메뉴 건너뛰기




Volumn 29, Issue 2, 2007, Pages 864-889

Multi-resolution-analysis scheme for uncertainty quantification in chemical systems

Author keywords

Chemical systems; Multi wavelets; Polynomial chaos; Uncertainty quantification

Indexed keywords

CHAOS THEORY; CONVERGENCE OF NUMERICAL METHODS; GALERKIN METHODS; POLYNOMIAL APPROXIMATION; WAVELET TRANSFORMS;

EID: 39149094987     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/050643118     Document Type: Article
Times cited : (79)

References (20)
  • 2
    • 0037058028 scopus 로고    scopus 로고
    • Adaptive solution of partial differential equations in multiwavelet bases
    • B. ALPERT, G. BEYLKIN, D. GINES, AND L. VOZOVOI, Adaptive solution of partial differential equations in multiwavelet bases, J. Comput. Phys., 182 (2002), pp. 149-190.
    • (2002) J. Comput. Phys , vol.182 , pp. 149-190
    • ALPERT, B.1    BEYLKIN, G.2    GINES, D.3    VOZOVOI, L.4
  • 3
    • 0000139676 scopus 로고
    • 2 for the sparse representation of integral operators
    • 2 for the sparse representation of integral operators, SIAM J. Math. Anal., 24 (1993), pp. 246-262.
    • (1993) SIAM J. Math. Anal , vol.24 , pp. 246-262
    • ALPERT, B.K.1
  • 5
    • 84976767398 scopus 로고
    • A polyalgorithm for the numerical solution of ordinary differential equations
    • G. D. BYRNE AND A. C. HINDMARSH, A polyalgorithm for the numerical solution of ordinary differential equations, ACM Trans. Math. Software, 1 (1975), pp. 71-96.
    • (1975) ACM Trans. Math. Software , vol.1 , pp. 71-96
    • BYRNE, G.D.1    HINDMARSH, A.C.2
  • 6
    • 0000148817 scopus 로고
    • The orthogonal development of nonlinear functional in series of Fourier-Hermite functionals
    • R. H. CAMERON AND W. T. MARTIN, The orthogonal development of nonlinear functional in series of Fourier-Hermite functionals, Ann. Math. (2), 48 (1947), pp. 385-392.
    • (1947) Ann. Math. (2) , vol.48 , pp. 385-392
    • CAMERON, R.H.1    MARTIN, W.T.2
  • 7
    • 0041782621 scopus 로고    scopus 로고
    • Protein labeling reactions in electrochemical flow: Numerical simulation and uncertainty propagation
    • B. DEBUSSCHERE, H. NAJM, A. MATTA, R. GHANEM, AND O. LE MAÎTRE, Protein labeling reactions in electrochemical flow: Numerical simulation and uncertainty propagation, Phys. Fluids, 15 (2003), pp. 2238-2250.
    • (2003) Phys. Fluids , vol.15 , pp. 2238-2250
    • DEBUSSCHERE, B.1    NAJM, H.2    MATTA, A.3    GHANEM, R.4    LE MAÎTRE, O.5
  • 9
    • 0033293545 scopus 로고    scopus 로고
    • The nonlinear Gaussian spectrum of lognormal stochastic processes and variables
    • R. GHANEM, The nonlinear Gaussian spectrum of lognormal stochastic processes and variables, ASME J. Appl. Mech., 66 (1999), pp. 964-973.
    • (1999) ASME J. Appl. Mech , vol.66 , pp. 964-973
    • GHANEM, R.1
  • 13
    • 3242712896 scopus 로고    scopus 로고
    • Multi-resolution analysis of Wiener-type uncertainty propagation schemes
    • O. P. LE MAÎTRE, H. M. NAJM, R. G. GHANEM, AND O. M. KNIO, Multi-resolution analysis of Wiener-type uncertainty propagation schemes, J. Comput. Phys., 197 (2004), pp. 502-531.
    • (2004) J. Comput. Phys , vol.197 , pp. 502-531
    • LE MAÎTRE, O.P.1    NAJM, H.M.2    GHANEM, R.G.3    KNIO, O.M.4
  • 16
    • 0030735572 scopus 로고    scopus 로고
    • Incorporation of parametric uncertainty into complex kinetic mechanisms: Application to hydrogen oxidation in supercritical water
    • B. D. PHENIX, J. L. DINARO, M. A. TATANG, J. W. TESTER, J. B. HOWARD, AND G. J. MCRAE, Incorporation of parametric uncertainty into complex kinetic mechanisms: Application to hydrogen oxidation in supercritical water, Combust. Flame, 112 (1998), pp. 132-146.
    • (1998) Combust. Flame , vol.112 , pp. 132-146
    • PHENIX, B.D.1    DINARO, J.L.2    TATANG, M.A.3    TESTER, J.W.4    HOWARD, J.B.5    MCRAE, G.J.6
  • 18
    • 0037299084 scopus 로고    scopus 로고
    • Uncertainty quantification in reacting flow simulations through non-intrusive spectral projection
    • M. T. REAGAN, H. N. NAJM, R. G. GHANEM, AND O. M. KNIO, Uncertainty quantification in reacting flow simulations through non-intrusive spectral projection, Combust. Flame, 132 (2003), pp. 545-555.
    • (2003) Combust. Flame , vol.132 , pp. 545-555
    • REAGAN, M.T.1    NAJM, H.N.2    GHANEM, R.G.3    KNIO, O.M.4
  • 19
    • 0000786435 scopus 로고
    • The homogeneous chaos
    • N. WIENER, The homogeneous chaos, Amer. J. Math., 60 (1938), pp. 897-936.
    • (1938) Amer. J. Math , vol.60 , pp. 897-936
    • WIENER, N.1
  • 20
    • 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 (2002), pp. 619-644.
    • (2002) SIAM J. Sci. Comput , vol.24 , pp. 619-644
    • XIU, D.1    KARNIADAKIS, G.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.