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Volumn 219, Issue 2, 2006, Pages 477-488

Spectral convergence of the Hermite basis function solution of the Vlasov equation: The free-streaming term

Author keywords

Filamentation; Hermite basis functions; Recurrence; Spectral methods; Vlasov equation

Indexed keywords

FILAMENTATION; HERMITE BASIS FUNCTIONS; RECURRENCE; SPECTRAL METHODS;

EID: 33750630219     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.06.017     Document Type: Article
Times cited : (14)

References (20)
  • 1
    • 37649030415 scopus 로고    scopus 로고
    • Ion acceleration by beating electrostatic waves: domain of allowed acceleration
    • Spektor R., and Choueiri E.Y. Ion acceleration by beating electrostatic waves: domain of allowed acceleration. Phys. Rev. E 69 (2004) 046402
    • (2004) Phys. Rev. E , vol.69 , pp. 046402
    • Spektor, R.1    Choueiri, E.Y.2
  • 2
    • 1442269822 scopus 로고    scopus 로고
    • Ionospheric ion acceleration by multiple electrostatic waves
    • Ram A.K., Bers A., and Benisti D. Ionospheric ion acceleration by multiple electrostatic waves. J. Geophys. Res. 103 (1998) 9431-9440
    • (1998) J. Geophys. Res. , vol.103 , pp. 9431-9440
    • Ram, A.K.1    Bers, A.2    Benisti, D.3
  • 3
    • 0141609649 scopus 로고
    • Asymptotic theory of ion conic distributions
    • Crew G.B., and Chang T.S. Asymptotic theory of ion conic distributions. Phys. Fluids 28 (1985) 2382-2394
    • (1985) Phys. Fluids , vol.28 , pp. 2382-2394
    • Crew, G.B.1    Chang, T.S.2
  • 5
    • 23844440355 scopus 로고    scopus 로고
    • A numerical scheme for the integration of the Vlasov-Poisson system of equations in the magnetized case
    • Valentini F., Veltri P., and Mangeney A. A numerical scheme for the integration of the Vlasov-Poisson system of equations in the magnetized case. J. Comput. Phys. 210 (2005) 730-751
    • (2005) J. Comput. Phys. , vol.210 , pp. 730-751
    • Valentini, F.1    Veltri, P.2    Mangeney, A.3
  • 6
    • 33749805188 scopus 로고
    • Numerical studies of the nonlinear Vlasov equation
    • Armstrong T.P. Numerical studies of the nonlinear Vlasov equation. Phys. Fluids 10 (1967) 1269-1280
    • (1967) Phys. Fluids , vol.10 , pp. 1269-1280
    • Armstrong, T.P.1
  • 7
    • 0001370361 scopus 로고
    • The integration of the Vlasov equation in configuration space
    • Cheng C.Z., and Knorr B. The integration of the Vlasov equation in configuration space. J. Comput. Phys. 22 (1976) 330-351
    • (1976) J. Comput. Phys. , vol.22 , pp. 330-351
    • Cheng, C.Z.1    Knorr, B.2
  • 8
    • 0040077071 scopus 로고
    • Fourier-Hermite solutions of the Vlasov equations in the linearized limit
    • Grant F.C., and Feix M.R. Fourier-Hermite solutions of the Vlasov equations in the linearized limit. Phys. Fluids 10 (1967) 696-702
    • (1967) Phys. Fluids , vol.10 , pp. 696-702
    • Grant, F.C.1    Feix, M.R.2
  • 9
    • 33749739987 scopus 로고
    • Numerical integration methods of the Vlasov equation
    • Joyce G., Knorr G., and Meier H.K. Numerical integration methods of the Vlasov equation. J. Comput. Phys. 8 (1971) 53-63
    • (1971) J. Comput. Phys. , vol.8 , pp. 53-63
    • Joyce, G.1    Knorr, G.2    Meier, H.K.3
  • 10
    • 0039485362 scopus 로고
    • Plasma simulation as eigenvalue problem
    • Knorr G., and Shoucri M. Plasma simulation as eigenvalue problem. J. Comput. Phys. 14 (1974) 1-7
    • (1974) J. Comput. Phys. , vol.14 , pp. 1-7
    • Knorr, G.1    Shoucri, M.2
  • 11
    • 3743112086 scopus 로고
    • The recurrence of the initial state in the numerical solution of the Vlasov equation
    • Canosa J., Gazdag J., and Fromm J.E. The recurrence of the initial state in the numerical solution of the Vlasov equation. J. Comput. Phys. 15 (1974) 34-45
    • (1974) J. Comput. Phys. , vol.15 , pp. 34-45
    • Canosa, J.1    Gazdag, J.2    Fromm, J.E.3
  • 13
    • 0030540213 scopus 로고    scopus 로고
    • Spectral veloctiy discretizations for the Vlasov-Maxwell equations
    • Holloway J.P. Spectral veloctiy discretizations for the Vlasov-Maxwell equations. Trans. Theory Stat. Phys. 25 (1996) 1-32
    • (1996) Trans. Theory Stat. Phys. , vol.25 , pp. 1-32
    • Holloway, J.P.1
  • 14
    • 0010654724 scopus 로고    scopus 로고
    • Vlasov simulations using velocity-scaled Hermite representations
    • Schumer J.W., and Holloway J.P. Vlasov simulations using velocity-scaled Hermite representations. J. Comput. Phys. 144 (1998) 626-661
    • (1998) J. Comput. Phys. , vol.144 , pp. 626-661
    • Schumer, J.W.1    Holloway, J.P.2
  • 15
    • 0001290337 scopus 로고
    • The Hermite spectral method for Gaussian-type functions
    • Tang T. The Hermite spectral method for Gaussian-type functions. SIAM J. Sci. Comput. 14 (1993) 594-606
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 594-606
    • Tang, T.1
  • 16
    • 0001487943 scopus 로고    scopus 로고
    • A Fourier-Hermite pseudospectral method of penetrative convection
    • Tse K.L., and Chasnov J.R. A Fourier-Hermite pseudospectral method of penetrative convection. J. Comput. Phys. 142 (1998) 489-505
    • (1998) J. Comput. Phys. , vol.142 , pp. 489-505
    • Tse, K.L.1    Chasnov, J.R.2
  • 17
    • 0242500665 scopus 로고    scopus 로고
    • Instability of the filtering method for Vlasov's equation
    • Figua H., Bouchut F., Feix M.R., and Fijalkow E. Instability of the filtering method for Vlasov's equation. J. Comput. Phys. 159 (2000) 440-447
    • (2000) J. Comput. Phys. , vol.159 , pp. 440-447
    • Figua, H.1    Bouchut, F.2    Feix, M.R.3    Fijalkow, E.4
  • 18
    • 0000404759 scopus 로고
    • A method for overcoming the velocity space filamentation problem in collisionless plasma model solutions
    • Klimas A.J. A method for overcoming the velocity space filamentation problem in collisionless plasma model solutions. J. Comput. Phys. 68 (1987) 202-226
    • (1987) J. Comput. Phys. , vol.68 , pp. 202-226
    • Klimas, A.J.1
  • 19
    • 35949016212 scopus 로고
    • Electric field dependence of transient electron transport properties in rare-gas moderators
    • Shizgal B., and McMahon D.R.A. Electric field dependence of transient electron transport properties in rare-gas moderators. Phys. Rev. A 32 (1985) 3669-3690
    • (1985) Phys. Rev. A , vol.32 , pp. 3669-3690
    • Shizgal, B.1    McMahon, D.R.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.