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Volumn 192, Issue 1, 2006, Pages 100-113

Exponential fitting BDF algorithms: Explicit and implicit 0-stable methods

Author keywords

BDF methods; Exponential fitting; Stiff problems

Indexed keywords

DIFFERENTIAL EQUATIONS; ERROR ANALYSIS; NUMERICAL METHODS; PARAMETER ESTIMATION; PROBLEM SOLVING;

EID: 33646085541     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.04.044     Document Type: Article
Times cited : (43)

References (13)
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    • (1985) Stiff Computation
    • Aiken, R.C.1
  • 2
    • 0020910120 scopus 로고
    • The integration of stiff initial value problems in ODE's using modified extended backward differentiation formulae
    • Cash J.R. The integration of stiff initial value problems in ODE's using modified extended backward differentiation formulae. Comput. Math. Appl. 9 (1983) 645-657
    • (1983) Comput. Math. Appl. , vol.9 , pp. 645-657
    • Cash, J.R.1
  • 4
    • 1042300914 scopus 로고    scopus 로고
    • Explicit time-stepping for stiff ODE's
    • Eriksson K., Johnson C., and Logg A. Explicit time-stepping for stiff ODE's. SIAM J. Sci. Comput. 25 4 (2003) 1142-1157
    • (2003) SIAM J. Sci. Comput. , vol.25 , Issue.4 , pp. 1142-1157
    • Eriksson, K.1    Johnson, C.2    Logg, A.3
  • 7
    • 0036502977 scopus 로고    scopus 로고
    • Frequency evaluation in exponential fitting multistep algorithms for ODEs
    • Ixaru L.Gr., Vanden Berghe G., and De Meyer H. Frequency evaluation in exponential fitting multistep algorithms for ODEs. J. Comput. Appl. Math. 140 (2002) 423-434
    • (2002) J. Comput. Appl. Math. , vol.140 , pp. 423-434
    • Ixaru, L.Gr.1    Vanden Berghe, G.2    De Meyer, H.3
  • 9
    • 77958409581 scopus 로고
    • Symmetric multistep methods for periodic initial value problems
    • Lambert J.D., and Watson I.A. Symmetric multistep methods for periodic initial value problems. J. Inst. Math. Appl. 18 (1976) 189-202
    • (1976) J. Inst. Math. Appl. , vol.18 , pp. 189-202
    • Lambert, J.D.1    Watson, I.A.2
  • 10
    • 33646100491 scopus 로고    scopus 로고
    • W. Liniger, R.A. Willoughby, Efficient numerical integration of ordinary differential equations, Research Reports RC 1970, IBM, Yorktown Heights, NY, 1967.
  • 12
    • 33645269140 scopus 로고
    • Stabilization of Cowell's method
    • Stiefel E., and Bettis D.G. Stabilization of Cowell's method. Numer. Math. 13 (1969) 154-175
    • (1969) Numer. Math. , vol.13 , pp. 154-175
    • Stiefel, E.1    Bettis, D.G.2
  • 13
    • 11044222001 scopus 로고    scopus 로고
    • J. Vigo-Aguiar, J. Martín-Vaquero, R. Criado, On the stability of exponential fitting BDF algorithms, J. Comput. Appl. Math. 175 (2005) 183-194.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.