메뉴 건너뛰기




Volumn 35, Issue 9-10, 2002, Pages 1119-1133

The Fokker-Planck operator as an asymptotic limit in anisotropic media

Author keywords

Anisotropic media; Asymptotic limit; Fokker Planck; Forward peaked scattering; Surface harmonics

Indexed keywords

ANISOTROPY; DIFFUSION; MATHEMATICAL OPERATORS; SCATTERING;

EID: 11144247419     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(02)00075-4     Document Type: Article
Times cited : (8)

References (27)
  • 1
    • 0002202767 scopus 로고
    • The Fokker-Planck operator as an asymptotic limit
    • G.C. Pomraning, The Fokker-Planck operator as an asymptotic limit, Math. Models Methods Appl. Sci. 2 (1), 21-36 (1992).
    • (1992) Math. Models Methods Appl. Sci. , vol.2 , Issue.1 , pp. 21-36
    • Pomraning, G.C.1
  • 2
    • 36849113737 scopus 로고
    • Asymptotic solution of neutron transport problems for small mean free paths
    • E.W. Larsen and J.B. Keller, Asymptotic solution of neutron transport problems for small mean free paths, J. Math. Phys. 15 (1), 75-81 (1974).
    • (1974) J. Math. Phys. , vol.15 , Issue.1 , pp. 75-81
    • Larsen, E.W.1    Keller, J.B.2
  • 3
    • 0031281292 scopus 로고    scopus 로고
    • A spatial and angular moment analysis of the monoenergetic pencil beam problem
    • B. Su and G.C. Pomraning, A spatial and angular moment analysis of the monoenergetic pencil beam problem, Ann. Nucl. Energy, 24 (16), 1349-1371 (1997).
    • (1997) Ann. Nucl. Energy , vol.24 , Issue.16 , pp. 1349-1371
    • Su, B.1    Pomraning, G.C.2
  • 4
    • 0033482953 scopus 로고    scopus 로고
    • An asymptotic analysis of the Fokker-Planck limit of a general spatial moment method for the transport equation
    • D. Anistratov, An asymptotic analysis of the Fokker-Planck limit of a general spatial moment method for the transport equation, Transport Theory Statist. Phys. 28 (7), 679-708 (1999).
    • (1999) Transport Theory Statist. Phys. , vol.28 , Issue.7 , pp. 679-708
    • Anistratov, D.1
  • 5
    • 0010115469 scopus 로고
    • The asymptotic diffusion limit of a linear discontinuous discretization of a two-dimensional linear transport equation
    • C. Börgers, E.W. Larsen and M.L. Adams, The asymptotic diffusion limit of a linear discontinuous discretization of a two-dimensional linear transport equation, J. Comp. Phys. 98 (2), 285-300 (1992).
    • (1992) J. Comp. Phys. , vol.98 , Issue.2 , pp. 285-300
    • Börgers, C.1    Larsen, E.W.2    Adams, M.L.3
  • 6
    • 0030190584 scopus 로고    scopus 로고
    • Asymptotic derivation of the Fermi pencil-beam approximation
    • C. Börgers and E.W. Larsen, Asymptotic derivation of the Fermi pencil-beam approximation, Nucl. Sci. Eng. 123, 343-357 (1996)).
    • (1996) Nucl. Sci. Eng. , vol.123 , pp. 343-357
    • Börgers, C.1    Larsen, E.W.2
  • 7
    • 0029826018 scopus 로고    scopus 로고
    • On the accuracy of the Fokker-Planck and Fermi pencil beam equations for charged particle transport
    • C. Börgers and E.W. Larsen, On the accuracy of the Fokker-Planck and Fermi pencil beam equations for charged particle transport, Med. Phys. 23 (10), 1749-1759 (1996).
    • (1996) Med. Phys. , vol.23 , Issue.10 , pp. 1749-1759
    • Börgers, C.1    Larsen, E.W.2
  • 8
    • 0000062470 scopus 로고
    • On the connection between a solution of Boltzmann equation and a solution of the Landau-Fokker-Planck equation
    • A.A. Arsen'ev and O.E. Buryak, On the connection between a solution of Boltzmann equation and a solution of the Landau-Fokker-Planck equation, Math. USSR Sbornik 9 (2), 465-478 (1991).
    • (1991) Math. USSR Sbornik , vol.9 , Issue.2 , pp. 465-478
    • Arsen'ev, A.A.1    Buryak, O.E.2
  • 9
    • 0000583046 scopus 로고
    • The Fokker-Planck asymptotics of the Boltzmann collision operator in the Coulomb case
    • P. Degond and B. Lucquin-Desreux, The Fokker-Planck asymptotics of the Boltzmann collision operator in the Coulomb case, Math. Models Meth. Appl. Sci. 2 (2), 167-189 (1992).
    • (1992) Math. Models Meth. Appl. Sci. , vol.2 , Issue.2 , pp. 167-189
    • Degond, P.1    Lucquin-Desreux, B.2
  • 10
    • 0029935618 scopus 로고    scopus 로고
    • Electron dose calculations using multiple-scattering theory. A new theory of multiple-scattering
    • D. Jette, Electron dose calculations using multiple-scattering theory. A new theory of multiple-scattering, Med. Phys. 23, 459-476 (1996).
    • (1996) Med. Phys. , vol.23 , pp. 459-476
    • Jette, D.1
  • 13
    • 0018035021 scopus 로고
    • Transport theory in anisotropic media
    • M.M.R. Williams, Transport theory in anisotropic media, Math. Proc. Camb. Phil. Soc. 84, 549-567 (1978).
    • (1978) Math. Proc. Camb. Phil. Soc. , vol.84 , pp. 549-567
    • Williams, M.M.R.1
  • 14
    • 84980082014 scopus 로고
    • On the spectrum of an unsymmetric operator arising in the transport theory of neutrons
    • J. Lehner and G.M. Wing, On the spectrum of an unsymmetric operator arising in the transport theory of neutrons, Comm. Pure Appl. Math. 8 (2), 235-244 (1955).
    • (1955) Comm. Pure Appl. Math. , vol.8 , Issue.2 , pp. 235-244
    • Lehner, J.1    Wing, G.M.2
  • 15
    • 0031516342 scopus 로고    scopus 로고
    • Streamline diffusion methods for Fermi and Fokker-Planck equations
    • M. Asadzadeh, Streamline diffusion methods for Fermi and Fokker-Planck equations, Transport Theory Statist. Phys. 26 (3), 319-340 (1997).
    • (1997) Transport Theory Statist. Phys. , vol.26 , Issue.3 , pp. 319-340
    • Asadzadeh, M.1
  • 16
    • 2142717223 scopus 로고    scopus 로고
    • Characteristic methods for Fokker-Planck and Fermi pencil beam equations
    • Edited by R. Brun, R. Campargue, R. Gatignol and J.-C. Lengrand, Cépaduùs
    • M. Asadzadeh, Characteristic methods for Fokker-Planck and Fermi pencil beam equations, In Rarefied Gas Dynamics, Volume 2, (Edited by R. Brun, R. Campargue, R. Gatignol and J.-C. Lengrand), pp. 202-212, (Cépaduù s), (1999).
    • (1999) Rarefied Gas Dynamics, Volume 2 , vol.2 , pp. 202-212
    • Asadzadeh, M.1
  • 17
    • 0347307048 scopus 로고    scopus 로고
    • A posteriori error estimates Fokker-Planck and Fermi pencil beam equations
    • M. Asadzadeh, A posteriori error estimates Fokker-Planck and Fermi pencil beam equations, Math. Models Meth. Appl. Sci. 10 (5), 737-769 (2000).
    • (2000) Math. Models Meth. Appl. Sci. , vol.10 , Issue.5 , pp. 737-769
    • Asadzadeh, M.1
  • 21
    • 0000000708 scopus 로고
    • Neutron transport with anisotropic scattering
    • J. Mika, Neutron transport with anisotropic scattering, Nucl. Sci. Eng. 11, 415-427 (1961).
    • (1961) Nucl. Sci. Eng. , vol.11 , pp. 415-427
    • Mika, J.1
  • 22
    • 11144231597 scopus 로고
    • Solution of the one-velocity Boltzmann equation with the first order scattering of neutrons in plane geometry
    • R. Zelazny, A. Kuszell and J. Mika, Solution of the one-velocity Boltzmann equation with the first order scattering of neutrons in plane geometry, Ann. Phys. 16, 69-78 (1961).
    • (1961) Ann. Phys. , vol.16 , pp. 69-78
    • Zelazny, R.1    Kuszell, A.2    Mika, J.3
  • 26
    • 0001118605 scopus 로고
    • Molecular propagation through electron energy level crossings
    • G.A. Hagedorn, Molecular propagation through electron energy level crossings, Memories AMS, No. 536 (1994).
    • (1994) Memories AMS , Issue.536
    • Hagedorn, G.A.1
  • 27
    • 0034271990 scopus 로고    scopus 로고
    • The screened Rutherford pencil beam problem with heterogeneities
    • G.C. Pomraning, The screened Rutherford pencil beam problem with heterogeneities, Nucl. Sci. Eng. 136, 1-14 (2000).
    • (2000) Nucl. Sci. Eng. , vol.136 , pp. 1-14
    • Pomraning, G.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.