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Volumn 22, Issue 4, 2006, Pages 395-402

Stability analysis of frequency and step length dependent Runge-Kutta-Nyström methods

Author keywords

Numerical methods for ordinary differential equations; Runge Kutta Nystr m methods; Stability analysis

Indexed keywords

NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS; OSCILLATORY SOLUTIONS; RUNGE-KUTTA- NYSTRÖM METHODS; STABILITY ANALYSIS;

EID: 29644448202     PISSN: 0167739X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.future.2004.11.028     Document Type: Article
Times cited : (2)

References (15)
  • 1
    • 0342669959 scopus 로고    scopus 로고
    • Analysis of stability of rational approximations through computer algebra
    • V.G. Ganzha E.W. Mayr E.V. Vorozhtsov Springer Verlag Berlin
    • M. Cafaro, and B. Paternoster Analysis of stability of rational approximations through computer algebra V.G. Ganzha E.W. Mayr E.V. Vorozhtsov Computer Algebra in Scientific Computing CASC-99 1999 Springer Verlag Berlin 25 36
    • (1999) Computer Algebra in Scientific Computing CASC-99 , pp. 25-36
    • Cafaro, M.1    Paternoster, B.2
  • 3
    • 0005285043 scopus 로고    scopus 로고
    • P-stability and exponential-fitting methods for y″=f(x,y)
    • J.P. Coleman, and L.Gr. Ixaru 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
  • 4
    • 0034512338 scopus 로고    scopus 로고
    • Mixed collocation methods for y″ = f(x,y)
    • J.P. Coleman, and S.C. Duxbury Mixed collocation methods for y ′ ′ = f (x, y ) J. Comput. Appl. Math. 126 2000 47 75
    • (2000) J. Comput. Appl. Math. , vol.126 , pp. 47-75
    • Coleman, J.P.1    Duxbury, S.C.2
  • 5
    • 0003239298 scopus 로고
    • Stability of Runge-Kutta methods for stiff nonlinear differential equations
    • North-Holland Amsterdam
    • K. Dekker, and J.G. Verwer Stability of Runge-Kutta methods for stiff nonlinear differential equations, CWI Monograph 1984 North-Holland Amsterdam
    • (1984) CWI Monograph
    • Dekker, K.1    Verwer, J.G.2
  • 7
    • 0032680240 scopus 로고    scopus 로고
    • A conditionally P-stable fourth order exponential-fitting method for y″ = f(t,y )
    • L.Gr. Ixaru, and B. Paternoster A conditionally P-stable fourth order exponential-fitting method for y ′ ′ = f (t, y ) J. Comput. Appl. Math. 106 1999 87 98
    • (1999) J. Comput. Appl. Math. , vol.106 , pp. 87-98
    • Ixaru, L.Gr.1    Paternoster, B.2
  • 8
    • 0000657979 scopus 로고
    • Stability of collocation methods for the numerical solution of y″ = f(t,y)
    • L. Kramarz Stability of collocation methods for the numerical solution of y ′ ′ = f (t, y ) BIT 20 1980 215 222
    • (1980) BIT , vol.20 , pp. 215-222
    • Kramarz, L.1
  • 9
    • 18044368820 scopus 로고
    • Numerical methods for ordinary differential systems
    • John Wiley & Sons
    • J.D. Lambert Numerical methods for ordinary differential systems The Initial Value Problem 1991 John Wiley & Sons
    • (1991) The Initial Value Problem
    • Lambert, J.D.1
  • 10
    • 0032183736 scopus 로고    scopus 로고
    • Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials
    • B. Paternoster Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials Appl. Numer. Math. 28 2-4 1998 401 412
    • (1998) Appl. Numer. Math. , vol.28 , Issue.2-4 , pp. 401-412
    • Paternoster, B.1
  • 11
    • 0034509539 scopus 로고    scopus 로고
    • A phase-fitted collocation-based Runge-Kutta-Nyström method
    • B. Paternoster A phase-fitted collocation-based Runge-Kutta-Nyström method Appl. Numer. Math. 35 4 2000 239 355
    • (2000) Appl. Numer. Math. , vol.35 , Issue.4 , pp. 239-355
    • Paternoster, B.1
  • 12
    • 0032019937 scopus 로고    scopus 로고
    • Computation of the interval of stability of Runge-Kutta-Nyström methods
    • B. Paternoster, and M. Cafaro Computation of the interval of stability of Runge-Kutta-Nyström methods J. Symb. Comp. 25 3 1998 383 394
    • (1998) J. Symb. Comp. , vol.25 , Issue.3 , pp. 383-394
    • Paternoster, B.1    Cafaro, M.2
  • 13
    • 85011452049 scopus 로고    scopus 로고
    • Numerical solution of highly oscillatory ordinary differential equations
    • Cambridge University Press
    • L.R. Petzold, L.O. Jay, and J. Yen Numerical solution of highly oscillatory ordinary differential equations Acta Numerica 1997 Cambridge University Press 437 483
    • (1997) Acta Numerica , pp. 437-483
    • Petzold, L.R.1    Jay, L.O.2    Yen, J.3
  • 14
    • 0000688555 scopus 로고
    • Diagonally implicit Runge-Kutta Nyström methods for oscillatory problems
    • P.J. van der Houwen, and B.P. Sommeijer Diagonally implicit Runge-Kutta Nyström methods for oscillatory problems SIAM J. Num. Anal. 26 1989 414 429
    • (1989) SIAM J. Num. Anal. , vol.26 , pp. 414-429
    • Van Der Houwen, P.J.1    Sommeijer, B.P.2
  • 15
    • 0001606109 scopus 로고
    • Stability of collocation-based Runge-Kutta-Nyström methods
    • P.J. van der Houwen, B.P. Sommeijer, and N.H. Cong Stability of collocation-based Runge-Kutta-Nyström methods BIT 31 1991 469 481
    • (1991) BIT , vol.31 , pp. 469-481
    • Van Der Houwen, P.J.1    Sommeijer, B.P.2    Cong, N.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.