메뉴 건너뛰기




Volumn 39, Issue 3, 2002, Pages 1078-1095

Moment methods for the semiconductor Boltzmann equation on bounded position domains

Author keywords

Boltzmann equation; Moment expansion; Semiconductors

Indexed keywords


EID: 0035382405     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142998335984     Document Type: Article
Times cited : (59)

References (21)
  • 1
    • 84967735805 scopus 로고
    • Diffusion approximation and computation of the critical size
    • C. BARDOS, R. SANTOS, AND R. SENTIS, Diffusion approximation and computation of the critical size, Trans. Amer. Math. Soc., 284 (1984), pp. 617-649.
    • (1984) Trans. Amer. Math. Soc. , vol.284 , pp. 617-649
    • Bardos, C.1    Santos, R.2    Sentis, R.3
  • 3
    • 84980134667 scopus 로고
    • Numerical solution of Boltzmann's equation
    • A.J. CHORIN, Numerical solution of Boltzmann's equation, Comm. Pure Appl. Math., 25 (1972), pp. 171-186.
    • (1972) Comm. Pure Appl. Math. , vol.25 , pp. 171-186
    • Chorin, A.J.1
  • 5
    • 84980081651 scopus 로고
    • On the kinetic theory of rarefied gases
    • H. GRAD, On the kinetic theory of rarefied gases, Comm. Pure Appl. Math., 2 (1949), pp. 331-407.
    • (1949) Comm. Pure Appl. Math. , vol.2 , pp. 331-407
    • Grad, H.1
  • 7
    • 0010663847 scopus 로고    scopus 로고
    • Discretization of the multiscale semiconductor Boltzmann equation by diffusive relaxation schemes
    • S. JIN AND L. PARESCHI, Discretization of the multiscale semiconductor Boltzmann equation by diffusive relaxation schemes, J. Comput. Phys., 161 (2000), pp. 312-330.
    • (2000) J. Comput. Phys. , vol.161 , pp. 312-330
    • Jin, S.1    Pareschi, L.2
  • 8
    • 0000459561 scopus 로고    scopus 로고
    • Diffusive relaxation schemes for multiscale discrete-velocity kinetic equations
    • S. JIN, L. PARESCHI, AND G. TOSCANI, Diffusive relaxation schemes for multiscale discrete-velocity kinetic equations, SIAM J. Numer. Anal., 35 (1998), pp. 2405-2439.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 2405-2439
    • Jin, S.1    Pareschi, L.2    Toscani, G.3
  • 9
    • 0034436875 scopus 로고    scopus 로고
    • Uniformly accurate diffusive relaxation schemes for multiscale transport equations
    • S. JIN, L. PARESCHI, AND G. TOSCANI, Uniformly accurate diffusive relaxation schemes for multiscale transport equations, SIAM J. Numer. Anal., 38 (2000), pp. 913-936.
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 913-936
    • Jin, S.1    Pareschi, L.2    Toscani, G.3
  • 10
    • 0000557853 scopus 로고    scopus 로고
    • An asymptotic-induced scheme for nonstationary transport equations in the diffusive limit
    • A. KLAR, An asymptotic-induced scheme for nonstationary transport equations in the diffusive limit, SIAM J. Numer. Anal., 35 (1998), pp. 1073-1094.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 1073-1094
    • Klar, A.1
  • 11
    • 0032205976 scopus 로고    scopus 로고
    • Asymptotic-induced domain decomposition methods for kinetic and drift diffusion semiconductor equations
    • A. KLAR, Asymptotic-induced domain decomposition methods for kinetic and drift diffusion semiconductor equations, SIAM J. Sci. Comput., 19 (1998), pp. 2032-2050.
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 2032-2050
    • Klar, A.1
  • 12
    • 0033296722 scopus 로고    scopus 로고
    • A numerical method for kinetic semiconductor equations in the drift-diffusion limit
    • A. KLAR, A numerical method for kinetic semiconductor equations in the drift-diffusion limit, SIAM J. Sci. Comput., 20 (1999), pp. 1696-1712.
    • (1999) SIAM J. Sci. Comput. , vol.20 , pp. 1696-1712
    • Klar, A.1
  • 14
    • 0030534703 scopus 로고    scopus 로고
    • Moment closure hierarchies for kinetic theories
    • C.D. LEVERMORE, Moment closure hierarchies for kinetic theories, J. Statist. Phys., 83 (1996), pp. 1021-1065.
    • (1996) J. Statist. Phys. , vol.83 , pp. 1021-1065
    • Levermore, C.D.1
  • 15
    • 0003202934 scopus 로고
    • Compressible fluid flow and systems of conservation laws in several space dimensions
    • Springer-Verlag, New York
    • A. MAJDA, Compressible Fluid Flow and Systems of Conservation Laws in Several Space Dimensions, Appl. Math. Sci. 53, Springer-Verlag, New York, 1984.
    • (1984) Appl. Math. Sci. , vol.53
    • Majda, A.1
  • 17
    • 0001140574 scopus 로고    scopus 로고
    • An implicit Monte Carlo method for rarefied gas dynamics. I: The space homogeneous case
    • L. PARESCHI AND R.E. CAFLISCH, An implicit Monte Carlo method for rarefied gas dynamics. I: The space homogeneous case, J. Comput. Phys., 154 (1999), pp. 90-116.
    • (1999) J. Comput. Phys. , vol.154 , pp. 90-116
    • Pareschi, L.1    Caflisch, R.E.2
  • 18
    • 84974753119 scopus 로고
    • Diffusion approximation of the linear Boltzmann equation: Analysis of boundary layers
    • F. POUPAUD, Diffusion approximation of the linear Boltzmann equation: Analysis of boundary layers, Asymptot. Anal., 4 (1991), pp. 293-317.
    • (1991) Asymptot. Anal. , vol.4 , pp. 293-317
    • Poupaud, F.1
  • 19
    • 0034449740 scopus 로고    scopus 로고
    • Space-time discretization of series expansion methods for the Boltzmann transport equation
    • C. RINGHOFER, Space-time discretization of series expansion methods for the Boltzmann transport equation, SIAM J. Numer. Anal., 38 (2000), pp. 442-465.
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 442-465
    • Ringhofer, C.1
  • 20
    • 0002224298 scopus 로고    scopus 로고
    • Convergence of moment methods for linear kinetic equations
    • C. SCHMEISER AND A. ZWIRCHMAYR, Convergence of moment methods for linear kinetic equations, SIAM J. Numer. Anal., 36 (1998), pp. 74-88.
    • (1998) SIAM J. Numer. Anal. , vol.36 , pp. 74-88
    • Schmeiser, C.1    Zwirchmayr, A.2
  • 21
    • 0000022097 scopus 로고
    • Second order boundary conditions of drift-diffusion equations of semiconductors
    • A. YAMNAHAKKI, Second order boundary conditions of drift-diffusion equations of semiconductors, Math. Models Methods Appl. Sci., 5 (1995), pp. 429-456.
    • (1995) Math. Models Methods Appl. Sci. , vol.5 , pp. 429-456
    • Yamnahakki, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.