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Volumn 22, Issue 3, 2001, Pages 767-786

A circulant preconditioner for the systems of LMF-based ode codes

Author keywords

Boundary value methods; Circulant preconditioning; Implicit linear multistep formulas; Numerical solution of differential equations; Unsymmetric block (almost) Toeplitz linear systems

Indexed keywords

APPROXIMATION THEORY; CODES (SYMBOLS); INITIAL VALUE PROBLEMS; INTEGRATION; ITERATIVE METHODS; LINEAR SYSTEMS; MATRIX ALGEBRA;

EID: 0034975734     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827599353476     Document Type: Article
Times cited : (47)

References (25)
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    • Chan, R.H.1
  • 9
    • 0442309339 scopus 로고    scopus 로고
    • Circulant preconditioners for solving ordinary differential equations
    • in Structured Matrices, D. Bini, E. Tyrtyshnikov, and P. Yalamov, eds., Nova Science, to appear
    • Chan, R.H.1    Ng, M.K.2    Jin, X.3
  • 10
    • 0004175163 scopus 로고
    • Circulant Matrices
    • John Wiley, New York
    • (1979)
    • Davis, P.J.1
  • 13
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    • Solving ordinary differential equations II. Stiff and differential-algebraic problems
    • Springer-Verlag, Berlin, Heidelberg
    • (1991)
    • Hairer, E.1    Wanner, G.2
  • 14
    • 0001156780 scopus 로고    scopus 로고
    • A framework for polynomial preconditioners based on fast transforms I: Theory
    • (1998) BIT , vol.38 , pp. 544-559
    • Holmgreen, S.1    Otto, K.2
  • 18
    • 0003491524 scopus 로고
    • Numerical methods for ordinary differential systems
    • John Wiley, Chichester
    • (1991)
    • Lambert, J.D.1
  • 21
    • 0033480798 scopus 로고    scopus 로고
    • The rate of convergence of Toeplitz based PCG methods for second order nonlinear boundary value problems
    • (1999) Numer. Math. , vol.81 , pp. 461-495
    • Serra, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.