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Volumn 64, Issue 2, 2000, Pages 183-189

Error of Partitioned Runge-Kutta Methods for Multiple Stiff Singular Perturbation Problems

Author keywords

Convergence; Partitioned runge kutta methods; Singular perturbation problems

Indexed keywords


EID: 0001199001     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006070050008     Document Type: Article
Times cited : (10)

References (13)
  • 1
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    • Aiken, R.C.1
  • 2
    • 0002351173 scopus 로고
    • Stability criteria for implicit Runge-Kutta methods
    • Burrage, K., Butcher, J. C.: Stability criteria for implicit Runge-Kutta methods. SIAM J. Numer. Anal. 16, 46-57 (1979).
    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 46-57
    • Burrage, K.1    Butcher, J.C.2
  • 3
    • 0022077277 scopus 로고
    • Order results for implicit Runge-Kutta methods applied to stiff systems
    • Frank, R., Schneid, J., Ueberhuber, C. W.: Order results for implicit Runge-Kutta methods applied to stiff systems. SIAM J. Numer. Anal. 22, 515-534 (1985).
    • (1985) SIAM J. Numer. Anal. , vol.22 , pp. 515-534
    • Frank, R.1    Schneid, J.2    Ueberhuber, C.W.3
  • 4
    • 0022077034 scopus 로고
    • Stability properties implicit Runge-Kutta methods
    • Frank, R., Schneid, J., Ueberhuber, C. W.: Stability properties implicit Runge-Kutta methods. SIAM J. Numer. Anal. 22, 497-514 (1985).
    • (1985) SIAM J. Numer. Anal. , vol.22 , pp. 497-514
    • Frank, R.1    Schneid, J.2    Ueberhuber, C.W.3
  • 6
    • 0001599522 scopus 로고
    • Error of Runge-Kutta methods for stiff problems studied via differential-algebraic equations
    • Hairer, E., Lubich, C. H., Roche, M.: Error of Runge-Kutta methods for stiff problems studied via differential-algebraic equations. BIT, 28, 678-700 (1988).
    • (1988) BIT , vol.28 , pp. 678-700
    • Hairer, E.1    Lubich, C.H.2    Roche, M.3
  • 7
    • 0021501125 scopus 로고
    • Applications of singular perturbation techniques to control problems
    • Kokotovic, P. V.: Applications of singular perturbation techniques to control problems. SIAM Rev. 26, 501-550 (1984).
    • (1984) SIAM Rev. , vol.26 , pp. 501-550
    • Kokotovic, P.V.1
  • 9
    • 34249963824 scopus 로고
    • On the convergence of multistep methods for nonlinear stiff differential equations
    • Lubich, C. H.: On the convergence of multistep methods for nonlinear stiff differential equations. Numer. Math. 55, 839-853 (1991).
    • (1991) Numer. Math. , vol.55 , pp. 839-853
    • Lubich, C.H.1
  • 11
    • 0004669479 scopus 로고
    • Order results for Rosenbrock type methods on classes of stiff equations
    • Strehmel, K., Weiner, R., Büttner, M.: Order results for Rosenbrock type methods on classes of stiff equations. Numer. Math. 59, 723-737 (1991).
    • (1991) Numer. Math. , vol.59 , pp. 723-737
    • Strehmel, K.1    Weiner, R.2    Büttner, M.3
  • 12
    • 0000996778 scopus 로고
    • Convergence results for general linear methods on singular perturbation problems
    • Schneider, S.: Convergence results for general linear methods on singular perturbation problems. BIT 33, 670-686 (1993).
    • (1993) BIT , vol.33 , pp. 670-686
    • Schneider, S.1
  • 13
    • 0005044435 scopus 로고
    • On the order of B-convergence of Runge-Kutta methods
    • Xiao, A.: On the order of B-convergence of Runge-Kutta methods. Natural Sci. J. Xiangtan Univ. 14, 16-19 (1992).
    • (1992) Natural Sci. J. Xiangtan Univ. , vol.14 , pp. 16-19
    • Xiao, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.