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Volumn 11, Issue 1, 1999, Pages 37-56

On the numerical solution of linear evolution problems with an integral operator coefficient

Author keywords

Cayley transform; Circulant matrix; Collocation methods; Explicit representation; Fast fourier transform; Spectral property; Toeplitz matrix

Indexed keywords


EID: 0004553178     PISSN: 08973962     EISSN: None     Source Type: Journal    
DOI: 10.1216/jiea/1181074261     Document Type: Article
Times cited : (6)

References (22)
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    • Arow, D.Z.1    Gawrilyuk, I.P.2    Makarov, V.L.3
  • 2
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    • Some convergence estimates for semi-discrete Galerkin type approximations for parabolic equations
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  • 5
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    • Friedman, A.1    Shinbrot, M.2
  • 6
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    • (P.G. Ciarlet and J.L. Lions, eds.), Elsevier Science Publishers B.V., North-Holland
    • H. Fujita and T. Suzuki, Evolution problems, in Handbook of numerical analysis, Vol. II (P.G. Ciarlet and J.L. Lions, eds.), Elsevier Science Publishers B.V., North-Holland, 1991, 789-928.
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    • Fujita, H.1    Suzuki, T.2
  • 7
    • 2142789368 scopus 로고
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    • Garipov, R.M.1
  • 8
    • 0042113929 scopus 로고
    • The Cayley transform and the solution of an initial value problem for a first order differential equation with an unbounded operator coefficient in Hilbert space
    • I.P. Gavrilyuk and V.L. Makarov, The Cayley transform and the solution of an initial value problem for a first order differential equation with an unbounded operator coefficient in Hilbert space, Numer. Funct. Anal. Optim. 15 (1994), 583 598.
    • (1994) Numer. Funct. Anal. Optim. , vol.15 , pp. 583-598
    • Gavrilyuk, I.P.1    Makarov, V.L.2
  • 9
    • 21344446470 scopus 로고    scopus 로고
    • Representation and approximation of the solution of an initial value problem for a first order differential equation in Banach space
    • I.P. Gavrilyuk and V.L. Makarov, Representation and approximation of the solution of an initial value problem for a first order differential equation in Banach space, Z. Anal. Anwendungen 15 (1996), 495 527.
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  • 12
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    • On the numerical solution of a hypersingular integral equation in scattering theory
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    • On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.