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Volumn 31, Issue 4-6, 2002, Pages 431-452

Numerical methods for the semiconductor Boltzmann equation based on spherical harmonics expansions and entropy discretizations

Author keywords

Boltzmann equation; Finite differences; Galerkin methods

Indexed keywords


EID: 0036433829     PISSN: 00411450     EISSN: None     Source Type: Journal    
DOI: 10.1081/TT-120015508     Document Type: Conference Paper
Times cited : (34)

References (12)
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    • Cercignani, C.1
  • 2
    • 0026140198 scopus 로고
    • A physics based analytical-numerical solution to the Boltzmann equation for use in semiconductor device simulation
    • Goldsman, N.; Henrickson, L.; Frey, J. A Physics Based Analytical-Numerical Solution to the Boltzmann Equation for use in Semiconductor Device Simulation. Solid State Electr. 1991, 34, 389.
    • (1991) Solid State Electr. , vol.34 , pp. 389
    • Goldsman, N.1    Henrickson, L.2    Frey, J.3
  • 3
    • 0030534703 scopus 로고    scopus 로고
    • Moment closure hierarchies for kinetic theories
    • Levermore, D. Moment Closure Hierarchies for Kinetic Theories. J. Stat. Phys. 1996, 83, 1021-1065.
    • (1996) J. Stat. Phys. , vol.83 , pp. 1021-1065
    • Levermore, D.1
  • 5
    • 0001231902 scopus 로고    scopus 로고
    • Spherical harmonics type expansion for the Boltzmann equation in semiconductor devices
    • Majorana, A. Spherical Harmonics Type Expansion for the Boltzmann Equation in Semiconductor Devices. Le Matematice LIII 1998, 331-344.
    • (1998) Le Matematice , vol.53 , pp. 331-344
    • Majorana, A.1
  • 6
    • 0034449740 scopus 로고    scopus 로고
    • Space-time discretization methods for series expansion solutions of the Boltzmann equation for semiconductors
    • Ringhofer, C. Space-Time Discretization Methods for Series Expansion Solutions of the Boltzmann Equation for Semiconductors. SIAM J. Numer. Anal. 2000, 38, 442-465.
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 442-465
    • Ringhofer, C.1
  • 7
    • 0011573748 scopus 로고    scopus 로고
    • A mixed spectral-difference method for the steady state Boltzmann-Poisson system
    • Submitted
    • Ringhofer, C. A Mixed Spectral-Difference Method for the Steady State Boltzmann-Poisson System. Submitted, SIAM J. Numer. Anal. 2001.
    • (2001) SIAM J. Numer. Anal.
    • Ringhofer, C.1
  • 8
    • 0035619298 scopus 로고    scopus 로고
    • An entropy-based finite difference method for the energy transport system
    • Ringhofer, C. An Entropy-Based Finite Difference Method for the Energy Transport System. Math. Mod. Meth. in Appl. Sci. 2001, 11, 769-795.
    • (2001) Math. Mod. Meth. in Appl. Sci. , vol.11 , pp. 769-795
    • Ringhofer, C.1
  • 9
    • 0011679112 scopus 로고
    • Galerkin methods for the semiconductor Boltzmann equation
    • Hamburg
    • Schmeiser, C.; Zwirchmayr, A. Galerkin Methods for the Semiconductor Boltzmann Equation. Proc. ICIAM 95, Hamburg, 1995.
    • (1995) Proc. ICIAM 95
    • Schmeiser, C.1    Zwirchmayr, A.2
  • 10
    • 0002224298 scopus 로고    scopus 로고
    • Convergence of moment methods for the semiconductor Boltzmann equation
    • Schmeiser, C.; Zwirchmayr, A. Convergence of Moment Methods for the Semiconductor Boltzmann Equation. SIAM J. Num. Anal. 1998, 36, 74-88.
    • (1998) SIAM J. Num. Anal. , vol.36 , pp. 74-88
    • Schmeiser, C.1    Zwirchmayr, A.2
  • 12
    • 0001961963 scopus 로고
    • Multidimensional spherical harmonics expansions for the Boltzmann equation for transport in semiconductors
    • Ventura, D.; Gnudi, A.; Baccarani, G.; Odeh, F. Multidimensional Spherical Harmonics Expansions for the Boltzmann Equation for Transport in Semiconductors. Appl. Math. Let. 1992, 5, 85-90.
    • (1992) Appl. Math. Let. , vol.5 , pp. 85-90
    • Ventura, D.1    Gnudi, A.2    Baccarani, G.3    Odeh, F.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.