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Volumn 42, Issue 4, 2002, Pages 823-841

Logarithmic norms and nonlinear DAE stability

Author keywords

Difference inequalities; Differential inequalities; Differential algebraic equations; Error bounds; Logarithmic Lipschitz constant; Logarithmic norm; Monotonicity; Nonlinear stability

Indexed keywords


EID: 0042234296     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021956621531     Document Type: Article
Times cited : (10)

References (15)
  • 2
    • 0003304056 scopus 로고
    • Stability and error bounds in the numerical solution of ordinary differential equations
    • Stockholm
    • G. Dahlquist, Stability and Error Bounds in the Numerical Solution of Ordinary Differential Equations, Trans. Royal Inst. Tech., No. 130, Stockholm, 1959.
    • (1959) Trans. Royal Inst. Tech. , vol.130
    • Dahlquist, G.1
  • 6
    • 0022077034 scopus 로고
    • Stability properties of implicit Runge-Kutta methods
    • R. Frank, J. Schneid, and C. W. Ueberhuber, Stability properties of implicit Runge-Kutta methods, SIAM J. Numer. Anal., 22 (1985), pp. 497-514.
    • (1985) SIAM J. Numer. Anal. , vol.22 , pp. 497-514
    • Frank, R.1    Schneid, J.2    Ueberhuber, C.W.3
  • 11
    • 0022212912 scopus 로고
    • B-convergence of the implicit midpoint rule and the trapezoidal rule
    • J. F. B. M. Kraaijevanger, B-convergence of the implicit midpoint rule and the trapezoidal rule, BIT, 25 (1985), pp. 652-666.
    • (1985) BIT , vol.25 , pp. 652-666
    • Kraaijevanger, J.F.B.M.1
  • 14
    • 0016567489 scopus 로고
    • On logarithmic norms
    • T. Ström, On logarithmic norms, SIAM J. Numer. Anal., 2 (1975), pp. 741-753.
    • (1975) SIAM J. Numer. Anal. , vol.2 , pp. 741-753
    • Ström, T.1
  • 15
    • 0038538982 scopus 로고
    • Bounds on nonlinear operators in finite-dimensional Banach spaces
    • G. Söderlind, Bounds on nonlinear operators in finite-dimensional Banach spaces, Numer. Math., 50 (1986), pp. 27-44.
    • (1986) Numer. Math. , vol.50 , pp. 27-44
    • Söderlind, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.