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Volumn 5, Issue 2-4, 2009, Pages 779-792

Accuracy enhancement using spectral postprocessing for differential equations and integral equations

Author keywords

Hamiltonian system; Integral equations; Postprocessing; Rate of convergence; Spectral methods

Indexed keywords


EID: 61349147774     PISSN: 18152406     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper
Times cited : (26)

References (17)
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    • A time-splitting spectral method for three-wave interactions in media with competing quadratic and cubic nonlinearities
    • W. Bao and C. Zheng, A time-splitting spectral method for three-wave interactions in media with competing quadratic and cubic nonlinearities, Commun. Comput. Phys., 2 (2007), 123-140.
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    • Bao, W.1    Zheng, C.2
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    • 38849199118 scopus 로고    scopus 로고
    • Lotka-Volterra population model of genetic evolution
    • M. R. Dudek, Lotka-Volterra population model of genetic evolution, Commun. Comput. Phys., 2 (2007), 1174-1183.
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    • Dudek, M.R.1
  • 8
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    • Difference schemes for Hamiltonian formalism an symplectic geometry
    • K. Feng, Difference schemes for Hamiltonian formalism an symplectic geometry, J. Comput. Math., 4 (1986), 279-289.
    • (1986) J. Comput. Math , vol.4 , pp. 279-289
    • Feng, K.1
  • 11
    • 38849102343 scopus 로고    scopus 로고
    • Explicit multi-symplectic methods for Hamiltonian wave equations, Commun
    • J. Hong, S. Jiang, C. Li and H. Liu, Explicit multi-symplectic methods for Hamiltonian wave equations, Commun. Comput. Phys., 2 (2007), 662-683.
    • (2007) Comput. Phys , vol.2 , pp. 662-683
    • Hong, J.1    Jiang, S.2    Li, C.3    Liu, H.4
  • 12
    • 34547507895 scopus 로고    scopus 로고
    • Recent progress in symplectic algorithms for use in quantum system
    • X. S. Liu, Y. Y. Qi, J. F. He and P. Z. Ding, Recent progress in symplectic algorithms for use in quantum system, Commun. Comput. Phys., 2 (2007), 1-53.
    • (2007) Commun. Comput. Phys , vol.2 , pp. 1-53
    • Liu, X.S.1    Qi, Y.Y.2    He, J.F.3    Ding, P.Z.4
  • 13
    • 0034349135 scopus 로고    scopus 로고
    • An Euler-type method for two-dimensional Volterra integral equations of the first kind
    • S. Mckee, T. Tang and T. Diogo, An Euler-type method for two-dimensional Volterra integral equations of the first kind, IMA J. Numer. Anal., 20 (2000), 423-440.
    • (2000) IMA J. Numer. Anal , vol.20 , pp. 423-440
    • Mckee, S.1    Tang, T.2    Diogo, T.3
  • 15
    • 57149087968 scopus 로고    scopus 로고
    • On spectral methods for Volterra type integral equations and the convergence analysis
    • T. Tang, X. Xu and J. Cheng, On spectral methods for Volterra type integral equations and the convergence analysis, J. Comput. Math., 26 (2008), 825-837.
    • (2008) J. Comput. Math , vol.26 , pp. 825-837
    • Tang, T.1    Xu, X.2    Cheng, J.3
  • 16
    • 34147094358 scopus 로고    scopus 로고
    • Fourierization of the Legendre-Galerkin method and a new spacetime spectral method
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    • (2007) Appl. Numer. Math , vol.57 , pp. 710-720
    • Shen, J.1    Wang, L.-L.2
  • 17
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    • Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations
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    • Tang, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.