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Volumn 1196, Issue , 1997, Pages 536-545

P-stable mono-implicit Runge-Kutta-Nyström modifications of the Numerov method

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL ANALYSIS; STABILITY;

EID: 84944445946     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: None     Document Type: Conference Paper
Times cited : (4)

References (17)
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  • 2
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  • 3
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    • Numerical methods for y” = f(X, y) via rational approximations for the cosine, IMA
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    • (1989) J. Numer. Anal , vol.9 , pp. 145-165
    • Coleman, J.P.1
  • 4
    • 0041179607 scopus 로고
    • An explicit hybrid method of Numerov type for second-order periodic initial-value problems
    • Franco, J.M., An explicit hybrid method of Numerov type for second-order periodic initial-value problems, J. Comp. Appl. Math. 59 (1995) 79-90
    • (1995) J. Comp. Appl. Math , vol.59 , pp. 79-90
    • Franco, J.M.1
  • 5
    • 34250391672 scopus 로고
    • A theory for NystrSm methods
    • Hairer, E., Wanner, G., A theory for NystrSm methods, Num. Math. 25 (1976) 383-400
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    • Hairer, E.1    Wanner, G.2
  • 6
    • 0000761144 scopus 로고
    • Méthodes de NystrSm pour l’öquation différentielle y’ = f(X, y)
    • Hairer, E., Méthodes de NystrSm pour l’öquation différentielle y’ = f(x, y), Num. Math. 27 (1977) 283-300
    • (1977) Num. Math , vol.27 , pp. 283-300
    • Hairer, E.1
  • 7
    • 0000932450 scopus 로고
    • Unconditionally stable methods for second order differential equations
    • Hairer, E., Unconditionally stable methods for second order differential equations, Num. Math. 32 (1979) 373-379
    • (1979) Num. Math , vol.32 , pp. 373-379
    • Hairer, E.1
  • 9
    • 0002792006 scopus 로고
    • A Numerov-like scheme for the numerical solution of the SchrSdinger equation in the deep continuum spectrum of energies
    • Ixaru, L.Gr., Rizea, M., A Numerov-like scheme for the numerical solution of the SchrSdinger equation in the deep continuum spectrum of energies, Comput. Phys. Commun. 19 (1980) 23-27
    • (1980) Comput. Phys. Commun , vol.19 , pp. 23-27
    • Ixaru, L.1    Rizea, M.2
  • 10
    • 77958409581 scopus 로고
    • Symmetric multistep methods for periodic initial value problems
    • Lambert, J.D., Watson, I.A., Symmetric multistep methods for periodic initial value problems, J. Inst. Math. Applics. 18 (1976) 189-202
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    • Lambert, J.D.1    Watson, I.A.2
  • 11
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    • Numerov-type methods with minimal phase-lag for the numerical integration of the one-dimensional SchrSdinger equation
    • Simos, T.E., Raptis, A.D., Numerov-type methods with minimal phase-lag for the numerical integration of the one-dimensional SchrSdinger equation, Computing 45 (1990) 175-181
    • (1990) Computing , vol.45 , pp. 175-181
    • Simos, T.E.1    Raptis, A.D.2
  • 12
    • 0021316047 scopus 로고
    • Phase properties of high order almost P-stable formulae
    • Thomas, R.M., Phase properties of high order almost P-stable formulae, BIT 24 (1984) 225-238
    • (1984) BIT , vol.24 , pp. 225-238
    • Thomas, R.M.1
  • 13
    • 0001516338 scopus 로고
    • A modified Numerov integration method for general second order initial value problems
    • Van Daele, M., De Meyer, H., Vanden Berghe, G., A modified Numerov integration method for general second order initial value problems, Intern. J. Computer Math. 40 (1991) 117-127
    • (1991) Intern. J. Computer Math , vol.40 , pp. 117-127
    • Van Daele, M.1    De Meyer, H.2    Vanden Berghe, G.3
  • 14
    • 0029718139 scopus 로고    scopus 로고
    • A general theory of stabilized extended one-step methods for ODEs
    • Van Daele, M., Vanden Berghe, G., De Meyer, H., A general theory of stabilized extended one-step methods for ODEs, Intern. J. Computer Math. 60 (1996) 253-263
    • (1996) Intern. J. Computer Math , vol.60 , pp. 253-263
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  • 15
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    • A modified Numerov integration method for second order periodic initial-value problems
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    • Vanden Berghe, G.1    De Meyer, H.2    Vanthournout, J.3
  • 16
    • 0023366337 scopus 로고
    • Explicit Runge-Kutta(-NystrSm) methods with reduced plase errors for computing oscillating solutions
    • van der Houwen, P.J., Sommeijer, B.P., Explicit Runge-Kutta(-NystrSm) methods with reduced plase errors for computing oscillating solutions, SIAM J. Numer. Anal. 24 (1987) 595-617
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.