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Volumn 24, Issue 2-3, 1997, Pages 365-378

A Krylov projection method for systems of ODEs

Author keywords

Initial value problems; Krylov subspace methods; Ordinary differential equations

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; PROBLEM SOLVING;

EID: 0031209066     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(97)00033-0     Document Type: Article
Times cited : (48)

References (9)
  • 1
    • 0040725332 scopus 로고
    • A comparison of Krylov subspace methods for systems of ODEs
    • Dipartimento di Scienze Matematiche Universitá degli Studi di Trieste
    • E. Celledoni, A comparison of Krylov subspace methods for systems of ODEs, Quad. Mat. No. 317, Dipartimento di Scienze Matematiche Universitá degli Studi di Trieste (1994).
    • (1994) Quad. Mat. No. 317 , vol.317
    • Celledoni, E.1
  • 2
    • 0000269389 scopus 로고
    • Efficient solution of parabolic equations by Krylov approximation methods
    • E. Gallopoulos and Y. Saad, Efficient solution of parabolic equations by Krylov approximation methods, SIAM J. Sci. Statist. Comput. 13 (1992) 1236-1264.
    • (1992) SIAM J. Sci. Statist. Comput. , vol.13 , pp. 1236-1264
    • Gallopoulos, E.1    Saad, Y.2
  • 3
    • 0347799731 scopus 로고    scopus 로고
    • On Krylov subspace approximation to the matrix exponential operator
    • submitted
    • M. Hochbruck and C. Lubich, On Krylov subspace approximation to the matrix exponential operator, SIAM J. Numer. Anal., submitted.
    • SIAM J. Numer. Anal.
    • Hochbruck, M.1    Lubich, C.2
  • 5
    • 0039539860 scopus 로고
    • Accelerating waveform relaxation methods with applications to parallel semiconductor device simulation
    • A. Lumsdaine and J.K. White, Accelerating waveform relaxation methods with applications to parallel semiconductor device simulation, Numer. Funct. Anal. Optim. 16 (1995) 395-414.
    • (1995) Numer. Funct. Anal. Optim. , vol.16 , pp. 395-414
    • Lumsdaine, A.1    White, J.K.2
  • 6
    • 84968476141 scopus 로고
    • Global convergence of the basic QR algorithm on Hessenberg matrices
    • B.N. Parlett, Global convergence of the basic QR algorithm on Hessenberg matrices, Math. Comp. 22 (1968) 803-817.
    • (1968) Math. Comp. , vol.22 , pp. 803-817
    • Parlett, B.N.1
  • 8
    • 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) 105-126.
    • (1981) Math. Comp. , vol.37 , pp. 105-126
    • Saad, Y.1
  • 9
    • 0026818185 scopus 로고
    • Analysis of some Krylov subspace approximations to the matrix exponential operator
    • Y. Saad, Analysis of some Krylov subspace approximations to the matrix exponential operator, SIAM J. Numer. Anal. 29 (1992) 209-228.
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 209-228
    • Saad, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.