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Volumn 203, Issue 2, 2005, Pages 449-466

Stability of operator splitting methods for systems with indefinite operators: Reaction-diffusion systems

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION IN LIQUIDS; LINEAR EQUATIONS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 13644275090     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.09.004     Document Type: Article
Times cited : (38)

References (16)
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    • Cohen, S.D.1    Hindmarsh, A.C.2
  • 3
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    • Linearly implicit splitting methods for higher space-dimensional parabolic differential equations
    • C. Eichler-Liebenow N.H. Cong R. Weiner K. Strehmel Linearly implicit splitting methods for higher space-dimensional parabolic differential equations Appl. Numer. Math. 28 1998 259-274
    • (1998) Appl. Numer. Math. , vol.28 , pp. 259-274
    • Eichler-Liebenow, C.1    Cong, N.H.2    Weiner, R.3    Strehmel, K.4
  • 6
    • 84968521922 scopus 로고
    • Stability and convergence of the Peaceman-Rachford ADI method for initial-boundary value problems
    • Hundsdorfer W.H. J.G. Verwer Stability and convergence of the Peaceman-Rachford ADI method for initial-boundary value problems Math. Comp. 53 187 1989 81-101
    • (1989) Math. Comp. , vol.53 , Issue.187 , pp. 81-101
    • Hundsdorfer, W.H.1    Verwer, J.G.2
  • 7
    • 0001970309 scopus 로고
    • Contractivity results for alternating direction schemes in Hilbert spaces
    • J.C. Jorge F. Lisbona Contractivity results for alternating direction schemes in Hilbert spaces Appl. Numer. Math. 15 1994 65-75
    • (1994) Appl. Numer. Math. , vol.15 , pp. 65-75
    • Jorge, J.C.1    Lisbona, F.2
  • 10
    • 1442332730 scopus 로고    scopus 로고
    • Studies on the accuracy of time-integration schemes for the radiation-diffusion equations
    • C.C. Ober J.N. Shadid Studies on the accuracy of time-integration schemes for the radiation-diffusion equations J. Comput. Phys. 195 2 2004 743-772
    • (2004) J. Comput. Phys. , vol.195 , Issue.2 , pp. 743-772
    • Ober, C.C.1    Shadid, J.N.2
  • 12
    • 36849102494 scopus 로고
    • Symmetry breaking instabilities in dissipative systems, II
    • I. Prigogine R. Lefever Symmetry breaking instabilities in dissipative systems, II J. Chem. Phys. 48 4 1968 1695-1700
    • (1968) J. Chem. Phys. , vol.48 , Issue.4 , pp. 1695-1700
    • Prigogine, I.1    Lefever, R.2
  • 13
    • 1442282996 scopus 로고    scopus 로고
    • Studies of the accuracy of time integration methods for reaction-diffusion equations
    • D.L. Ropp J.N. Shadid C.C. Ober Studies of the accuracy of time integration methods for reaction-diffusion equations J. Comput. Phys. 194 2 2004 544-574
    • (2004) J. Comput. Phys. , vol.194 , Issue.2 , pp. 544-574
    • Ropp, D.L.1    Shadid, J.N.2    Ober, C.C.3
  • 14
    • 0001518684 scopus 로고
    • On the construction and comparison of difference schemes
    • G. Strang On the construction and comparison of difference schemes SIAM J. Numer. Anal. 5 3 1968 506-517
    • (1968) SIAM J. Numer. Anal. , vol.5 , Issue.3 , pp. 506-517
    • Strang, G.1
  • 15
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    • Fractional step methods applied to a chemotaxis model
    • R. Tyson L.G. Stern R.J. LeVeque Fractional step methods applied to a chemotaxis model J. Math. Biol. 41 2000 455-475
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    • Tyson, R.1    Stern, L.G.2    LeVeque, R.J.3
  • 16


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.