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Volumn 2660, Issue , 2003, Pages 346-354

Performance evaluation of generalized polynomial chaos

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; INTELLIGENT SYSTEMS; ORDINARY DIFFERENTIAL EQUATIONS; POLYNOMIALS;

EID: 34548411142     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-44864-0_36     Document Type: Review
Times cited : (25)

References (9)
  • 1
    • 0000148817 scopus 로고
    • The orthogonal development of nonlinear functionals in series of Fourier-Hermite functionals
    • Cameron, R., Martin, W.: The orthogonal development of nonlinear functionals in series of Fourier-Hermite functionals. Ann. Math. 48 (1947) 385-392
    • (1947) Ann. Math. , vol.48 , pp. 385-392
    • Cameron, R.1    Martin, W.2
  • 2
    • 0033528038 scopus 로고    scopus 로고
    • Ingredients for a general purpose stochastic finite element formulation
    • Ghanem, R.: Ingredients for a general purpose stochastic finite element formulation. Comput. Methods Appl. Mech. Engrg. 168 (1999) 19-34
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.168 , pp. 19-34
    • Ghanem, R.1
  • 4
    • 0000786435 scopus 로고
    • The homogeneous chaos
    • Wiener, N.: The homogeneous chaos. Amer. J. Math., 60 (1938) 897-936
    • (1938) Amer. J. Math. , vol.60 , pp. 897-936
    • Wiener, N.1
  • 5
    • 0037184252 scopus 로고    scopus 로고
    • Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos
    • Xiu, D., Karniadakis, G.: Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos. Comput. Methods Appl. Math. Engrg. 191 (2002) 4927-4948
    • (2002) Comput. Methods Appl. Math. Engrg. , vol.191 , pp. 4927-4948
    • Xiu, D.1    Karniadakis, G.2
  • 6
    • 0037249229 scopus 로고    scopus 로고
    • The Wiener-Askey polynomial chaos for stochastic differential equations
    • Xiu, D., Karniadakis, G.: The Wiener-Askey polynomial chaos for stochastic differential equations. SIAM J. Sci. Comput. 24 (2002) 619-644
    • (2002) SIAM J. Sci. Comput. , vol.24 , pp. 619-644
    • Xiu, D.1    Karniadakis, G.2
  • 7
    • 84949588789 scopus 로고    scopus 로고
    • Modeling uncertainty in flow simulations via generalized polynomial chaos
    • to appear
    • Xiu, D.,Karniadakis, G.: Modeling uncertainty in flow simulations via generalized polynomial chaos. J. Comput. Phys. (to appear)
    • J. Comput. Phys.
    • Xiu, D.1    Karniadakis, G.2
  • 8
    • 0011074291 scopus 로고    scopus 로고
    • Stochastic modeling of flow-structure interactions using generalized polynomial chaos
    • Xiu, D., Lucor, D., Su, C., Karniadakis, G.: Stochastic modeling of flow-structure interactions using generalized polynomial chaos. J. Fluids Eng. 124 (2002) 51-59
    • (2002) J. Fluids Eng. , vol.124 , pp. 51-59
    • Xiu, D.1    Lucor, D.2    Su, C.3    Karniadakis, G.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.