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Volumn 34, Issue 3, 1997, Pages 939-958

Preconditioning Chebyshev Spectral Collocation by Finite-difference Operators

Author keywords

Chebyshev spectral collocation

Indexed keywords


EID: 0008515049     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142995285034     Document Type: Article
Times cited : (35)

References (10)
  • 3
    • 0001194652 scopus 로고
    • Chebyshev pseudospectral solution of second-order elliptic equations with finite element preconditioning
    • [DM1]
    • [DM1] M. O. DEVILLE AND E. H. MUND, Chebyshev pseudospectral solution of second-order elliptic equations with finite element preconditioning, J. Comput. Phys., 60 (1985), pp. 517-533.
    • (1985) J. Comput. Phys. , vol.60 , pp. 517-533
    • Deville, M.O.1    Mund, E.H.2
  • 4
    • 0000464822 scopus 로고
    • Finite element preconditioning for pseudospectral solutions of elliptic problems
    • [DM2]
    • [DM2] M. O. DEVILLE AND E. H. MUND, Finite element preconditioning for pseudospectral solutions of elliptic problems, SIAM J. Sci. Statist. Comput., 11 (1990), pp. 311-342.
    • (1990) SIAM J. Sci. Statist. Comput. , vol.11 , pp. 311-342
    • Deville, M.O.1    Mund, E.H.2
  • 5
    • 0003604735 scopus 로고
    • Polynomial approximation of differential equations
    • [F] Springer-Verlag, Berlin, New York
    • [F] D. FUNARO, Polynomial approximation of differential equations, Lecture Notes in Phys., Springer-Verlag, Berlin, New York, 1992.
    • (1992) Lecture Notes in Phys.
    • Funaro, D.1
  • 6
    • 0003229172 scopus 로고
    • Numerical Analysis of Spectral Methods: Theory and Applications
    • [GO] SIAM, Philadelphia
    • [GO] D. GOTTLIEB AND S. A. ORSZAG, Numerical Analysis of Spectral Methods: Theory and Applications, SIAM, Philadelphia, 1977.
    • (1977) SIAM
    • Gottlieb, D.1    Orszag, S.A.2
  • 7
    • 0043054758 scopus 로고
    • Chebyshev 3-D and 2-D pseudospectral solvers for the Helmholtz equation
    • [HLAD]
    • [HLAD] P. HALDENWANG, G. LABROSSE, S. ABBOUDI, AND M. DEVILLE, Chebyshev 3-D and 2-D pseudospectral solvers for the Helmholtz equation, J. Comput. Phys., 55 (1984), pp. 115-128.
    • (1984) J. Comput. Phys. , vol.55 , pp. 115-128
    • Haldenwang, P.1    Labrosse, G.2    Abboudi, S.3    Deville, M.4
  • 8
    • 0008482859 scopus 로고    scopus 로고
    • Preconditioning Chebyshev spectral collocation method for elliptic partial differential equations
    • [KP]
    • [KP] S. D. KIM AND S. V. PARTER, Preconditioning Chebyshev spectral collocation method for elliptic partial differential equations, SIAM J. Numer. Anal., 33 (1996), pp. 2375-2400.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 2375-2400
    • Kim, S.D.1    Parter, S.V.2
  • 9
    • 0025447701 scopus 로고
    • Preconditioning and boundary conditions
    • [MP]
    • [MP] T. A. MANTEUFFEL AND SEYMOUR V. PARTER, Preconditioning and boundary conditions, SIAM J. Numer. Anal., 27 (1990), pp. 656-694.
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 656-694
    • Manteuffel, T.A.1    Parter, S.V.2
  • 10
    • 85013126603 scopus 로고
    • Spectral methods for problems in complex geometries
    • [Or]
    • [Or] S. A. ORSZAG, Spectral methods for problems in complex geometries, J. Comput. Phys., 37 (1980), pp. 70-92.
    • (1980) J. Comput. Phys. , vol.37 , pp. 70-92
    • Orszag, S.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.