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Volumn 33, Issue 5, 1996, Pages 1844-1863

Analysis and application of Fourier-Gegenbauer method to stiff differential equations

Author keywords

Fourier method; Gegenbauer series; Gibbs phenomenon; Helmholtz equation; Polynomial subtraction technique

Indexed keywords


EID: 0005729077     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142994263591     Document Type: Article
Times cited : (19)

References (14)
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    • On the Gibbs Phenomenon I: Recovering Exponential Accuracy from the Fourier Partial Sum of a Non-Periodic Analytic Function
    • Hampton, VA
    • D. GOTTLIEB, CHI-WANG SHU, A. SOLOMONOFF, AND H. VANDEVEN, On the Gibbs Phenomenon I: Recovering Exponential Accuracy from the Fourier Partial Sum of a Non-Periodic Analytic Function, ICASE Report 92-4 ICASE, Hampton, VA, 1992.
    • (1992) ICASE Report 92-4 ICASE
    • Gottlieb, D.1    Shu, C.-W.2    Solomonoff, A.3    Vandeven, H.4
  • 4
    • 85033733909 scopus 로고
    • Resolution Properties of the Fourier Method for Discontinuous Waves
    • ICASE, Hampton, VA
    • D. GOTTLIEB AND CHI-WANG SHU, Resolution Properties of the Fourier Method for Discontinuous Waves, ICASE Report 92-27, ICASE, Hampton, VA, 1992.
    • (1992) ICASE Report 92-27
    • Gottlieb, D.1    Shu, C.-W.2
  • 5
    • 85033770338 scopus 로고
    • On the Gibbs Phenomenon III: Recovering Exponential Accuracy in a Sub-Interval from a Spectral Sum of a Piecewise Analytic Function
    • ICASE, Hampton, VA
    • _, On the Gibbs Phenomenon III: Recovering Exponential Accuracy in a Sub-Interval from a Spectral Sum of a Piecewise Analytic Function, ICASE Report 93-82, ICASE, Hampton, VA, 1993.
    • (1993) ICASE Report 93-82
  • 6
    • 85033733628 scopus 로고
    • On the Gibbs Phenomenon V: Recovering Exponential Accuracy from Collocation Point Values of a Piecewise Analytic Function
    • ICASE, Hampton, VA
    • _, On the Gibbs Phenomenon V: Recovering Exponential Accuracy from Collocation Point Values of a Piecewise Analytic Function, ICASE Report 94-61, ICASE, Hampton, VA, 1994.
    • (1994) ICASE Report 94-61
  • 7
    • 0002193620 scopus 로고
    • Numerical analysis of spectral methods: Theory and applications
    • Society for Industrial and Applied Mathematics, Philadelphia, PA
    • D. GOTTLIEB AND S. A. ORSZAG, Numerical analysis of spectral methods: theory and applications, in CBMS-NSF Regional Conference Series in Applied Mathematics, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1977.
    • (1977) CBMS-NSF Regional Conference Series in Applied Mathematics
    • Gottlieb, D.1    Orszag, S.A.2
  • 8
    • 38249001500 scopus 로고
    • Domain decomposition methods for solving parabolic PDEs on multiprocessors
    • M. ISRAELI, L. VOZOVOI, AND A. AVERBUCH, Domain decomposition methods for solving parabolic PDEs on multiprocessors, Appl. Numer. Math., 12 (1993), pp. 193-212.
    • (1993) Appl. Numer. Math. , vol.12 , pp. 193-212
    • Israeli, M.1    Vozovoi, L.2    Averbuch, A.3
  • 9
    • 1542534411 scopus 로고
    • Spectral multi-domain technique with local Fourier basis
    • _, Spectral multi-domain technique with local Fourier basis, Appl. Numer. Math., 12 (1993), pp. 193-212.
    • (1993) Appl. Numer. Math. , vol.12 , pp. 193-212
  • 10
    • 0027614637 scopus 로고
    • Parallelizing implicit algorithms for time-dependent problems by parabolic domain decomposition
    • _, Parallelizing implicit algorithms for time-dependent problems by parabolic domain decomposition, J. Sci. Comput., 8 (1993), pp. 197-212.
    • (1993) J. Sci. Comput. , vol.8 , pp. 197-212
  • 12
    • 1542639311 scopus 로고
    • A pseudo-spectral FFT technique for non-periodic problems
    • P. J. ROACHE, A pseudo-spectral FFT technique for non-periodic problems, J. Comput. Phys., 27 (1978), pp. 204-220.
    • (1978) J. Comput. Phys. , vol.27 , pp. 204-220
    • Roache, P.J.1
  • 13
    • 84966233044 scopus 로고
    • A Fourier method for numerical solution of Poisson's equation
    • G. SKÖLERMO, A Fourier method for numerical solution of Poisson's equation, Math. Comp., 29 (1975), pp. 697-711.
    • (1975) Math. Comp. , vol.29 , pp. 697-711
    • Skölermo, G.1
  • 14
    • 0000626401 scopus 로고    scopus 로고
    • Spectrally accurate solution of non-periodic differential equations by the Fourier-Gegenbauer method
    • to appear
    • L. VOZOVOI, A. WEILL, AND M. ISRAELI, Spectrally accurate solution of non-periodic differential equations by the Fourier-Gegenbauer method, SIAM J. Numer. Anal., 34 (1997), to appear.
    • (1997) SIAM J. Numer. Anal. , vol.34
    • Vozovoi, L.1    Weill, A.2    Israeli, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.