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Volumn 45, Issue 1-3, 2003, Pages 37-42

Explicit Numerov type methods with reduced number of stages

Author keywords

Hybrid methods; Initial value problem; Numerical solution; Two step methods

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; INTERPOLATION; NONLINEAR SYSTEMS; RUNGE KUTTA METHODS;

EID: 0037287868     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)80005-6     Document Type: Article
Times cited : (56)

References (22)
  • 4
    • 0033131796 scopus 로고    scopus 로고
    • SLCPM12 - A program for solving regular Sturm-Liouville problems
    • L.Gr. Ixaru, H. de Meyer and G. Vanden Berghe, SLCPM12 - A program for solving regular Sturm-Liouville problems, Comput. Phys. Commun. 118, 259-277, (1999).
    • (1999) Comput. Phys. Commun. , vol.118 , pp. 259-277
    • Ixaru, L.Gr.1    De Meyer, H.2    Vanden Berghe, G.3
  • 5
    • 0032680240 scopus 로고    scopus 로고
    • A conditionally P-stable fourth-order exponential-fitting method for y″ = f(x, y)
    • L.Gr. Ixaru and B. Paternoster, A conditionally P-stable fourth-order exponential-fitting method for y″ = f(x, y), J. Comput. Appl. Math. 106, 87-98, (1999).
    • (1999) J. Comput. Appl. Math. , vol.106 , pp. 87-98
    • Ixaru, L.Gr.1    Paternoster, B.2
  • 6
    • 0002209148 scopus 로고    scopus 로고
    • A P-stable exponentially-fitted method for the numerical integration of the Schrödinger equation
    • Z. Kalogiratou and T.E. Simos, A P-stable exponentially-fitted method for the numerical integration of the Schrödinger equation, Appl. Math. Comput. 112, 99-112, (2000).
    • (2000) Appl. Math. Comput. , vol.112 , pp. 99-112
    • Kalogiratou, Z.1    Simos, T.E.2
  • 7
    • 0033429763 scopus 로고    scopus 로고
    • A family of P-stable exponentially-fitted methods for the numerical solution of the Schrödinger equation
    • T.E. Simos, A family of P-stable exponentially-fitted methods for the numerical solution of the Schrödinger equation, J. Math. Chem. 25, 65-84, (1999).
    • (1999) J. Math. Chem. , vol.25 , pp. 65-84
    • Simos, T.E.1
  • 8
    • 0032842252 scopus 로고    scopus 로고
    • An exponentially-fitted eighth order method for the numerical solution of the Sehrödinger equation
    • T.E. Simos, An exponentially-fitted eighth order method for the numerical solution of the Sehrödinger equation, J. Comput. Appl. Math. 108, 177-194, (1999).
    • (1999) J. Comput. Appl. Math. , vol.108 , pp. 177-194
    • Simos, T.E.1
  • 9
    • 0347357926 scopus 로고    scopus 로고
    • A general procedure for the adaptation of multistep algorithms to the integration of oscillatory problems
    • J. Vigo-Aguiar and J.M. Ferrandiz, A general procedure for the adaptation of multistep algorithms to the integration of oscillatory problems, SIAM J. Numer. Anal. 35, 1684-1708, (1998).
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 1684-1708
    • Vigo-Aguiar, J.1    Ferrandiz, J.M.2
  • 10
    • 0021578695 scopus 로고
    • Numerov type method with minimal phase lag for the integration of second order periodic initial value problems
    • M.M. Chawla and P.S. Rao, Numerov type method with minimal phase lag for the integration of second order periodic initial value problems, J. Comput. Appl. Math. 11, 277-281, (1984).
    • (1984) J. Comput. Appl. Math. , vol.11 , pp. 277-281
    • Chawla, M.M.1    Rao, P.S.2
  • 11
    • 0022752603 scopus 로고
    • Numerov type method with minimal phase lag for the integration of second order periodic initial value problems II. Explicit method
    • M.M. Chawla and P.S. Rao, Numerov type method with minimal phase lag for the integration of second order periodic initial value problems II. Explicit method, J. Comput. Appl. Math. 15, 329-337, (1986).
    • (1986) J. Comput. Appl. Math. , vol.15 , pp. 329-337
    • Chawla, M.M.1    Rao, P.S.2
  • 12
    • 0023315288 scopus 로고
    • An explicit sixth-order method with phase-lag of order eight for y″ = f(x, y)
    • M.M. Chawla and P.S. Rao, An explicit sixth-order method with phase-lag of order eight for y″ = f(x, y), J. Comput. Appl. Math. 17, 365-368, (1987).
    • (1987) J. Comput. Appl. Math. , vol.17 , pp. 365-368
    • Chawla, M.M.1    Rao, P.S.2
  • 13
    • 0002586288 scopus 로고
    • Explicit two-step methods with minimal phase-lag for the numerical integration of special second order initial value problems and their application to the one dimensional Schrödinger equation
    • T.E. Simos, Explicit two-step methods with minimal phase-lag for the numerical integration of special second order initial value problems and their application to the one dimensional Schrödinger equation, J. Comput. Appl. Math. 39, 89-94, (1992).
    • (1992) J. Comput. Appl. Math. , vol.39 , pp. 89-94
    • Simos, T.E.1
  • 14
    • 0002746287 scopus 로고    scopus 로고
    • Explicit high order methods for the numerical integration of periodic initial value problems
    • Ch. Tsitouras and T.E. Simos, Explicit high order methods for the numerical integration of periodic initial value problems, Appl. Math. and Comput. 95, 15-26, (1998).
    • (1998) Appl. Math. and Comput. , vol.95 , pp. 15-26
    • Tsitouras, Ch.1    Simos, T.E.2
  • 15
    • 0003997447 scopus 로고
    • Classical eighth and lower order Runge-Kutta-Nyström formulas with stepsize control for special second order differential equations
    • G.C. Marshall Space Flight Center, AL, (March)
    • E. Fehlberg, Classical eighth and lower order Runge-Kutta-Nyström formulas with stepsize control for special second order differential equations, NASA Tech. Rep. TR R-381, G.C. Marshall Space Flight Center, AL, (March 1972).
    • (1972) NASA Tech. Rep. , vol.TR R-381
    • Fehlberg, E.1
  • 18
    • 0019669907 scopus 로고
    • Intervals of periodicity and absolute stability of explicit Nyström methods
    • M.M. Chawla and S.R. Sharma, Intervals of periodicity and absolute stability of explicit Nyström methods, BIT 21, 455-464, (1981).
    • (1981) BIT , vol.21 , pp. 455-464
    • Chawla, M.M.1    Sharma, S.R.2
  • 20
    • 0042138309 scopus 로고    scopus 로고
    • A tenth order symplectie Runge-Kutta-Nyström method
    • Ch. Tsitouras, A tenth order symplectie Runge-Kutta-Nyström method, Cele. Mech. and Dynam. Astron. 74, 223-230, (1999).
    • (1999) Cele. Mech. and Dynam. Astron. , vol.74 , pp. 223-230
    • Tsitouras, Ch.1
  • 21
    • 0001418178 scopus 로고
    • Stabilization of Cowell's classical finite difference methods for numerical integration
    • R. van Dooren, Stabilization of Cowell's classical finite difference methods for numerical integration, J. Comput. Phys. 16, 186-192, (1974).
    • (1974) J. Comput. Phys. , vol.16 , pp. 186-192
    • Van Dooren, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.