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Volumn 37, Issue 1, 1997, Pages 37-42

Dissipativity of Runge-Kutta methods in Hilbert spaces

Author keywords

Dissipativity; Nonlinear stability; Runge Kutta Methods

Indexed keywords


EID: 0002548250     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02510171     Document Type: Article
Times cited : (35)

References (11)
  • 1
    • 0002351173 scopus 로고
    • Stability criteria for implicit Runge-Kutta processes
    • K. Burrage and J. C. Butcher, Stability criteria for implicit Runge-Kutta processes, SIAM J. Numer. Anal., 16 (1979), pp. 1095-1113.
    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 1095-1113
    • Burrage, K.1    Butcher, J.C.2
  • 2
    • 0001356367 scopus 로고
    • Non-linear stability of a general class of differential equation methods
    • K. Burrage and J. C. Butcher, Non-linear stability of a general class of differential equation methods, BIT 20 (1980), pp. 185-203.
    • (1980) BIT , vol.20 , pp. 185-203
    • Burrage, K.1    Butcher, J.C.2
  • 3
    • 0016647175 scopus 로고
    • A stability property of implicit Runge-Kutta methods
    • J. C. Butcher, A stability property of implicit Runge-Kutta methods, BIT, 15 (1975), pp. 358-361.
    • (1975) BIT , vol.15 , pp. 358-361
    • Butcher, J.C.1
  • 4
    • 0000005117 scopus 로고
    • G-stability is equivalent to A-stability
    • G. Dahlquist, G-stability is equivalent to A-stability, BIT, 18 (1978), pp. 384-401.
    • (1978) BIT , vol.18 , pp. 384-401
    • Dahlquist, G.1
  • 5
    • 0002152673 scopus 로고
    • Generalized disks of contractivity for explicit and implicit Runge-Kutta methods
    • G. Dahlquist and R. Jeltsch, Generalized disks of contractivity for explicit and implicit Runge-Kutta methods, TRITA-NA Report 7906, (1979)
    • (1979) TRITA-NA Report 7906
    • Dahlquist, G.1    Jeltsch, R.2
  • 6
    • 0003509864 scopus 로고    scopus 로고
    • On Padé approximations to the exponential function and A-stable methods for the numerical solution of initial value problems
    • Dept. AACS, Univ. of Waterloo, Ontario, Canada
    • B. L. Ehle, On Padé approximations to the exponential function and A-stable methods for the numerical solution of initial value problems, Research report CSRR 2010, Dept. AACS, Univ. of Waterloo, Ontario, Canada.
    • Research Report CSRR 2010
    • Ehle, B.L.1
  • 9
    • 85033137489 scopus 로고    scopus 로고
    • Global dissipativity for A-stable methods
    • to appear
    • A. T. Hill, Global dissipativity for A-stable methods, SIAM J. Numer. Anal. (to appear).
    • SIAM J. Numer. Anal.
    • Hill, A.T.1
  • 10
    • 0028517853 scopus 로고
    • Runge-Kutta methods for dissipative and gradient dynamical systems
    • A. R. Humphries and A. M. Stuart, Runge-Kutta methods for dissipative and gradient dynamical systems, SIAM J. Numer. Anal. 31 (1994), pp. 1452-1485.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1452-1485
    • Humphries, A.R.1    Stuart, A.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.