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Volumn 14, Issue 1, 2010, Pages 75-109

A collocation method for the numerical Fourier analysis of quasi-periodic functions. II: Analytical error estimates

Author keywords

Fast fourier transform; Numerical fourier analysis; Quasi periodic functions

Indexed keywords


EID: 77957761095     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2010.14.75     Document Type: Article
Times cited : (23)

References (13)
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    • A collocation method for numerical Fourier analysis of quasi-periodic functions. I: Numerical tests and examples
    • G. Gómez, J. M. Mondelo and C. Simó, A collocation method for numerical Fourier analysis of quasi-periodic functions. I: Numerical tests and examples, To appear in this journal, 2010.
    • (2010) To Appear in This Journal
    • Gómez, G.1    Mondelo, J.M.2    Simó, C.3
  • 7
    • 0000868522 scopus 로고
    • On the reducibility of linear differential equations with quasiperiodic coefficients
    • À. Jorba and C. Simó, On the reducibility of linear differential equations with quasiperiodic coefficients, J. Differential Equations, 98, (1992), 111-124.
    • (1992) J. Differential Equations , vol.98 , pp. 111-124
    • Jorba, À.1    Simó, C.2
  • 8
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    • J. Laskar, The chaotic motion of the solar system. A numerical estimate of the size of the chaotic zones, Icarus, 88 (1990), 266-291.
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  • 9
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    • Introduction to frequency map analysis
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    • J. Laskar, Introduction to frequency map analysis, In "Hamiltonian Systems With Three or More Degrees of Freedom" (ed. C. Simó), NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences, 533, Kluwer Academic Publishers Group, Dordrecht, 1999, 134-150.
    • (1999) Hamiltonian Systems with Three or More Degrees of Freedom , vol.533 , pp. 134-150
    • Laskar, J.1
  • 10
    • 34247189093 scopus 로고
    • The measure of chaos by the numerical analysis of the fundamental frequencies. Application to the standard mapping
    • J. Laskar, C. Froeschlé and A. Celletti, The measure of chaos by the numerical analysis of the fundamental frequencies. Application to the standard mapping, Physica D, 56 (1992), 253-269.
    • (1992) Physica D , vol.56 , pp. 253-269
    • Laskar, J.1    Froeschlé, C.2    Celletti, A.3
  • 13
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    • Whittaker, E.T.1    Watson, G.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.