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Volumn 7, Issue 1, 2000, Pages 27-45

Efficient computation of the exponential operator for large, sparse, symmetric matrices

Author keywords

Chebyshev series; Exponential operator; Krylov subspace; Parabolic PDE

Indexed keywords


EID: 0034382829     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1506(200001/02)7:1<27::AID-NLA185>3.0.CO;2-4     Document Type: Article
Times cited : (55)

References (20)
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    • Hochbruck, M.1    Lubich, C.2
  • 4
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    • Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetics
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    • (1995) Numerical Linear Algebra with Applications , vol.2 , pp. 205-217
    • Druskin, V.L.1    Knizhnerman, L.A.2
  • 6
    • 0026818185 scopus 로고
    • Analysis of some Krylov subspace approximations to the matrix exponential operator
    • Saad Y. Analysis of some Krylov subspace approximations to the matrix exponential operator. SIAM Journal on Numerical Analysis, 1992;29(1):209-228.
    • (1992) SIAM Journal on Numerical Analysis , vol.29 , Issue.1 , pp. 209-228
    • Saad, Y.1
  • 7
    • 0001942937 scopus 로고
    • Spectral methods in time for parabolic problems
    • Tal-Ezer H. Spectral methods in time for parabolic problems. SIAM Journal on Numerical Analysis, 1989;26:1-11.
    • (1989) SIAM Journal on Numerical Analysis , vol.26 , pp. 1-11
    • Tal-Ezer, H.1
  • 10
    • 0031494214 scopus 로고    scopus 로고
    • Asymptotic convergence of conjugate gradient methods for the partial symmetric eigenproblem
    • 1997
    • Bergamaschi L, Gambolati G, Pini G. Asymptotic convergence of conjugate gradient methods for the partial symmetric eigenproblem. Numerical Linear Algebra with Applications, 1997;4(2):69-84, 1997.
    • (1997) Numerical Linear Algebra with Applications , vol.4 , Issue.2 , pp. 69-84
    • Bergamaschi, L.1    Gambolati, G.2    Pini, G.3
  • 14
    • 0032010619 scopus 로고    scopus 로고
    • EXPOKIT: Software package for computing matrix exponentials
    • Sidje RB. EXPOKIT: Software package for computing matrix exponentials. ACM Transactions on Mathematical Software, 1998;24:130-156.
    • (1998) ACM Transactions on Mathematical Software , vol.24 , pp. 130-156
    • Sidje, R.B.1
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    • 0033587522 scopus 로고    scopus 로고
    • Mixed finite elements and Newton-like linearization for the solution of Richard's equation
    • Bergamaschi L, Putti M. Mixed finite elements and Newton-like linearization for the solution of Richard's equation. International Journal of Numerical Methods in Engineering, 1999;45(8):1025-1046.
    • (1999) International Journal of Numerical Methods in Engineering , vol.45 , Issue.8 , pp. 1025-1046
    • Bergamaschi, L.1    Putti, M.2
  • 20
    • 0028666563 scopus 로고
    • A comparison of Picard and Newton iteration in the numerical solution of multidimensional variably saturated flow problems
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    • Paniconi, C.1    Putti, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.