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Volumn 36, Issue 2, 2004, Pages 135-155

Modified defect correction algorithms for ODES. Part I: General theory

Author keywords

Defect correction; Initial value problems

Indexed keywords


EID: 3142769997     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:NUMA.0000033129.73715.7f     Document Type: Article
Times cited : (21)

References (13)
  • 2
    • 0347743223 scopus 로고
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    • (1990) Computing , vol.43 , pp. 223-253
    • Auzinger, W.1    Frank, R.2    Kirlinger, G.3
  • 4
    • 29144523012 scopus 로고    scopus 로고
    • Analysis of a new error estimate for collocation methods applied to singular boundary value problems
    • to appear
    • W. Auzinger, O. Koch and E. Weinmüller, Analysis of a new error estimate for collocation methods applied to singular boundary value problems, to appear in SIAM J. Numer. Anal.
    • SIAM J. Numer. Anal.
    • Auzinger, W.1    Koch, O.2    Weinmüller, E.3
  • 5
    • 0036437244 scopus 로고    scopus 로고
    • Efficient collocation schemes for singular boundary value problems
    • W. Auzinger, O. Koch and E. Weinmüller, Efficient collocation schemes for singular boundary value problems, Numer. Algorithms 31 (2002) 5-25.
    • (2002) Numer. Algorithms , vol.31 , pp. 5-25
    • Auzinger, W.1    Koch, O.2    Weinmüller, E.3
  • 6
    • 3142704422 scopus 로고    scopus 로고
    • New variants of defect correction for boundary value problems in ordinary differential equations
    • eds. Z. Chen, R. Glowinski and K. Li, Contemporary Mathematics, (Amer. Math. Soc., Providence, RI)
    • W. Auzinger, O. Koch and E. Weinmüller, New variants of defect correction for boundary value problems in ordinary differential equations, in: Current Trends in Scientific Computing, eds. Z. Chen, R. Glowinski and K. Li, Contemporary Mathematics, Vol. 329 (Amer. Math. Soc., Providence, RI, 2003) pp. 43-50.
    • (2003) Current Trends in Scientific Computing , vol.329 , pp. 43-50
    • Auzinger, W.1    Koch, O.2    Weinmüller, E.3
  • 7
    • 0041774330 scopus 로고
    • Iterated defect correction for differential equations, part I: Theoretical results
    • R. Frank and C. Überhuber, Iterated defect correction for differential equations, part I: Theoretical results, Computing 20 (1978) 207-228.
    • (1978) Computing , vol.20 , pp. 207-228
    • Frank, R.1    Überhuber, C.2
  • 11
    • 0003042856 scopus 로고
    • Gaussian collocation via defect correction
    • K.H. Schild, Gaussian collocation via defect correction, Numer. Math. 58 (1990) 369-386.
    • (1990) Numer. Math. , vol.58 , pp. 369-386
    • Schild, K.H.1
  • 12
    • 33745580052 scopus 로고
    • The defect correction principle and discretization methods
    • H.J. Stetter, The defect correction principle and discretization methods, Numer. Math. 29 (1978) 425-443.
    • (1978) Numer. Math. , vol.29 , pp. 425-443
    • Stetter, H.J.1
  • 13
    • 0007148564 scopus 로고
    • On the estimation of errors propagated in the numerical integration of ODEs
    • P.E. Zadunaisky, On the estimation of errors propagated in the numerical integration of ODEs, Numer. Math. 27 (1976) 21-39.
    • (1976) Numer. Math. , vol.27 , pp. 21-39
    • Zadunaisky, P.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.