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Volumn 111, Issue 1-2, 1999, Pages 13-24

Rigorous error bounds for RK methods in the proof of chaotic behaviour

Author keywords

Conley index theory; Explicit RK method; Truncation and round off error

Indexed keywords

CHAOS THEORY; ERROR ANALYSIS; ITERATIVE METHODS; THEOREM PROVING;

EID: 0040960789     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00128-4     Document Type: Article
Times cited : (1)

References (8)
  • 2
    • 0003195869 scopus 로고
    • Solving Ordinary Differential Equations I
    • Springer, Berlin, New York, Heidelberg
    • E. Hairer, S.P. N ø rsett, G. Wanner, Solving Ordinary Differential Equations I, Nonstiff Problems, 2nd Edition, Springer, Berlin, New York, Heidelberg, 1993.
    • (1993) Nonstiff Problems, 2nd Edition
    • Hairer, E.1    Nørsett, S.P.2    Wanner, G.3
  • 6
    • 0030268948 scopus 로고    scopus 로고
    • Rigorous error analysis of numerical algorithms via symbolic computations
    • Mrozek M. Rigorous error analysis of numerical algorithms via symbolic computations. J. Symbolic Comput. 22:1996;435-458.
    • (1996) J. Symbolic Comput. , vol.22 , pp. 435-458
    • Mrozek, M.1
  • 7
    • 0002920165 scopus 로고
    • The Conley index for decomposition of isolated invariant sets
    • Szymczak A. The Conley index for decomposition of isolated invariant sets. Fund. Math. 148:1995;71-90.
    • (1995) Fund. Math. , vol.148 , pp. 71-90
    • Szymczak, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.