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Volumn 81, Issue 6, 2011, Pages 1128-1143

Modelling and simulation of autonomous oscillators with random parameters

Author keywords

Calculus of variations; Differential algebraic equation; Ordinary differential equation; Polynomial chaos; Uncertainty quantification

Indexed keywords

AUTONOMOUS SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS; CALCULUS OF VARIATIONS; DIFFERENTIAL ALGEBRAIC EQUATIONS; MODELLING AND SIMULATIONS; NUMERICAL SIMULATION; PERIODIC PROBLEMS; PHASE CONDITIONS; PHYSICAL PARAMETERS; POLYNOMIAL CHAOS; RANDOM PARAMETERS; TEST EXAMPLES; TOTAL VARIANCE; UNCERTAINTY QUANTIFICATION;

EID: 79551479278     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2010.10.028     Document Type: Article
Times cited : (13)

References (16)
  • 1
    • 41149132850 scopus 로고    scopus 로고
    • Polynomial chaos for the approximation of uncertainties: Chances and limits
    • F. Augustin, A. Gilg, M. Paffrath, P. Rentrop, and U. Wever Polynomial chaos for the approximation of uncertainties: chances and limits Eur. J. Appl. Math. 19 2008 149 190
    • (2008) Eur. J. Appl. Math. , vol.19 , pp. 149-190
    • Augustin, F.1    Gilg, A.2    Paffrath, M.3    Rentrop, P.4    Wever, U.5
  • 2
    • 0031223379 scopus 로고    scopus 로고
    • Nonlinear numerics
    • E.J. Doedel Nonlinear numerics J. Franklin Inst. 334B 5-6 1997 1049 1073
    • (1997) J. Franklin Inst. , vol.334 , Issue.56 , pp. 1049-1073
    • Doedel, E.J.1
  • 5
    • 0002348081 scopus 로고
    • Classification and numerical simulation of electric circuits
    • W. Kampowsky, P. Rentrop, and W. Schmitt Classification and numerical simulation of electric circuits Surv. Math. Ind. 2 1992 23 65
    • (1992) Surv. Math. Ind. , vol.2 , pp. 23-65
    • Kampowsky, W.1    Rentrop, P.2    Schmitt, W.3
  • 7
    • 16244411330 scopus 로고    scopus 로고
    • Adaptive generalized polynomial chaos for nonlinear random oscillators
    • D. Lucor, and G.E. Karniadakis Adaptive generalized polynomial chaos for nonlinear random oscillators SIAM J. Sci. Comput. 26 2004 720 735
    • (2004) SIAM J. Sci. Comput. , vol.26 , pp. 720-735
    • Lucor, D.1    Karniadakis, G.E.2
  • 9
    • 0003391818 scopus 로고    scopus 로고
    • 2nd ed. Prentice Hall
    • J. Munkres Topology 2nd ed. 2000 Prentice Hall
    • (2000) Topology
    • Munkres, J.1
  • 10
    • 79551474221 scopus 로고    scopus 로고
    • Polynomial chaos for analysing periodic processes of differential algebraic equations with random parameters
    • R. Pulch Polynomial chaos for analysing periodic processes of differential algebraic equations with random parameters Proc. Appl. Math. Mech. 8 2008 10069 10072
    • (2008) Proc. Appl. Math. Mech. , vol.8 , pp. 10069-10072
    • Pulch, R.1
  • 11
    • 84864633807 scopus 로고    scopus 로고
    • Polynomial chaos expansions for analysing oscillators with uncertainties
    • R. Pulch Polynomial chaos expansions for analysing oscillators with uncertainties I. Troch, F. Breitenecker, Proceedings MATHMOD 09 Vienna 2009
    • (2009) Proceedings MATHMOD 09 Vienna
    • Pulch, R.1
  • 12
    • 67649771427 scopus 로고    scopus 로고
    • Polynomial chaos for multirate partial differential algebraic equations with random parameters
    • R. Pulch Polynomial chaos for multirate partial differential algebraic equations with random parameters Appl. Numer. Math. 59 10 2009 2610 2624
    • (2009) Appl. Numer. Math. , vol.59 , Issue.10 , pp. 2610-2624
    • Pulch, R.1
  • 13
    • 70349774376 scopus 로고    scopus 로고
    • Polynomial chaos for simulating random volatilities
    • R. Pulch, and C. van Emmerich Polynomial chaos for simulating random volatilities Math. Comput. Simulat. 80 2009 245 255
    • (2009) Math. Comput. Simulat. , vol.80 , pp. 245-255
    • Pulch, R.1    Van Emmerich, C.2
  • 15
    • 0037249229 scopus 로고    scopus 로고
    • The Wiener-Askey polynomial chaos for stochastic differential equations
    • D. Xiu, and G.E. Karniadakis The Wiener-Askey polynomial chaos for stochastic differential equations SIAM J. Sci. Comput. 24 2 2002 619 644
    • (2002) SIAM J. Sci. Comput. , vol.24 , Issue.2 , pp. 619-644
    • Xiu, D.1    Karniadakis, G.E.2
  • 16
    • 33646577797 scopus 로고    scopus 로고
    • High order collocation methods for differential equations with random inputs
    • D. Xiu, and J.S. Hesthaven High order collocation methods for differential equations with random inputs SIAM J. Sci. Comput. 27 2005 1118 1139
    • (2005) SIAM J. Sci. Comput. , vol.27 , pp. 1118-1139
    • Xiu, D.1    Hesthaven, J.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.