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Volumn 145, Issue 1, 1998, Pages 228-245

Conservative and Entropy Decaying Numerical Scheme for the Isotropic Fokker-Planck-Landau Equation

(2)  Buet, C a   Cordier, S b  

b CNRS   (France)

Author keywords

Cauchy problem; Entropy; Fokker Planck Landau equation; Kinetic models; Numerical scheme; System of ordinary differential equations

Indexed keywords

DISTRIBUTION FUNCTIONS; FOKKER PLANCK EQUATION; ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0039498698     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.6015     Document Type: Article
Times cited : (55)

References (20)
  • 1
    • 0011004948 scopus 로고
    • On the existence of a generalized solution of Landau's equation
    • Arsene'v A. A., Peskov N. V. On the existence of a generalized solution of Landau's equation. USSR Comput. Maths Math. Phys. 17:1977;241.
    • (1977) USSR Comput. Maths Math. Phys. , vol.17 , pp. 241
    • Arsene'V, A.A.1    Peskov, N.V.2
  • 2
    • 0001575743 scopus 로고
    • Conservative finite difference schemes for the Fokker-Planck equation not violating the law of an increasing entropy
    • Berezin Yu. A., Khudick V. N., Pekker M. S. Conservative finite difference schemes for the Fokker-Planck equation not violating the law of an increasing entropy. J. Comput. Phys. 69:1987;163.
    • (1987) J. Comput. Phys. , vol.69 , pp. 163
    • Berezin Yu., A.1    Khudick, V.N.2    Pekker, M.S.3
  • 3
    • 0001288577 scopus 로고
    • On the generalization of the Boltzmann H-theorem for a spatially homogeneous Maxwell gas
    • Bobylev A. V., Toscani G. On the generalization of the Boltzmann H-theorem for a spatially homogeneous Maxwell gas. J. Math. Phys. 33:1992;7.
    • (1992) J. Math. Phys. , vol.33 , pp. 7
    • Bobylev, A.V.1    Toscani, G.2
  • 4
    • 85030047136 scopus 로고    scopus 로고
    • Numerical analysis of conservatives and entropy schemes for the Fokker-Planck-Landau equation
    • C. Buet, S. Cordier, Numerical analysis of conservatives and entropy schemes for the Fokker-Planck-Landau equation, SIAM J. Numer. Anal.
    • SIAM J. Numer. Anal.
    • Buet, C.1    Cordier, S.2
  • 5
  • 6
    • 0001625099 scopus 로고
    • Numerical integration of the Fokker-Planck equation and the evolution of stars clusters
    • Cohn H. Numerical integration of the Fokker-Planck equation and the evolution of stars clusters. Astrophys. J. 234:1979;1036.
    • (1979) Astrophys. J. , vol.234 , pp. 1036
    • Cohn, H.1
  • 7
    • 0000006668 scopus 로고
    • Late core collapse in star clusters and the gravothermal instability
    • Cohn H. Late core collapse in star clusters and the gravothermal instability. Astrophys. J. 242:1980;765.
    • (1980) Astrophys. J. , vol.242 , pp. 765
    • Cohn, H.1
  • 8
    • 21344479554 scopus 로고
    • An entropy scheme for the Fokker-Planck collision of plasma kinetic theory
    • Degond P., Lucquin-Desreux B. An entropy scheme for the Fokker-Planck collision of plasma kinetic theory. Numer. Math. 68:1994;239.
    • (1994) Numer. Math. , vol.68 , pp. 239
    • Degond, P.1    Lucquin-Desreux, B.2
  • 9
    • 85190273627 scopus 로고    scopus 로고
    • On the spatially homogeneous Landau equation for hard potentials. Part I
    • DMI, ENS de Paris
    • L. Desvillettes, C. Villani, On the spatially homogeneous Landau equation for hard potentials. Part I. Existence, uniqueness, and smoothness, DMI, ENS de Paris.
    • Existence, Uniqueness, and Smoothness
    • Desvillettes, L.1    Villani, C.2
  • 10
    • 85190281831 scopus 로고    scopus 로고
    • On the spatially homogeneous Landau equation for hard potentials. Part II.
    • DMI, ENS de Paris
    • L. Desvillettes, C. Villani, On the spatially homogeneous Landau equation for hard potentials. Part II. H-theorem and applications, DMI, ENS de Paris.
    • H-theorem and Applications
    • Desvillettes, L.1    Villani, C.2
  • 12
    • 0001570756 scopus 로고
    • Kinetic Simulations of a plasma collision experiment
    • Larroche O. Kinetic Simulations of a plasma collision experiment. Phys. Fluids B. 5:1993.
    • (1993) Phys. Fluids B , vol.5
    • Larroche, O.1
  • 13
    • 0001395574 scopus 로고
    • Exact solutions of the Fokker-Planck equation
    • Lemou M. Exact solutions of the Fokker-Planck equation. C.R. Acad. Sci. Ser. 1. 319:1994;579.
    • (1994) C.R. Acad. Sci. Ser. 1 , vol.319 , pp. 579
    • Lemou, M.1
  • 16
    • 0000045474 scopus 로고
    • Discrétisation de l'opérateur de Fokker-Planck dans le cas homogène
    • Lucquin-Desreux B. Discrétisation de l'opérateur de Fokker-Planck dans le cas homogène. C.R. Acad. Sci. Paris Sér. 1, A. 314:1992;407.
    • (1992) C.R. Acad. Sci. Paris Sér. 1, a , vol.314 , pp. 407
    • Lucquin-Desreux, B.1
  • 17
    • 0001425190 scopus 로고
    • Conservative difference schemes for the Fokker-Planck equation
    • Pekker M. S., Khudik V. N. Conservative difference schemes for the Fokker-Planck equation. U.S.S.R. Comput. Math. Math. Phys. 24:1984;206.
    • (1984) U.S.S.R. Comput. Math. Math. Phys. , vol.24 , pp. 206
    • Pekker, M.S.1    Khudik, V.N.2
  • 18
    • 0000404135 scopus 로고
    • A completely conservative difference scheme for the two-dimensional Landau equation
    • Potapenko I. F., Chuyanov V. A. A completely conservative difference scheme for the two-dimensional Landau equation. U.S.S.R. Comput. Math. Math. Phys. 20:1980;249.
    • (1980) U.S.S.R. Comput. Math. Math. Phys. , vol.20 , pp. 249
    • Potapenko, I.F.1    Chuyanov, V.A.2
  • 19
    • 13344285436 scopus 로고
    • Fokker-Planck equation for an inverse-square force
    • Rosenbluth M. N., Macdonald W., Judd D. L. Fokker-Planck equation for an inverse-square force. Phys. Rev. 107:1957;1.
    • (1957) Phys. Rev. , vol.107 , pp. 1
    • Rosenbluth, M.N.1    MacDonald, W.2    Judd, D.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.