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Volumn 23, Issue 6, 2002, Pages 2074-2094

Chebyshev spectral methods for radiative transfer

Author keywords

Chebyshev spectral method; Radiative transfer

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; FINITE DIFFERENCE METHOD; HEAT TRANSFER; INTEGRODIFFERENTIAL EQUATIONS; POLYNOMIALS;

EID: 0036449714     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827500382312     Document Type: Article
Times cited : (50)

References (21)
  • 1
    • 0001542022 scopus 로고
    • Self-similar decay of 3-dimensional homogeneous turbulence with hyperviscosity
    • V. Borue and S.A. Orszag, Self-similar decay of 3-dimensional homogeneous turbulence with hyperviscosity, Phys. Rev. E, 51 (1995), pp. R856-R859.
    • (1995) Phys. Rev. E , vol.51
    • Borue, V.1    Orszag, S.A.2
  • 2
    • 0000263618 scopus 로고    scopus 로고
    • Spectral elements on infinite domains
    • K. Black, Spectral elements on infinite domains, SEAM J. Sci. Comput., 19 (1998), pp. 1667-1681.
    • (1998) SEAM J. Sci. Comput. , vol.19 , pp. 1667-1681
    • Black, K.1
  • 3
    • 0042973847 scopus 로고
    • Solution of the Schrödinger equation by a spectral method
    • M.D. Feit, J.A. Fleck, Jr., and A. Steiger, Solution of the Schrödinger equation by a spectral method, J. Comput. Phys., 47 (1982), pp. 412-433.
    • (1982) J. Comput. Phys. , vol.47 , pp. 412-433
    • Feit, M.D.1    Fleck J.A., Jr.2    Steiger, A.3
  • 4
    • 0030584598 scopus 로고    scopus 로고
    • A pseudospeetral Chebyshev method for the 2D wave equation with domain stretching and absorbing boundary conditions
    • R. Renaut and J. Frohlich, A pseudospeetral Chebyshev method for the 2D wave equation with domain stretching and absorbing boundary conditions, J. Comput. Phys., 124 (1996), pp. 324-336.
    • (1996) J. Comput. Phys. , vol.124 , pp. 324-336
    • Renaut, R.1    Frohlich, J.2
  • 5
    • 0032131079 scopus 로고    scopus 로고
    • Approximation of the wave and electromagnetic diffusion equations by spectral methods
    • F. Ben Belgacem and M. Grundmann, Approximation of the wave and electromagnetic diffusion equations by spectral methods, SIAM J. Sci. Comput., 20 (1998), pp. 13-32.
    • (1998) SIAM J. Sci. Comput. , vol.20 , pp. 13-32
    • Ben Belgacem, F.1    Grundmann, M.2
  • 10
    • 0030388835 scopus 로고    scopus 로고
    • Transport equations for elastic and other waves in random media
    • L. Ryzhik, G. Papanicolaou, and J.B. Keller, Transport equations for elastic and other waves in random media, Wave Motion, 24 (1996), pp. 327-370.
    • (1996) Wave Motion , vol.24 , pp. 327-370
    • Ryzhik, L.1    Papanicolaou, G.2    Keller, J.B.3
  • 11
    • 0033944387 scopus 로고    scopus 로고
    • Polarization effects of seismic waves on the basis of radiative transport theory
    • G. Bal and M. Moscoso, Polarization effects of seismic waves on the basis of radiative transport theory, Geophys. J. Int., 142 (2000), pp. 571-585.
    • (2000) Geophys. J. Int. , vol.142 , pp. 571-585
    • Bal, G.1    Moscoso, M.2
  • 13
    • 0035318150 scopus 로고    scopus 로고
    • Depolarization and blurring of optical images by biological tissues
    • M. Moscoso, J.B. Keller, and G. Papanicolaou, Depolarization and blurring of optical images by biological tissues, J. Opt. Soc. Amer. A, 18 (2001), pp. 948-960.
    • (2001) J. Opt. Soc. Amer. A , vol.18 , pp. 948-960
    • Moscoso, M.1    Keller, J.B.2    Papanicolaou, G.3
  • 14
    • 0011949690 scopus 로고    scopus 로고
    • Use of fast Fourier-transform computational methods in radiation transport
    • B. Ritchie, P.G. Dykema, and D. Braddy, Use of fast Fourier-transform computational methods in radiation transport, Phys. Rev. E, 56 (1997), pp. 2217-2227.
    • (1997) Phys. Rev. E , vol.56 , pp. 2217-2227
    • Ritchie, B.1    Dykema, P.G.2    Braddy, D.3
  • 15
    • 0001280464 scopus 로고    scopus 로고
    • A Chebyshev spectral method for radiative transfer equations applied to electromagnetic wave propagation and scattering in discrete random media
    • A.D. Kim and A. Ishimaru, A Chebyshev spectral method for radiative transfer equations applied to electromagnetic wave propagation and scattering in discrete random media, J. Comput. Phys., 152 (1999), pp. 264-280.
    • (1999) J. Comput. Phys. , vol.152 , pp. 264-280
    • Kim, A.D.1    Ishimaru, A.2
  • 16
    • 0000405886 scopus 로고    scopus 로고
    • A transport-backtransport method for optical tomography
    • O. Dorn, A transport-backtransport method for optical tomography, Inverse Problems, 14 (1998), pp. 1107-1130.
    • (1998) Inverse Problems , vol.14 , pp. 1107-1130
    • Dorn, O.1
  • 18
    • 0030375661 scopus 로고    scopus 로고
    • An efficient spectral method for ordinary differential equations with rational function coefficients
    • E.A. Coutsias, T. Hagstrom, and D. Torres, An efficient spectral method for ordinary differential equations with rational function coefficients, Math. Comp., 65 (1996), pp. 611-635.
    • (1996) Math. Comp. , vol.65 , pp. 611-635
    • Coutsias, E.A.1    Hagstrom, T.2    Torres, D.3
  • 19
    • 0000999662 scopus 로고
    • Generalized deflated block-elimination
    • T.F. Chan and D.C. Resasco, Generalized deflated block-elimination, SIAM J. Numer. Anal., 23 (1986), pp. 913-924.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 913-924
    • Chan, T.F.1    Resasco, D.C.2
  • 20
    • 0011948277 scopus 로고
    • An application of the finite-element method to the solution of the radiative transfer equation
    • V.B. Kisslelev, L. Roberti, and G. Perona, An application of the finite-element method to the solution of the radiative transfer equation, J. Quant. Spectros. Radiat. Transfer, 51 (1994), pp. 603-614.
    • (1994) J. Quant. Spectros. Radiat. Transfer , vol.51 , pp. 603-614
    • Kisslelev, V.B.1    Roberti, L.2    Perona, G.3
  • 21
    • 0002399533 scopus 로고
    • On the pointwise convergence of the discrete-ordinate method
    • H.B. Keller, On the pointwise convergence of the discrete-ordinate method, J. Soc. Indust. Appl. Math., 8 (1960), pp. 560-567.
    • (1960) J. Soc. Indust. Appl. Math. , vol.8 , pp. 560-567
    • Keller, H.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.