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Volumn 84, Issue 6, 2007, Pages 895-923

Stability analysis of the BDF Slowest-first multirate methods

Author keywords

Backward difference formula; Differential algebraic equations; Multirate time integration; Stability analysis; Transient analysis

Indexed keywords

ALGEBRA; ASYMPTOTIC ANALYSIS; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; STABILITY;

EID: 34547506874     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160701458641     Document Type: Article
Times cited : (12)

References (18)
  • 2
    • 2142649144 scopus 로고    scopus 로고
    • A multirate W-method for electrical networks in state-space formulation
    • Bartel, A. and Günther, M., 2002, A multirate W-method for electrical networks in state-space formulation. Journal of Computational and Applied Mathematics, 147, 411-425.
    • (2002) Journal of Computational and Applied Mathematics , vol.147 , pp. 411-425
    • Bartel, A.1    Günther, M.2
  • 3
    • 0021554296 scopus 로고
    • Multirate linear multistep methods
    • Gear, C.W. and Wells, D.R., 1984, Multirate linear multistep methods. BIT, 24, 484-502.
    • (1984) BIT , vol.24 , pp. 484-502
    • Gear, C.W.1    Wells, D.R.2
  • 4
    • 34547538149 scopus 로고    scopus 로고
    • G'omez, G.R., 2002, Absolute stability analysis of semi-implicit multirate linear multistep methods. PhD thesis, Instituto Nacional de Astrofisica, Optica y Electronica, Tonantzintla, Pue, Mexico.
    • G'omez, G.R., 2002, Absolute stability analysis of semi-implicit multirate linear multistep methods. PhD thesis, Instituto Nacional de Astrofisica, Optica y Electronica, Tonantzintla, Pue, Mexico.
  • 5
    • 34547497113 scopus 로고    scopus 로고
    • Aspects of multirate time integration methods in circuit simulation problems
    • A. Di Bucchianico, R.M.M. Mattheij and M.A. Peletier Eds, Berlin: Springer-Verlag, pp
    • El Guennouni, A., Verhoeven, A., ter Maten, E.J. W. and Beelen, T.G.J., 2006, Aspects of multirate time integration methods in circuit simulation problems. In: A. Di Bucchianico, R.M.M. Mattheij and M.A. Peletier (Eds) Progress in Industrial Mathematics at ECMI 2004 (Berlin: Springer-Verlag), pp. 579-584.
    • (2006) Progress in Industrial Mathematics at ECMI 2004 , pp. 579-584
    • El Guennouni, A.1    Verhoeven, A.2    ter Maten, E.J.W.3    Beelen, T.G.J.4
  • 8
    • 34547553675 scopus 로고    scopus 로고
    • Error analysis of BDF Compound-Fast multirate method for differential-algebraic equations. Extended Abstract, Copper Mountain
    • 06-10
    • Verhoeven, A., Beelen, T.G.J., El Guennouni, A., ter Maten, E.J.W., Mattheij, R.M.M. and Tasić, B., 2006, Error analysis of BDF Compound-Fast multirate method for differential-algebraic equations. Extended Abstract, Copper Mountain, CASA-Report 06-10.
    • (2006) CASA-Report
    • Verhoeven, A.1    Beelen, T.G.J.2    El Guennouni, A.3    ter Maten, E.J.W.4    Mattheij, R.M.M.5    Tasić, B.6
  • 9
    • 34547521490 scopus 로고    scopus 로고
    • A general compound multirate method for circuit simulation problems
    • A.M. Anile, G. Ali and G. Mascali (Eds) Scientific Computing in Electrical Engineering, Berlin: Springer-Verlag, pp
    • Verhoeven, A., El Guennouni, A., ter Maten, E.J.W. and Mattheij, R.M.M., 2006, A general compound multirate method for circuit simulation problems. In: A.M. Anile, G. Ali and G. Mascali (Eds) Scientific Computing in Electrical Engineering, Mathematics in Industry Series Vol. 9 (Berlin: Springer-Verlag), pp. 143-150.
    • (2006) Mathematics in Industry Series , vol.9 , pp. 143-150
    • Verhoeven, A.1    El Guennouni, A.2    ter Maten, E.J.W.3    Mattheij, R.M.M.4
  • 11
    • 14844329033 scopus 로고    scopus 로고
    • A charge oriented mixed multirate method for a special class of index-1 network equations in chip design
    • Striebel, M. and Günther, M., 2005, A charge oriented mixed multirate method for a special class of index-1 network equations in chip design. Applied Numerical Mathematics, 53, 489-507.
    • (2005) Applied Numerical Mathematics , vol.53 , pp. 489-507
    • Striebel, M.1    Günther, M.2
  • 12
    • 34547506888 scopus 로고    scopus 로고
    • Analysis of a multirate theta-method for stiff ODEs. Report MAS-R0615, CWI, Amsterdam
    • To be published in
    • Hundsdorfer, W and Savcenco, V., 2006, Analysis of a multirate theta-method for stiff ODEs. Report MAS-R0615, CWI, Amsterdam. To be published in Applied Numerical Mathematics.
    • (2006) Applied Numerical Mathematics
    • Hundsdorfer, W.1    Savcenco, V.2
  • 13
    • 0004142257 scopus 로고
    • Stability of backward Euler multirate methods and convergence of waveform relaxation
    • Sand, J. and Skelboe, S., 1992, Stability of backward Euler multirate methods and convergence of waveform relaxation. BIT, 32, 350-366.
    • (1992) BIT , vol.32 , pp. 350-366
    • Sand, J.1    Skelboe, S.2
  • 14
    • 34547504692 scopus 로고    scopus 로고
    • A multirate time stepping strategy for parabolic PDEs
    • Report MAS-E0516, CWI, Amsterdam
    • Savcenco, V., Hundsdorfer, W.H. and Verwer, J.G., 2005, A multirate time stepping strategy for parabolic PDEs. Report MAS-E0516, CWI, Amsterdam.
    • (2005)
    • Savcenco, V.1    Hundsdorfer, W.H.2    Verwer, J.G.3
  • 15
    • 84968497765 scopus 로고
    • On the stability and accuracy of one-step methods for solving stiff systems of ordinary differential equations
    • Prothero, A. and Robinson, A., 1974, On the stability and accuracy of one-step methods for solving stiff systems of ordinary differential equations. Mathematics of Computation, 28, 145-162.
    • (1974) Mathematics of Computation , vol.28 , pp. 145-162
    • Prothero, A.1    Robinson, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.