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Volumn 33, Issue 6, 1996, Pages 2131-2165

Analysis of preconditioners for hyperbolic partial differential equations

Author keywords

Convergence; Finite difference discretization; Fourier analysis; Hyperbolic PDE; Preconditioners; Spectral analysis

Indexed keywords


EID: 0001580455     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142994264894     Document Type: Article
Times cited : (20)

References (22)
  • 1
    • 0024281733 scopus 로고
    • A restarted version of a generalized preconditioned conjugate gradient method
    • O. AXELSSON, A restarted version of a generalized preconditioned conjugate gradient method, Comm. Appl. Numer. Methods, 4 (1988), pp. 521-530.
    • (1988) Comm. Appl. Numer. Methods , vol.4 , pp. 521-530
    • Axelsson, O.1
  • 2
    • 0026222570 scopus 로고
    • The fractional Fourier transform and applications
    • D. H. BAILEY AND P. N. SWARZTRAUBER, The fractional Fourier transform and applications, SIAM Rev., 33 (1991), pp. 389-404.
    • (1991) SIAM Rev. , vol.33 , pp. 389-404
    • Bailey, D.H.1    Swarztrauber, P.N.2
  • 3
    • 0001403957 scopus 로고
    • Circulant preconditioners for Hermitian Toeplitz systems
    • R. H. CHAN, Circulant preconditioners for Hermitian Toeplitz systems, SIAM J. Matrix Anal. Appl., 10 (1989), pp. 542-550.
    • (1989) SIAM J. Matrix Anal. Appl. , vol.10 , pp. 542-550
    • Chan, R.H.1
  • 4
    • 0041600220 scopus 로고
    • Circulant and skew-circulant preconditioners for skew-Hermitian type Toeplitz systems
    • R. H. CHAN AND X.-Q. JIN, Circulant and skew-circulant preconditioners for skew-Hermitian type Toeplitz systems, BIT, 31 (1991), pp. 632-646.
    • (1991) BIT , vol.31 , pp. 632-646
    • Chan, R.H.1    Jin, X.-Q.2
  • 5
    • 0001646777 scopus 로고
    • Toeplitz equations by conjugate gradients with circulant preconditioner
    • R. H. CHAN AND G. STRANG, Toeplitz equations by conjugate gradients with circulant preconditioner, SIAM J. Sci. Statist. Comput., 10 (1989), pp. 104-119.
    • (1989) SIAM J. Sci. Statist. Comput. , vol.10 , pp. 104-119
    • Chan, R.H.1    Strang, G.2
  • 6
    • 0000853646 scopus 로고
    • An optimal circulant preconditioner for Toeplitz systems
    • T. F. CHAN, An optimal circulant preconditioner for Toeplitz systems, SIAM J. Sci. Statist. Comput., 9 (1988), pp. 766-771.
    • (1988) SIAM J. Sci. Statist. Comput. , vol.9 , pp. 766-771
    • Chan, T.F.1
  • 7
    • 0024631284 scopus 로고
    • Fourier analysis of iterative methods for elliptic problems
    • T. F. CHAN AND H. C. ELMAN, Fourier analysis of iterative methods for elliptic problems, SIAM Rev., 31 (1989), pp. 20-49.
    • (1989) SIAM Rev. , vol.31 , pp. 20-49
    • Chan, T.F.1    Elman, H.C.2
  • 9
    • 0000762041 scopus 로고
    • An approximate factorization procedure for solving self-adjoint elliptic difference equations
    • T. DUPONT, R. P. KENDALL, AND H. H. RACHFORD, An approximate factorization procedure for solving self-adjoint elliptic difference equations, SIAM J. Numer. Anal., 5 (1968), pp. 559-573.
    • (1968) SIAM J. Numer. Anal. , vol.5 , pp. 559-573
    • Dupont, T.1    Kendall, R.P.2    Rachford, H.H.3
  • 10
    • 84966211825 scopus 로고
    • A stability analysis of incomplete LU factorizations
    • H. C. ELMAN, A stability analysis of incomplete LU factorizations, Math. Comp., 47 (1986), pp. 191-217.
    • (1986) Math. Comp. , vol.47 , pp. 191-217
    • Elman, H.C.1
  • 12
    • 0022766454 scopus 로고
    • A semi-implicit method for hyperbolic problems with different time-scales
    • J. GUERRA AND B. GUSTAFSSON, A semi-implicit method for hyperbolic problems with different time-scales, SIAM J. Numer. Anal., 23 (1986), pp. 734-749.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 734-749
    • Guerra, J.1    Gustafsson, B.2
  • 13
    • 0026386229 scopus 로고
    • Navier-Stokes equations for almost incompressible flow
    • B. GUSTAFSSON AND H. STOOR, Navier-Stokes equations for almost incompressible flow, SIAM J. Numer. Anal., 28 (1991), pp. 1523-1547.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1523-1547
    • Gustafsson, B.1    Stoor, H.2
  • 15
    • 0000767461 scopus 로고
    • Iterative solution methods and preconditioners for block-tridiagonal systems of equations
    • _, Iterative solution methods and preconditioners for block-tridiagonal systems of equations, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 863-886.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 863-886
  • 16
    • 0000572470 scopus 로고
    • Semicirculant preconditioners for first-order partial differential equations
    • _, Semicirculant preconditioners for first-order partial differential equations, SIAM J. Sci. Comput., 15 (1994), pp. 385-407.
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 385-407
  • 17
    • 84966225158 scopus 로고
    • An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix
    • J. A. MEIJERINK AND H. A. VAN DER VORST, An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix, Math. Comp., 31 (1977), pp. 148-162.
    • (1977) Math. Comp. , vol.31 , pp. 148-162
    • Meijerink, J.A.1    Van Der Vorst, H.A.2
  • 18
    • 85033755521 scopus 로고
    • private communication
    • F. NORSTAD, private communication, 1991.
    • (1991)
    • Norstad, F.1
  • 19
    • 84966222159 scopus 로고
    • Krylov subspace methods for solving large unsymmetric linear systems
    • Y. SAAD, Krylov subspace methods for solving large unsymmetric linear systems, Math. Comp., 37 (1981), pp. 105-126.
    • (1981) Math. Comp. , vol.37 , pp. 105-126
    • Saad, Y.1
  • 20
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving non-symmetric linear systems
    • Y. SAAD AND M. H. SCHULTZ, GMRES: A generalized minimal residual algorithm for solving non-symmetric linear systems, SIAM J. Sci. Statist. Comput., 7 (1986), pp. 856-869.
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 21
    • 0000415943 scopus 로고
    • Optimal and superoptimal circulant preconditioners
    • E. E. TYRTYSHNIKOV, Optimal and superoptimal circulant preconditioners, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 459-473.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 459-473
    • Tyrtyshnikov, E.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.