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Volumn 44, Issue 3, 1990, Pages 197-208

A note on convergence concepts for stiff problems

Author keywords

AMS Subject Classifications: 65F35, 65L05, 65L07; logarithmic norms; one sided Lipschitz continuity; Stiff differential equations

Indexed keywords

LIPSCHITZ CONTINUITY; LOGARITHMIC NORMS; STIFF DIFFERENTIAL EQUATIONS;

EID: 0024983463     PISSN: 0010485X     EISSN: 14365057     Source Type: Journal    
DOI: 10.1007/BF02262216     Document Type: Article
Times cited : (15)

References (16)
  • 1
    • 84936357157 scopus 로고    scopus 로고
    • W. Auzinger, R. Frank, F. Macsek, Asymptotic error expansions for stiff equations: The implicit Euler scheme, Report Nr. 72/87, Institut für Angewandte und Numerische Mathematik, TU Wien, 1987. (To appear in SIAM J. Numer. Anal.)
  • 2
    • 0347112775 scopus 로고
    • Asymptotic error expansions for stiff equations: An analysis for the implicit midpoint and trapezoidal rules in the strongly stiff case
    • (1989) Numer. Math. , vol.56 , pp. 469-499
    • Auzinger, W.1    Frank, R.2
  • 3
    • 84936321713 scopus 로고    scopus 로고
    • W. Auzinger, R. Frank, Asymptotic error expansions for stiff equations: The implicit midpoint rule, Report Nr. 77/88, Institut für Angewandte und Numerische Mathematik, TU Wien, 1988. (Submitted.)
  • 4
    • 84936326296 scopus 로고    scopus 로고
    • W. Auzinger, R. Frank, G. Kirlinger, Asymptotic error expansions for stiff equations: Applications, Report Nr. 78/89, Institut für Angewandte und Numerische Mathematik, TU Wien, 1989. (To appear in Computing.)
  • 5
    • 0016647175 scopus 로고
    • A stability property of implicit Runge-Kutta methods
    • (1975) BIT , vol.15 , pp. 358-361
    • Butcher, J.C.1
  • 8
    • 84936318898 scopus 로고    scopus 로고
    • R. Frank, J. Schneid, C. W. Ueberhuber, Einseitige Lipschitzbedingungen für gewöhnliche Differentialgleichungen, Report Nr. 33/78, Institut für Numerische Mathematik, TU Wien, 1978.
  • 13
    • 84936364484 scopus 로고    scopus 로고
    • E. Hairer, Ch. Lubich, M. Roche, Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations, Report, Dept. de Mathématiques, Université de Genève, 1987.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.