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Volumn 33, Issue 1, 1996, Pages 280-290

On the gibbs phenomenon III: Recovering exponential accuracy in a sub-interval from a spectral partial sum of a piecewise analytic function

Author keywords

Exponential accuracy; Fourier series; Gegenbauer polynomials; Gibbs phenomenon; Legendre series

Indexed keywords


EID: 0001338069     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/0733015     Document Type: Article
Times cited : (59)

References (11)
  • 5
    • 0002201787 scopus 로고
    • On the Gibbs Phenomenon I: Recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function
    • D. GOTTLIEB, C.-W. SHU, A. SOLOMONOFF, AND H. VANDEVEN, On The Gibbs Phenomenon I: Recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function, J. Comput. Appl. Math., 43 (1992), pp. 81-92.
    • (1992) J. Comput. Appl. Math. , vol.43 , pp. 81-92
    • Gottlieb, D.1    Shu, C.-W.2    Solomonoff, A.3    Vandeven, H.4
  • 6
    • 0028446136 scopus 로고
    • Resolution properties of the Fourier method for discontinuous waves
    • D. GOTTLIEB AND C.-W. SHU, Resolution properties of the Fourier method for discontinuous waves, Comput. Methods Appl. Mech. Engrg., 116 (1994), pp. 27-37.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.116 , pp. 27-37
    • Gottlieb, D.1    Shu, C.-W.2
  • 8
    • 84968465950 scopus 로고
    • On the Gibbs phenomenon IV: Recovering exponential accuracy in a sub-interval from a Gegenbauer partial sum of a piecewise analytic function
    • _, On the Gibbs phenomenon IV: Recovering exponential accuracy in a sub-interval from a Gegenbauer partial sum of a piecewise analytic function. Math. Comp., 64 (1995), pp. 1081-1095.
    • (1995) Math. Comp. , vol.64 , pp. 1081-1095
  • 11
    • 1542746192 scopus 로고
    • Private communication
    • H. VANDEVEN, Private communication, 1993.
    • (1993)
    • Vandeven, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.