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Numerische Mathematik
Volumn 73, Issue 1, 1996, Pages 119-130
On positivity preserving finite volume schemes for Euler equations
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EID: 0030530384     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050187     Document Type: Article
Times cited : (205)
References (13)
  • 1
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    • Cockburn, B., Shu, C.-W. (1989): TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework. Math. Comput. 52, 411-435
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    • Cockburn, B.1    Shu, C.-W.2
  • 2
    • 84966261380 scopus 로고
    • The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: The multidimensional case
    • Cockburn, B., Hou, S., Shu, C.-W. (1990): The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multidimensional case. Math. Comput. 54, 545-581
    • (1990) Math. Comput. , vol.54 , pp. 545-581
    • Cockburn, B.1    Hou, S.2    Shu, C.-W.3
  • 3
    • 0027608674 scopus 로고
    • The finite volume method on general triangulations converges to general conservation laws
    • Preprint
    • Coquel, F., LeFloch, P. (1993): The finite volume method on general triangulations converges to general conservation laws. Preprint (see also SIAM J. Num. Anal. 30, 675-700)
    • (1993) SIAM J. Num. Anal. , vol.30 , pp. 675-700
    • Coquel, F.1    LeFloch, P.2
  • 5
    • 0000876320 scopus 로고
    • On upstream differencing and Godunov type schemes for hyperbolic conservation laws
    • Harten, A., Lax, P., van Leer, B. (1983): On upstream differencing and Godunov type schemes for hyperbolic conservation laws. SIAM Review 25, 35-61
    • (1983) SIAM Review , vol.25 , pp. 35-61
    • Harten, A.1    Lax, P.2    Van Leer, B.3
  • 6
    • 33749725182 scopus 로고
    • Uniformly high order essentially non-oscillatory schemes, III
    • Harten, A., Engquist, B., Osher, S., Chakravarthy, S. (1987): Uniformly high order essentially non-oscillatory schemes, III. J. Comput. Phys. 71, 231-303
    • (1987) J. Comput. Phys. , vol.71 , pp. 231-303
    • Harten, A.1    Engquist, B.2    Osher, S.3    Chakravarthy, S.4
  • 7
    • 84968497598 scopus 로고
    • Maximum principle on the entropy and minimal limitations for kinetic schemes
    • Khobalatte, B., Perthame, B. (1994): Maximum principle on the entropy and minimal limitations for kinetic schemes. Math. Comput. 62(205), 119-131
    • (1994) Math. Comput. , vol.62 , Issue.205 , pp. 119-131
    • Khobalatte, B.1    Perthame, B.2
  • 8
    • 0026818681 scopus 로고
    • Second order Boltzmann schemes for compressible Euler equations in one and two space variables
    • Perthame, B. (1992): Second order Boltzmann schemes for compressible Euler equations in one and two space variables. SIAM J. Numer. Anal. 29, 1-19
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 1-19
    • Perthame, B.1
  • 9
    • 0008511497 scopus 로고    scopus 로고
    • A variant of van Leer's method for multidimensional systems of conservation laws
    • To appear
    • Perthame, B., Qiu, Y.: A variant of van Leer's method for multidimensional systems of conservation laws. To appear in J. Comput. Phys.
    • J. Comput. Phys.
    • Perthame, B.1    Qiu, Y.2
  • 10
    • 0039235442 scopus 로고    scopus 로고
    • private communication
    • Sanders, R.: private communication.
    • Sanders, R.1
  • 11
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock capturing scheme
    • Shu, C.-W., Osher, S. (1988): Efficient implementation of essentially non-oscillatory shock capturing scheme. J. Comput. Phys. 77, 439-471
    • (1988) J. Comput. Phys. , vol.77 , pp. 439-471
    • Shu, C.-W.1    Osher, S.2
  • 12
    • 0012531876 scopus 로고
    • Convergence of a streamline diffusion finite element method for scalar conservation laws with boundary conditions
    • Szepessy, A. (1991): Convergence of a streamline diffusion finite element method for scalar conservation laws with boundary conditions. Math. Model. and Num. Amal. 25, 749-782
    • (1991) Math. Model. and Num. Amal. , vol.25 , pp. 749-782
    • Szepessy, A.1
  • 13
    • 0022796245 scopus 로고
    • A minimum entropy principle in the gas dynamics equations
    • Tadmor, E. (1986): A minimum entropy principle in the gas dynamics equations. Appl. Num. Math. 2, 211-219
    • (1986) Appl. Num. Math. , vol.2 , pp. 211-219
    • Tadmor, E.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.