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Volumn 60, Issue 3, 2014, Pages 627-640

Long-Term Stability of Multi-Value Methods for Ordinary Differential Equations

Author keywords

Backward error analysis; General linear methods; Hamiltonian systems; Long term integration; Modulated Fourier expansion; Multi value methods; Parasitic components

Indexed keywords

DIFFERENTIAL EQUATIONS; ERROR ANALYSIS; ORDINARY DIFFERENTIAL EQUATIONS;

EID: 84927805063     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-013-9812-y     Document Type: Article
Times cited : (35)

References (15)
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    • Partitioned General Linear Methods for Separable Hamiltonian Problems
    • Butcher, J.C., D’Ambrosio, R.: Partitioned General Linear Methods for Separable Hamiltonian Problems. Submitted for publication (2013)
    • (2013) Submitted for publication
    • Butcher, J.C.1    D’Ambrosio, R.2
  • 6
    • 85067710442 scopus 로고    scopus 로고
    • Dahlquist, G.: Stability and error bounds in the numerical integration of ordinary differential equations. Trans. R. Inst. Tech. Stockholm Sweden 130 (1959)
    • Dahlquist, G.: Stability and error bounds in the numerical integration of ordinary differential equations. Trans. R. Inst. Tech. Stockholm Sweden 130 (1959)
  • 7
    • 84888134539 scopus 로고    scopus 로고
    • G-symplecticity implies conjugate-symplecticity of the underlying one-step method
    • D’Ambrosio, R., Hairer, E., Zbinden, C.J.: G-symplecticity implies conjugate-symplecticity of the underlying one-step method. BIT Numer. Math. 53, 867–872 (2013)
    • (2013) BIT Numer. Math. , vol.53 , pp. 867-872
    • D’Ambrosio, R.1    Hairer, E.2    Zbinden, C.J.3
  • 8
  • 9
    • 22844456938 scopus 로고    scopus 로고
    • Backward error analysis for multistep methods
    • Hairer, E.: Backward error analysis for multistep methods. Numer. Math. 84, 199–232 (1999)
    • (1999) Numer. Math. , vol.84 , pp. 199-232
    • Hairer, E.1
  • 11
    • 3142580393 scopus 로고    scopus 로고
    • Symmetric multistep methods over long times
    • Hairer, E., Lubich, C.: Symmetric multistep methods over long times. Numer. Math. 97, 699–723 (2004)
    • (2004) Numer. Math. , vol.97 , pp. 699-723
    • Hairer, E.1    Lubich, C.2
  • 12
    • 79957493261 scopus 로고    scopus 로고
    • Oscillations over long times in numerical Hamiltonian systems
    • Engquist B, Fokas A, Hairer E, Iserles A, (eds), 366, Cambridge University Press, Cambridge:
    • Hairer, E., Lubich, C.: Oscillations over long times in numerical Hamiltonian systems. In: Engquist, B., Fokas, A., Hairer, E., Iserles, A. (eds.) Highly Oscillatory Problems. LMS Lecture Notes Series, vol. 366, pp. 1–24. Cambridge University Press, Cambridge (2009)
    • (2009) Highly Oscillatory Problems. LMS Lecture Notes Series , pp. 1-24
    • Hairer, E.1    Lubich, C.2
  • 15
    • 84873370137 scopus 로고    scopus 로고
    • On conjugate symplecticity of B-series integrators
    • Hairer, E., Zbinden, C.J.: On conjugate symplecticity of B-series integrators. IMA J. Numer. Anal. 33(1), 57–79 (2013)
    • (2013) IMA J. Numer. Anal. , vol.33 , Issue.1 , pp. 57-79
    • Hairer, E.1    Zbinden, C.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.