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Volumn 38, Issue 4, 1998, Pages 751-780

Convergence results for the matlab ODE23 routine

Author keywords

Adaptivity; Convergence; Error control; Tolerance proportionality

Indexed keywords


EID: 0041723519     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02510413     Document Type: Article
Times cited : (9)

References (15)
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  • 4
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    • Stepsize selection for tolerance proportionality in explicit Runge-Kutta codes
    • M. Calvo, D. Higham, J. Montijano, and L. Rández, Stepsize selection for tolerance proportionality in explicit Runge-Kutta codes, Adv. Comput. Math., 7 (1997), pp. 361-382.
    • (1997) Adv. Comput. Math. , vol.7 , pp. 361-382
    • Calvo, M.1    Higham, D.2    Montijano, J.3    Rández, L.4
  • 5
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    • Equilibrium states of Runge-Kutta schemes
    • G. Hall, Equilibrium states of Runge-Kutta schemes, ACM Trans. Math. Software, 11 (1985), pp. 289-301.
    • (1985) ACM Trans. Math. Software , vol.11 , pp. 289-301
    • Hall, G.1
  • 6
    • 0042240465 scopus 로고    scopus 로고
    • Analysis of the dynamics of local error control via a piecewise continuous residual
    • D. J Higham and A. M. Stuart, Analysis of the dynamics of local error control via a piecewise continuous residual, BIT, 38 (1998), pp. 44-57.
    • (1998) BIT , vol.38 , pp. 44-57
    • Higham, D.J.1    Stuart, A.M.2
  • 7
    • 0347759235 scopus 로고    scopus 로고
    • Dynamical systems and adaptive time-stepping ODE solvers
    • Stanford University
    • H. Lamba, Dynamical systems and adaptive time-stepping ODE solvers. SCCM Technical Report, Stanford University, 1998.
    • (1998) SCCM Technical Report
    • Lamba, H.1
  • 8
    • 0347759234 scopus 로고    scopus 로고
    • Convergence proofs for numerical IVP software
    • Stanford University
    • H. Lamba and A. M. Stuart, Convergence proofs for numerical IVP software. SCCM Technical Report, Stanford University, 1998.
    • (1998) SCCM Technical Report
    • Lamba, H.1    Stuart, A.M.2
  • 11
    • 0041723517 scopus 로고
    • Considerations concerning a theory for ODE solvers
    • Numerical Treatment of Differential Equations, Springer-Verlag, Berlin
    • H. J. Stetter, Considerations concerning a theory for ODE solvers, in Numerical Treatment of Differential Equations, Lecture Notes in Mathematics 631, Springer-Verlag, Berlin, 1976.
    • (1976) Lecture Notes in Mathematics , vol.631
    • Stetter, H.J.1
  • 13
    • 0000180095 scopus 로고
    • Invariant curves for variable step size integrators
    • D. Stoffer and K. Nipp, Invariant curves for variable step size integrators, BIT, 31 (1991), pp. 169-180.
    • (1991) BIT , vol.31 , pp. 169-180
    • Stoffer, D.1    Nipp, K.2
  • 14
    • 0031527059 scopus 로고    scopus 로고
    • Probabilistic and deterministic convergence proofs for software for initial value problems
    • A. M. Stuart, Probabilistic and deterministic convergence proofs for software for initial value problems, Numerical Algorithms, 14 (1997), pp. 227-260.
    • (1997) Numerical Algorithms , vol.14 , pp. 227-260
    • Stuart, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.