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Volumn 96, Issue 1, 2003, Pages 131-152

A variational principle for adaptive approximation of ordinary differential equations

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EID: 0742306487     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-003-0467-8     Document Type: Article
Times cited : (13)

References (20)
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  • 2
    • 0041051214 scopus 로고
    • An estimate for the perturbations of the solutions of ordinary differential equations. II
    • Alekseev, V.M.: An estimate for the perturbations of the solutions of ordinary differential equations. II. Vestnik Moskov. Univ. Ser. I Mat. Mech 3, 3-10 (1961)
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  • 4
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    • Becker, R., Rannacher, R.: A feed-back approach to error control in finite element methods: basic analysis and examples. East-West J. Numer. Math. 4(4), 237-264 (1996)
    • (1996) East-West J. Numer. Math. , vol.4 , Issue.4 , pp. 237-264
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  • 5
    • 85022001969 scopus 로고    scopus 로고
    • An optimal control approach to a posteriori error estimation in finite element methods
    • Becker, R., Rannacher, R.: An optimal control approach to a posteriori error estimation in finite element methods. Acta Numerica 1-102 (2001)
    • (2001) Acta Numerica. , pp. 1-102
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  • 9
    • 0009522795 scopus 로고
    • Introduction to adaptive methods for differential equations
    • Eriksson, K., Estep, D., Hansbo, P., Johnson, C.: Introduction to adaptive methods for differential equations. Acta Numerica 105-158 (1995)
    • (1995) Acta Numerica. , pp. 105-158
    • Eriksson, K.1    Estep, D.2    Hansbo, P.3    Johnson, C.4
  • 10
    • 0001164460 scopus 로고
    • A posteriori error bounds and global error control for approximation of ordinary differential equations
    • Estep, D.: A posteriori error bounds and global error control for approximation of ordinary differential equations. SIAM J. Numer. Anal. 32, 1-48 (1995)
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 1-48
    • Estep, D.1
  • 15
    • 0001562231 scopus 로고
    • Error estimates and adaptive time-step control for a class of one-step methods for stiff ordinary differential equations
    • Johnson, C.: Error estimates and adaptive time-step control for a class of one-step methods for stiff ordinary differential equations. SIAM J. Numer. Anal. 25, 908-926 (1988)
    • (1988) SIAM J. Numer. Anal. , vol.25 , pp. 908-926
    • Johnson, C.1
  • 16
    • 84990662772 scopus 로고
    • Adaptive finite element methods for conservation laws based on a posteriori error estimates
    • Johnson, C., Szepessy, A.: Adaptive finite element methods for conservation laws based on a posteriori error estimates. Comm. Pure Appl. Math. 48, 199-234 (1995)
    • (1995) Comm. Pure Appl. Math. , vol.48 , pp. 199-234
    • Johnson, C.1    Szepessy, A.2
  • 17
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    • Hyperbolic differential equations and adaptive numerics
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    • Moon, K.-S., Szepessy, A., Tempone, R., Zouraris, G.E.: Hyperbolic differential equations and adaptive numerics. In: Theory and numerics of differential equations (Eds. J.F. Blowey, J.P. Coleman and A.W. Craig, Durham 2000, Springer Verlag, 2001)
    • (2000) Theory and Numerics of Differential Equations
    • Moon, K.-S.1    Szepessy, A.2    Tempone, R.3    Zouraris, G.E.4
  • 18
    • 0742289173 scopus 로고    scopus 로고
    • Convergence rates for adaptive approximation of ordinary differential equations
    • in press. DOI 10.1007/s00211-003-0466-9
    • Moon, K.-S., Szepessy, A., Tempone, R., Zouraris, G.E. (2003) Convergence rates for adaptive approximation of ordinary differential equations. Numer. Math. (in press). DOI 10.1007/s00211-003-0466-9
    • (2003) Numer. Math.
    • Moon, K.-S.1    Szepessy, A.2    Tempone, R.3    Zouraris, G.E.4
  • 19
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    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1644-1653
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.