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Volumn 37, Issue 6, 1999, Pages 31-36

High-order explicit Runge-Kutta pair for initial value problems with oscillating solutions

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; INITIAL VALUE PROBLEMS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

EID: 0033097758     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(99)00074-7     Document Type: Article
Times cited : (6)

References (14)
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  • 3
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    • Runge-Kutta pairs for periodic initial value problems
    • G. Papageorgiou, S.N. Papakostas and Ch. Tsitouras, Runge-Kutta pairs for periodic initial value problems, Computing 51, 151-163, (1993).
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    • Papageorgiou, G.1    Papakostas, S.N.2    Tsitouras, Ch.3
  • 4
    • 0009402551 scopus 로고
    • Lack of dissipativity is not symplecticness
    • A. Portillo and J.M. Sanz-Serna, Lack of dissipativity is not symplecticness, BIT 35, 269-276, (1995).
    • (1995) BIT , vol.35 , pp. 269-276
    • Portillo, A.1    Sanz-Serna, J.M.2
  • 5
    • 0030381198 scopus 로고    scopus 로고
    • Explicit Runge-Kutta methods for initial value problems with oscillating solutions
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  • 6
    • 0002757148 scopus 로고    scopus 로고
    • A parameter study of explicit Runge-Kutta pairs of orders 6(5)
    • Ch. Tsitouras, A parameter study of explicit Runge-Kutta pairs of orders 6(5), Appl. Math. Lett. 11 (1), 65-69, (1998).
    • (1998) Appl. Math. Lett. , vol.11 , Issue.1 , pp. 65-69
    • Tsitouras, Ch.1
  • 7
    • 49149135749 scopus 로고
    • High order embedded Runge-Kutta formulae
    • P.J. Prince and J.R. Dormand, High order embedded Runge-Kutta formulae, J. Comput. Appl. Math. 7, 67-75, (1981).
    • (1981) J. Comput. Appl. Math. , vol.7 , pp. 67-75
    • Prince, P.J.1    Dormand, J.R.2
  • 8
    • 0030640645 scopus 로고    scopus 로고
    • A P-stable eighth-order method for the numerical integration of periodic initial-value problems
    • T.E. Simos and Ch. Tsitouras, A P-stable eighth-order method for the numerical integration of periodic initial-value problems, J. Comput. Phys. 130, 123-128, (1997).
    • (1997) J. Comput. Phys. , vol.130 , pp. 123-128
    • Simos, T.E.1    Tsitouras, Ch.2
  • 9
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    • Stabilization of Cowell's methods
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    • Stiefel, E.1    Bettis, D.G.2
  • 10
    • 77958409581 scopus 로고
    • Symmetric multistep methods for periodic initial value problems
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  • 11
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    • A sixth-order P-stable symmetric multistep method for periodic initial-value problems of second-order differential equations
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  • 14
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    • Highly continuous interpolants for one step ODE solvers and their application to Runge-Kutta methods
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    • Papakostas, S.N.1    Tsitouras, Ch.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.