메뉴 건너뛰기




Volumn 48, Issue 1, 1999, Pages 347-364

Convergence of a Semi-Discrete Kinetic Scheme for the System of Isentropic Gas Dynamics with γ = 3

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0005688269     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (16)

References (18)
  • 1
    • 0000186090 scopus 로고
    • Spaces of functions with differential-difference charateristics and the smoothnes of solutions of the transport equation
    • V. I. AGOSHKOV, Spaces of functions with differential-difference charateristics and the smoothnes of solutions of the transport equation, Sov. Math. Dokl. 29 (1984) 662-666.
    • (1984) Sov. Math. Dokl. , vol.29 , pp. 662-666
    • Agoshkov, V.I.1
  • 2
    • 84875121886 scopus 로고    scopus 로고
    • personal communication
    • Y. BRENIER, personal communication.
    • Brenier, Y.1
  • 3
    • 0000337570 scopus 로고
    • Résolution d'équations d'évolution quasilináires en dimension N d'espace à l'aide d'équations linéaires en dimension N + 1
    • _, Résolution d'équations d'évolution quasilináires en dimension N d'espace à l'aide d'équations linéaires en dimension N + 1, J. Diff. Equ. 50 (1983) 375-390.
    • (1983) J. Diff. Equ. , vol.50 , pp. 375-390
  • 4
    • 0021563988 scopus 로고
    • Averaged multivalued solutions for scalar conservation laws
    • _, Averaged multivalued solutions for scalar conservation laws, S.I.A.M. J. Numer. Anal. 21 (1984) 1013-1037.
    • (1984) S.I.A.M. J. Numer. Anal. , vol.21 , pp. 1013-1037
  • 5
    • 0001183792 scopus 로고    scopus 로고
    • A kinetic formulation for multi-branch entropy solution of scalar conservation laws
    • _ & L. CORRIAS, A kinetic formulation for multi-branch entropy solution of scalar conservation laws, Ann. Inst. H. Poincaré Anal. Non Linéaire 15(2) (1998), 169-190.
    • (1998) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.15 , Issue.2 , pp. 169-190
    • Corrias, L.1
  • 7
    • 84968510911 scopus 로고
    • Numerical solutions of the Navier-Stokes equations
    • A. CHORIN, Numerical solutions of the Navier-Stokes equations, Math. Comp. 22 (1968) 745-762.
    • (1968) Math. Comp. , vol.22 , pp. 745-762
    • Chorin, A.1
  • 8
    • 84875087777 scopus 로고
    • On the convergence of splitting algorithms for Boltzmann and B. G. K. equations
    • L. DESVILLETTES & S. MISCHLER, On the convergence of splitting algorithms for Boltzmann and B. G. K. equations, to appear in Math. Meth. and Mod. Appl. Sc., (1994).
    • (1994) Math. Meth. and Mod. Appl. Sc.
    • Desvillettes, L.1    Mischler, S.2
  • 10
    • 84972568146 scopus 로고
    • A kinetic construction of global solutions of first order quasilinear equations
    • Y. GIGA & T. MIYAKAWA, A kinetic construction of global solutions of first order quasilinear equations, Duke Math. J. 50 (1983) 505-515.
    • (1983) Duke Math. J. , vol.50 , pp. 505-515
    • Giga, Y.1    Miyakawa, T.2
  • 11
    • 0000053323 scopus 로고
    • Un résultat de compacité pour les équations de trnasport
    • F. GOLSE, B. PERTHAME & R. SENTIS, Un résultat de compacité pour les équations de trnasport, C. R. Acad. Sci. Paris 301 (1985) 341-344.
    • (1985) C. R. Acad. Sci. Paris , vol.301 , pp. 341-344
    • Golse, F.1    Perthame, B.2    Sentis, R.3
  • 12
    • 0000876320 scopus 로고
    • On upstream differencing and godunov-type schemes for hyperbolic conservation laws
    • A. HARTEN, P. LAX & B. VAN LEER, On upstream differencing and godunov-type schemes for hyperbolic conservation laws, S.I.A.M. Rev. 25 (1983) 35-61.
    • (1983) S.I.A.M. Rev. , vol.25 , pp. 35-61
    • Harten, A.1    Lax, P.2    Van Leer, B.3
  • 13
    • 84875116715 scopus 로고
    • Transport approach for compressible flow
    • Computing methods in applied sciences and engineering
    • S. KANIEL & J. FALCOVITZ, Transport approach for compressible flow, in Computing methods in applied sciences and engineering (Proc. Fourth Internat. Sympos. Versailles, 1979) (1980) 133-151.
    • (1979) Proc. Fourth Internat. Sympos. Versailles , pp. 133-151
    • Kaniel, S.1    Falcovitz, J.2
  • 14
    • 0011413484 scopus 로고
    • Second order accuracy of Brenier's time-discrete method for nonlinear systems of conservation laws
    • R. J. LEVEQUE, Second order accuracy of Brenier's time-discrete method for nonlinear systems of conservation laws, S.I.A.M. J. Num. Anal. 25 (1988) 1-7.
    • (1988) S.I.A.M. J. Num. Anal. , vol.25 , pp. 1-7
    • Leveque, R.J.1
  • 15
    • 84968518243 scopus 로고
    • A kinetic formulation of multidimensional scalar conservation laws and related equations
    • P. L. LIONS, B. PERTHAME & E. TADMOR, A kinetic formulation of multidimensional scalar conservation laws and related equations, J. Amer. Math. Soc. 7 (1994) 169-191.
    • (1994) J. Amer. Math. Soc. , vol.7 , pp. 169-191
    • Lions, P.L.1    Perthame, B.2    Tadmor, E.3
  • 16
    • 34249763254 scopus 로고
    • Kinetic formulation of the isentropic gas dynamics and p-systems
    • _, Kinetic formulation of the isentropic gas dynamics and p-systems, Commun. Math. Phys. 163 (1994) 415-431.
    • (1994) Commun. Math. Phys. , vol.163 , pp. 415-431
  • 18
    • 84875122739 scopus 로고    scopus 로고
    • Kinetic semi-discretization of scalar conservation laws and convergence by using averaging lemmas
    • to appear
    • A. VASSEUR, Kinetic semi-discretization of scalar conservation laws and convergence by using averaging lemmas, SINUM (to appear).
    • SINUM
    • Vasseur, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.