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Volumn 11, Issue 6, 2001, Pages 1081-1100

Error estimate for a splitting method applied to convection-reaction equations

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EID: 0035646242     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202501001276     Document Type: Article
Times cited : (7)

References (13)
  • 2
    • 0000583242 scopus 로고
    • Numerical viscosity and convergence of finite volume methods for conservation laws with boundary conditions
    • S. Benharbit, A. Chalabi and J. P. Vila, Numerical viscosity and convergence of finite volume methods for conservation laws with boundary conditions, SIAM J. Numer. Anal. 32 (1995) 775-796.
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 775-796
    • Benharbit, S.1    Chalabi, A.2    Vila, J.P.3
  • 3
    • 22044436683 scopus 로고    scopus 로고
    • Kruzkov's estimates for scalar conservation laws revisited
    • F. Bouchut and B. Perthame, Kruzkov's estimates for scalar conservation laws revisited, Trans. Am. Math. Soc. 350 (1998) 2847-2870.
    • (1998) Trans. Am. Math. Soc. , vol.350 , pp. 2847-2870
    • Bouchut, F.1    Perthame, B.2
  • 5
    • 84956238079 scopus 로고
    • First order quasilinear equations with several space variables
    • S. N. Kruzkov, First order quasilinear equations with several space variables, Math. USSR 10 (1970) 217-243.
    • (1970) Math. USSR , vol.10 , pp. 217-243
    • Kruzkov, S.N.1
  • 6
    • 0000078308 scopus 로고    scopus 로고
    • On the convergence of operator splitting applied to conservation laws with source terms
    • J. O. Langseth, A. Tveito and R. Winther, On the convergence of operator splitting applied to conservation laws with source terms, SIAM J. Numer. Anal. 33 (1996) 843-863.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 843-863
    • Langseth, J.O.1    Tveito, A.2    Winther, R.3
  • 8
    • 0000234101 scopus 로고    scopus 로고
    • Initial-boundary value problem for a scalar conservation law
    • F. Otto, Initial-boundary value problem for a scalar conservation law, C. R. Acad. Sci. Paris 1 (1996) 729-734.
    • (1996) C. R. Acad. Sci. Paris , vol.1 , pp. 729-734
    • Otto, F.1
  • 9
    • 0032325185 scopus 로고    scopus 로고
    • Uniqueness and error estimates in first order quasilinear conservation laws via the kinetic entropy defect measure
    • B. Perthame, Uniqueness and error estimates in first order quasilinear conservation laws via the kinetic entropy defect measure, J. Math. Pures Appl. 77 (1998) 1055-1064.
    • (1998) J. Math. Pures Appl. , vol.77 , pp. 1055-1064
    • Perthame, B.1
  • 10
    • 0041365485 scopus 로고    scopus 로고
    • Splitting method applied to hyperbolic problem with source term
    • F. Peyroutet, Splitting method applied to hyperbolic problem with source term, Appl. Math. Lett. 14 (2001) 99-104.
    • (2001) Appl. Math. Lett. , vol.14 , pp. 99-104
    • Peyroutet, F.1
  • 11
    • 0000189454 scopus 로고    scopus 로고
    • The optimal convergence rate of monotone finite difference methods for hyperbolic conservation laws
    • F. Sabac, The optimal convergence rate of monotone finite difference methods for hyperbolic conservation laws, SIAM J. Numer. Anal. 34 (1996) 2306-2318.
    • (1996) SIAM J. Numer. Anal. , vol.34 , pp. 2306-2318
    • Sabac, F.1
  • 12
    • 84968519569 scopus 로고
    • 1-error estimate for monotone difference schemes
    • 1-error estimate for monotone difference schemes, Math. Comp. 64 (1995) 581-589.
    • (1995) Math. Comp. , vol.64 , pp. 581-589
    • Tang, T.1    Teng, Z.-H.2
  • 13
    • 0001613507 scopus 로고
    • Convergence and error estimates in finite volume schemes for general multidimensional scalar conservation laws
    • J. P. Vila, Convergence and error estimates in finite volume schemes for general multidimensional scalar conservation laws, Math. Models. Numer. Anal. 28 (1994) 267-295.
    • (1994) Math. Models. Numer. Anal. , vol.28 , pp. 267-295
    • Vila, J.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.