos, T.E.2
  • 11
    • 58149266206 scopus 로고    scopus 로고
    • T. E. Simos, P-stable Four-Step Exponentially-Fitted Method for the Numerical Integration of the Schrödinger Equation, CoLe, 1,1. 37-45 (2005)
    • T. E. Simos, P-stable Four-Step Exponentially-Fitted Method for the Numerical Integration of the Schrödinger Equation, CoLe, 1,1. 37-45 (2005)
  • 12
    • 58149236004 scopus 로고    scopus 로고
    • T. E. Simos, Closed Newton-Cotes Trigonometrically-Fitted Formulae for Numerical Integration of the Schrödinger Equation, CoLe, 1, 3. 45-57 (2007)
    • T. E. Simos, Closed Newton-Cotes Trigonometrically-Fitted Formulae for Numerical Integration of the Schrödinger Equation, CoLe, 1, 3. 45-57 (2007)
  • 13
    • 33846374833 scopus 로고    scopus 로고
    • Implicit Advanced Step-point (BIAS) Algorithm for Stiff Differential Systems
    • 200C
    • G. Psihoyios, A Block Implicit Advanced Step-point (BIAS) Algorithm for Stiff Differential Systems. CoLe, 1-2. 2, 51-58 (200C)
    • CoLe , vol.1-2 , Issue.2 , pp. 51-58
    • Psihoyios, G.1    Block, A.2
  • 16
    • 35348846610 scopus 로고    scopus 로고
    • S. D. Capper and D. R. Moore, On High Order MIRK Schemes and Hermite-Birkhoff Interpolants, JNAIAM, 1. 1. 27-47 (2006)
    • S. D. Capper and D. R. Moore, On High Order MIRK Schemes and Hermite-Birkhoff Interpolants, JNAIAM, 1. 1. 27-47 (2006)
  • 24
    • 0036341591 scopus 로고    scopus 로고
    • A new Runge-Kutta-Nyström method with phase-lag of order infinity for the numerical solution of the Schrödinger equation
    • T. E. Simos and P.S. Williams A new Runge-Kutta-Nyström method with phase-lag of order infinity for the numerical solution of the Schrödinger equation, MATCH Commun. Math. Comput. Chem., 45, 123-137 (2002)
    • (2002) MATCH Commun. Math. Comput. Chem , vol.45 , pp. 123-137
    • Simos, T.E.1    Williams, P.S.2
  • 25
    • 11044228176 scopus 로고    scopus 로고
    • Multiderivative methods for the numerical solution of the Schrödinger equation
    • T. E. Simos, Multiderivative methods for the numerical solution of the Schrödinger equation, MATCH Commun. Math. Comput. Chem., 50, 7-26 (2004)
    • (2004) MATCH Commun. Math. Comput. Chem , vol.50 , pp. 7-26
    • Simos, T.E.1
  • 26
    • 17744366054 scopus 로고    scopus 로고
    • A family of fifth algebraic order trigonometrically fitted P-C schemes for the numerical solution of the radial Schrödinger equation
    • G. Psihoyios and T.E. Simos, A family of fifth algebraic order trigonometrically fitted P-C schemes for the numerical solution of the radial Schrödinger equation, MATCH Commun. Math. Comput. Chem., 53, 321-344 (2005)
    • (2005) MATCH Commun. Math. Comput. Chem , vol.53 , pp. 321-344
    • Psihoyios, G.1    Simos, T.E.2
  • 27
    • 27544444096 scopus 로고    scopus 로고
    • Trigonometrically-fitted multiderivative methods for the numerical solution of the radial Schrödinger equation
    • D. P. Sakas and T.E. Simos, Trigonometrically-fitted multiderivative methods for the numerical solution of the radial Schrödinger equation, MATCH Commun. Math. Comput. Chem., 53, 299-320 (2005)
    • (2005) MATCH Commun. Math. Comput. Chem , vol.53 , pp. 299-320
    • Sakas, D.P.1    Simos, T.E.2
  • 28
    • 58149241738 scopus 로고    scopus 로고
    • T. E. Simos and I. Gutman, Papers presented on the International Conference on Computational Methods in Sciences and Engineering (Castoria, Greece, September 12-16, 2003), MATCH Commun. Math. Comput. Chem., 53 (2): A3-A4 (2005)
    • T. E. Simos and I. Gutman, Papers presented on the International Conference on Computational Methods in Sciences and Engineering (Castoria, Greece, September 12-16, 2003), MATCH Commun. Math. Comput. Chem., 53 (2): A3-A4 (2005)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.