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Volumn 46, Issue 10-11, 2003, Pages 1683-1690

Entropy decay of discretized Fokker-Planck equations I - Temporal semidiscretization

Author keywords

Exponential decay rate; Fokker Planck equation; Logarithmic Sobolev inequality; Relative entropy

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTION EVALUATION; MATRIX ALGEBRA; PROBLEM SOLVING;

EID: 0346777245     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)90202-1     Document Type: Article
Times cited : (13)

References (7)
  • 1
    • 0002042431 scopus 로고    scopus 로고
    • On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations
    • A. Arnold, P. Markowich, G. Toscani and A. Unterreiter, On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations, Comm. PDE 26 (1-2), 43-100, (2001).
    • (2001) Comm. PDE , vol.26 , Issue.1-2 , pp. 43-100
    • Arnold, A.1    Markowich, P.2    Toscani, G.3    Unterreiter, A.4
  • 2
    • 0038243436 scopus 로고    scopus 로고
    • On the trend to equilibrium for the Fokker-Planck equation: An interplay between physics and functional analysis
    • P.A. Markowich and C. Villani, On the trend to equilibrium for the Fokker-Planck equation: An interplay between physics and functional analysis, Matematica Contemporanea (SBM) 19, 1-31, (2000).
    • (2000) Matematica Contemporanea (SBM) , vol.19 , pp. 1-31
    • Markowich, P.A.1    Villani, C.2
  • 3
    • 21344479554 scopus 로고
    • An entropic scheme for the Fokker-Planck collision operator of plasma kinetic theory
    • P. Degond and B. Lucquin-Desreux, An entropic scheme for the Fokker-Planck collision operator of plasma kinetic theory, Numer. Math. 68 (2), 239-262, (1994).
    • (1994) Numer. Math. , vol.68 , Issue.2 , pp. 239-262
    • Degond, P.1    Lucquin-Desreux, B.2
  • 4
    • 0039498698 scopus 로고    scopus 로고
    • Conservative and entropy decaying numerical scheme for the isotropic Fokker-Planck-Landau equation
    • C. Buet and S. Cordier, Conservative and entropy decaying numerical scheme for the isotropic Fokker-Planck-Landau equation, J. Comp. Phys. 145, 228-245, (1998).
    • (1998) J. Comp. Phys. , vol.145 , pp. 228-245
    • Buet, C.1    Cordier, S.2
  • 5
    • 0035453010 scopus 로고    scopus 로고
    • Numerical solution of an ionic Fokker-Planck equation with electronic temperature
    • C. Buet, S. Dellacherie and R. Sentis, Numerical solution of an ionic Fokker-Planck equation with electronic temperature, SIAM J. Numer. Anal. 39 (4), 1219-1253, (2001).
    • (2001) SIAM J. Numer. Anal. , vol.39 , Issue.4 , pp. 1219-1253
    • Buet, C.1    Dellacherie, S.2    Sentis, R.3
  • 6
    • 0001429116 scopus 로고
    • Logarithmic Sobolev inequalities
    • L. Gross, Logarithmic Sobolev inequalities, Amer. J. of Math. 97, 1061-1083, (1975).
    • (1975) Amer. J. of Math. , vol.97 , pp. 1061-1083
    • Gross, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.