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Volumn 186, Issue 2, 2007, Pages 1385-1394

An adapted explicit hybrid method of Numerov-type for the numerical integration of perturbed oscillators

Author keywords

Explicit hybrid methods; Long term prediction of earth satellite orbits; Numerov method; Perturbed oscillators; Scheifele G functions

Indexed keywords

ADAPTIVE ALGORITHMS; DIFFERENTIAL AMPLIFIERS; INTEGRATION; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 33947696742     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.07.129     Document Type: Article
Times cited : (8)

References (21)
  • 1
    • 77958409581 scopus 로고
    • Symmetric multistep methods for periodic initial value problems
    • Lambert J.D., and Watson I.A. 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
  • 2
    • 0021295439 scopus 로고
    • Numerov made explicit has better stability
    • Chawla M.M. Numerov made explicit has better stability. BIT 24 (1984) 117-118
    • (1984) BIT , vol.24 , pp. 117-118
    • Chawla, M.M.1
  • 3
    • 0022752603 scopus 로고
    • A Numerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems II: explicit method
    • Chawla M.M., and Rao P.S. A 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 (1986) 329-337
    • (1986) J. Comput. Appl. Math. , vol.15 , pp. 329-337
    • Chawla, M.M.1    Rao, P.S.2
  • 4
    • 0001330331 scopus 로고
    • Numerical methods for y″ = f(x, y) via rational approximations for the cosine
    • Coleman J.P. Numerical methods for y″ = f(x, y) via rational approximations for the cosine. IMA J. Numer. Anal. 9 (1989) 145-165
    • (1989) IMA J. Numer. Anal. , vol.9 , pp. 145-165
    • Coleman, J.P.1
  • 5
    • 0005285043 scopus 로고    scopus 로고
    • P-stability and exponential-fitting methods for y″ = f(x, y)
    • Coleman J.P., and Ixaru L.Gr. P-stability and exponential-fitting methods for y″ = f(x, y). IMA J. Numer. Anal. 16 (1996) 179-199
    • (1996) IMA J. Numer. Anal. , vol.16 , pp. 179-199
    • Coleman, J.P.1    Ixaru, L.Gr.2
  • 6
    • 0002715859 scopus 로고
    • Numerical tracking of small deviations from analytically known periodic orbits
    • Fairén V., Martin P., and Ferrándiz J.M. Numerical tracking of small deviations from analytically known periodic orbits. Comput. Phys. 8 (1994) 455-461
    • (1994) Comput. Phys. , vol.8 , pp. 455-461
    • Fairén, V.1    Martin, P.2    Ferrándiz, J.M.3
  • 7
    • 0032099448 scopus 로고    scopus 로고
    • An algorithm for the systematic construction of solutions to perturbed problems
    • Farto J.M., Gonzaléz A.B., and Martin P. An algorithm for the systematic construction of solutions to perturbed problems. Comput. Phys. Commun. 111 (1998) 110-132
    • (1998) Comput. Phys. Commun. , vol.111 , pp. 110-132
    • Farto, J.M.1    Gonzaléz, A.B.2    Martin, P.3
  • 8
    • 34250090179 scopus 로고
    • A general canonical transformation increasing the number of variables with applications to the two-body problem
    • Ferrándiz J.M. A general canonical transformation increasing the number of variables with applications to the two-body problem. Celest. Mech. 41 (1988) 343-357
    • (1988) Celest. Mech. , vol.41 , pp. 343-357
    • Ferrándiz, J.M.1
  • 9
    • 0001192130 scopus 로고
    • Increased accuracy of computations in the main satellite problem through linearization methods
    • Ferrándiz J.M., Sansaturio M.E., and Pojman J.R. Increased accuracy of computations in the main satellite problem through linearization methods. Celest. Mech. Dynam. Astronom. 53 (1992) 347-363
    • (1992) Celest. Mech. Dynam. Astronom. , vol.53 , pp. 347-363
    • Ferrándiz, J.M.1    Sansaturio, M.E.2    Pojman, J.R.3
  • 11
    • 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. Comput. Appl. Math. 59 (1995) 79-90
    • (1995) J. Comput. Appl. Math. , vol.59 , pp. 79-90
    • Franco, J.M.1
  • 12
    • 0036719933 scopus 로고    scopus 로고
    • Runge-Kutta-Nyström methods adapted to the numerical integration of perturbed oscillators
    • Franco J.M. Runge-Kutta-Nyström methods adapted to the numerical integration of perturbed oscillators. Comput. Phys. Commun. 147 (2002) 770-787
    • (2002) Comput. Phys. Commun. , vol.147 , pp. 770-787
    • Franco, J.M.1
  • 13
    • 8144230726 scopus 로고    scopus 로고
    • Stability of explicit ARKN method for perturbed oscillators
    • Franco J.M. Stability of explicit ARKN method for perturbed oscillators. J. Comput. Appl. Math. 173 (2005) 389-396
    • (2005) J. Comput. Appl. Math. , vol.173 , pp. 389-396
    • Franco, J.M.1
  • 14
    • 0040531663 scopus 로고    scopus 로고
    • A new family of Runge-Kutta type methods for the numerical integration of perturbed oscillators
    • González A.B., Martín P., and Farto J.M. A new family of Runge-Kutta type methods for the numerical integration of perturbed oscillators. Numer. Math. 82 (1999) 635-646
    • (1999) Numer. Math. , vol.82 , pp. 635-646
    • González, A.B.1    Martín, P.2    Farto, J.M.3
  • 16
    • 0039774491 scopus 로고    scopus 로고
    • Generalization of Störmer method for perturbed oscillators without explicit first dervatives
    • López D.J., Martin P., and Farto J.M. Generalization of Störmer method for perturbed oscillators without explicit first dervatives. J. Comput. Appl. Math. 111 (1999) 123-132
    • (1999) J. Comput. Appl. Math. , vol.111 , pp. 123-132
    • López, D.J.1    Martin, P.2    Farto, J.M.3
  • 17
    • 0036679812 scopus 로고    scopus 로고
    • A variable-stepsize variable-order multistep methods for the integration of perturbed linear oscillators
    • López D.J., Martin P., and García A. A variable-stepsize variable-order multistep methods for the integration of perturbed linear oscillators. Appl. Numer. Math. 42 (2002) 285-295
    • (2002) Appl. Numer. Math. , vol.42 , pp. 285-295
    • López, D.J.1    Martin, P.2    García, A.3
  • 18
    • 0000404911 scopus 로고    scopus 로고
    • Multistep numerical methods based on the Scheifele G-functions with application to satellite dynamics
    • Martin P., and Ferrándiz J.M. Multistep numerical methods based on the Scheifele G-functions with application to satellite dynamics. SIAM J. Numer. Anal. 34 (1997) 359-375
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 359-375
    • Martin, P.1    Ferrándiz, J.M.2
  • 19
    • 0000926830 scopus 로고
    • A four-step phase-fitted method for the numerical integration of second order initial-value problems
    • Raptis A.D., and Simos T.E. A four-step phase-fitted method for the numerical integration of second order initial-value problems. BIT 31 (1991) 160-168
    • (1991) BIT , vol.31 , pp. 160-168
    • Raptis, A.D.1    Simos, T.E.2
  • 20
    • 0000554052 scopus 로고
    • On the numerical integration of perturbed linear oscillating systems
    • Scheifele G. On the numerical integration of perturbed linear oscillating systems. ZAMP 22 (1971) 186-210
    • (1971) ZAMP , vol.22 , pp. 186-210
    • Scheifele, G.1
  • 21
    • 0023366337 scopus 로고
    • Explicit Runge-Kutta(-Nyström) methods with reduced phase errors for computing oscillating solution
    • van der Houwen P.J., and Sommeijer B.P. Explicit Runge-Kutta(-Nyström) methods with reduced phase errors for computing oscillating solution. SIAM J. Numer. Anal. 24 (1987) 595-617
    • (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.