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Volumn 45, Issue 1, 2005, Pages 197-217

Multi-implicit peer two-step W-methods for parallel time integration

Author keywords

Parallel methods for stiff initial value problems; Peer W methods

Indexed keywords


EID: 33644587233     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10543-005-2635-y     Document Type: Article
Times cited : (41)

References (16)
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  • 2
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  • 3
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    • General linear methods for stiff differential equations
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    • Butcher, J.C.1
  • 4
    • 0002961497 scopus 로고
    • Pragmatic experiments with Krylov methods in the stiff ODE setting
    • Clarendon Press, Oxford
    • G. D. Byrne, Pragmatic experiments with Krylov methods in the stiff ODE setting, in Computational Ordinary Differential Equations, Clarendon Press, Oxford, 1992, pp. 323-356.
    • (1992) Computational Ordinary Differential Equations , pp. 323-356
    • Byrne, G.D.1
  • 6
    • 0035529774 scopus 로고    scopus 로고
    • Parallel iteration of the extended backward differentiation formulas
    • J. L. Frank and P. J. van der Houwen, Parallel iteration of the extended backward differentiation formulas, IMA J. Numer. Anal., 21 (2001), pp. 367-385.
    • (2001) IMA J. Numer. Anal. , vol.21 , pp. 367-385
    • Frank, J.L.1    Van Der Houwen, P.J.2
  • 7
    • 0000835513 scopus 로고
    • Lower bounds for the condition number of Vandermonde matrices
    • W. Gautschi and G. Inglese, Lower bounds for the condition number of Vandermonde matrices, Numer. Math., 52 (1988), pp. 241-250.
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    • Gautschi, W.1    Inglese, G.2
  • 8
    • 6344271704 scopus 로고    scopus 로고
    • Numerical solution of time-dependent advection-diffusion-reaction equations
    • Springer, Berlin
    • W. Hundsdorfer and J. G. Verwer, Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations, Springer Series in Computational Mathematics 33, Springer, Berlin, 2003.
    • (2003) Springer Series in Computational Mathematics , vol.33
    • Hundsdorfer, W.1    Verwer, J.G.2
  • 10
    • 20144363582 scopus 로고    scopus 로고
    • Parallel two-step W-methods with Peer variables
    • B. A. Schmitt and R. Weiner, Parallel two-step W-methods with Peer variables, SIAM J. Numer. Anal., 42 (2004), pp. 265-282.
    • (2004) SIAM J. Numer. Anal. , vol.42 , pp. 265-282
    • Schmitt, B.A.1    Weiner, R.2
  • 11
    • 14844292631 scopus 로고    scopus 로고
    • Implicit parallel peer methods for stiff initial value problems
    • to appear in
    • B. A. Schmitt, R. Weiner, and K. Erdmann, Implicit parallel peer methods for stiff initial value problems, to appear in Appl. Numer. Math.
    • Appl. Numer. Math.
    • Schmitt, B.A.1    Weiner, R.2    Erdmann, K.3
  • 13
    • 14844324935 scopus 로고    scopus 로고
    • Parallel two-step W-methods on singular perturbation problems
    • R. Weiner, B. A. Schmitt, and H. Podhaisky, Parallel two-step W-methods on singular perturbation problems, in SLNCS 2328, 2002, pp. 778-785.
    • (2002) SLNCS , vol.2328 , pp. 778-785
    • Weiner, R.1    Schmitt, B.A.2    Podhaisky, H.3
  • 14
    • 1042269651 scopus 로고    scopus 로고
    • Parallel 'Peer' two-step W-methods and their application to MOL systems
    • R. Weiner, B. A. Schmitt, and H. Podhaisky, Parallel 'Peer' two-step W-methods and their application to MOL systems, Appl. Numer. Math., 48 (2004), pp. 425-439.
    • (2004) Appl. Numer. Math. , vol.48 , pp. 425-439
    • Weiner, R.1    Schmitt, B.A.2    Podhaisky, H.3
  • 15
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    • (1997) Appl. Numer. Math. , vol.25 , pp. 303-319
    • Weiner, R.1    Schmitt, B.A.2    Podhaisky, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.