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Volumn 95, Issue 1-2, 1998, Pages 157-161

High-order zero-dissipative Runge-Kutta-Nystrom methods

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; INITIAL VALUE PROBLEMS; ORDINARY DIFFERENTIAL EQUATIONS; SET THEORY;

EID: 0032138014     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00081-8     Document Type: Letter
Times cited : (8)

References (14)
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    • J.C. Butcher On Runge-Kutta processes of high order J. Austral. Math. Soc. IV 2 1964 179 194
    • (1964) J. Austral. Math. Soc. , vol.IV , Issue.2 , pp. 179-194
    • Butcher, J.C.1
  • 2
    • 0019669907 scopus 로고
    • Intervals of periodicity and absolute stability of explicit Nyström methods for y″ = f(x,y)
    • M.M. Chawla S.R. Sharma Intervals of periodicity and absolute stability of explicit Nyström methods for y ″ = f ( x , y ) BIT 21 1981 455 464
    • (1981) BIT , vol.21 , pp. 455-464
    • Chawla, M.M.1    Sharma, S.R.2
  • 3
    • 77957212547 scopus 로고
    • Prince, High-order embedded Runge-Kutta-Nyström Formulae
    • J.R. Dormand M.E.A. El-Mikkawy Prince, High-order embedded Runge-Kutta-Nyström Formulae IMA J. Numer. Anal. 7 1987 423 430
    • (1987) IMA J. Numer. Anal. , vol.7 , pp. 423-430
    • Dormand, J.R.1    El-Mikkawy, M.E.A.2
  • 4
    • 0000417289 scopus 로고
    • A sixth-order P-stable symmetric multistep method for periodic initial-value problems of second-order differential equations
    • R.K. Jain N.S. Kambo R. Goel A sixth-order P -stable symmetric multistep method for periodic initial-value problems of second-order differential equations IMA J. Numer. Anal. 4 1984 117 125
    • (1984) IMA J. Numer. Anal. , vol.4 , pp. 117-125
    • Jain, R.K.1    Kambo, N.S.2    Goel, R.3
  • 5
    • 77958409581 scopus 로고
    • Symmetric multistep methods for periodic initial value problems
    • J.D. Lambert I.A. Watson Symmetric multistep methods for periodic initial value problems J. Inst. Math. Appl. 18 1976 189 202
    • (1976) J. Inst. Math. Appl. , vol.18 , pp. 189-202
    • Lambert, J.D.1    Watson, I.A.2
  • 7
    • 0001456693 scopus 로고    scopus 로고
    • Highly continuous interpolants for one step ODE solvers and their application to Runge-Kutta methods
    • S.N. Papakostas Ch. Tsitouras Highly continuous interpolants for one step ODE solvers and their application to Runge-Kutta methods SIAM, J. Numer. Anal. 34 1997 22 47
    • (1997) SIAM, J. Numer. Anal. , vol.34 , pp. 22-47
    • Papakostas, S.N.1    Tsitouras, Ch.2
  • 8
    • 0009402551 scopus 로고
    • Lack of dissipativity is not symplecticness
    • A. Portillo J.M. Sanz-Serna Lack of dissipativity is not symplecticness BIT 35 1995 269 276
    • (1995) BIT , vol.35 , pp. 269-276
    • Portillo, A.1    Sanz-Serna, J.M.2
  • 9
    • 0026216091 scopus 로고
    • Numerical comparisons of some explicit Runge-Kutta pairs
    • P. Sharp Numerical comparisons of some explicit Runge-Kutta pairs ACM Trans. Math. Software 17 1991 387 409
    • (1991) ACM Trans. Math. Software , vol.17 , pp. 387-409
    • Sharp, P.1
  • 10
    • 0030640645 scopus 로고    scopus 로고
    • A P-stable eighth-order method for the numerical integration of periodic initial-value problems
    • T.E. Simos Ch. Tsitouras A P-stable eighth-order method for the numerical integration of periodic initial-value problems J. Comput. Phys. 130 1997 123 128
    • (1997) J. Comput. Phys. , vol.130 , pp. 123-128
    • Simos, T.E.1    Tsitouras, Ch.2
  • 11
    • 33645269140 scopus 로고
    • Stabilization of Cowell's methods
    • E. Stiefel D.G. Bettis Stabilization of Cowell's methods Numer. Math. 13 1969 154 175
    • (1969) Numer. Math. , vol.13 , pp. 154-175
    • Stiefel, E.1    Bettis, D.G.2
  • 12
    • 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 1998 65 69
    • (1998) Appl. Math. Lett. , vol.11 , pp. 65-69
    • Tsitouras, Ch.1
  • 14
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    • Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions
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    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 595-617
    • Van der Houwen, P.J.1    Sommeijer, B.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.