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Communications on Pure and Applied Mathematics
Volumn 52, Issue 9, 1999, Pages 1047-1073
Continuum shock profiles for discrete conservation laws II: Stability
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EID: 0033437456     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0312(199909)52:9<1047::AID-CPA1>3.0.CO;2-4     Document Type: Article
Times cited : (16)
References (10)
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    • (1997) J. Comput. Phys. , vol.130 , Issue.1 , pp. 25-40
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  • 2
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    • Newton's method and periodic solutions of nonlinear wave equations
    • Craig, W.; Wayne, E. Newton's method and periodic solutions of nonlinear wave equations. Comm. Pure Appl. Math. 46 (1993), no. 11, 1409-1498.
    • (1993) Comm. Pure Appl. Math. , vol.46 , Issue.11 , pp. 1409-1498
    • Craig, W.1    Wayne, E.2
  • 3
    • 0030188150 scopus 로고    scopus 로고
    • The effects of numerical viscosities. I. Slowly moving shocks
    • Jin S.; Liu, J.-G. The effects of numerical viscosities. I. Slowly moving shocks. J. Comput. Phys. 126 (1996), no. 2, 373-389.
    • (1996) J. Comput. Phys. , vol.126 , Issue.2 , pp. 373-389
    • Jin, S.1    Liu, J.-G.2
  • 4
    • 84980077727 scopus 로고
    • Hyperbolic systems of conservation laws. II
    • Lax, P. Hyperbolic systems of conservation laws. II. Comm. Pure Appl. Math. 10 (1957), 537-566.
    • (1957) Comm. Pure Appl. Math. , vol.10 , pp. 537-566
    • Lax, P.1
  • 5
    • 84968488170 scopus 로고
    • 1-stability of stationary discrete shocks
    • 1-stability of stationary discrete shocks. Math. Comp. 60 (1993), no. 201, 233-244.
    • (1993) Math. Comp. , vol.60 , Issue.201 , pp. 233-244
    • Liu, J.-G.1    Xin, Z.P.2
  • 6
    • 0031531481 scopus 로고    scopus 로고
    • Pointwise convergence to shock waves for viscous conservation laws
    • Liu, T.-P. Pointwise convergence to shock waves for viscous conservation laws. Comm. Pure Appl. Math. 50 (1997), no. 11, 1113-1182.
    • (1997) Comm. Pure Appl. Math. , vol.50 , Issue.11 , pp. 1113-1182
    • Liu, T.-P.1
  • 7
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    • Continuum shock profiles for discrete conservation laws I: Construction
    • Liu, T.-P.; Yu, S.-H. Continuum shock profiles for discrete conservation laws I: Construction. Comm. Pure Appl. Math. 52 (1999), no. 1, 85-127.
    • (1999) Comm. Pure Appl. Math. , vol.52 , Issue.1 , pp. 85-127
    • Liu, T.-P.1    Yu, S.-H.2
  • 8
    • 84980189991 scopus 로고
    • Discrete shock profiles for systems of conservation laws
    • Madja, A.; Ralston, J. Discrete shock profiles for systems of conservation laws. Comm. Pure Appl. Math. 32 (1979), no. 4, 445-482.
    • (1979) Comm. Pure Appl. Math. , vol.32 , Issue.4 , pp. 445-482
    • Madja, A.1    Ralston, J.2
  • 9
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    • Remarks about the discrete profiles of shock waves. Fourth workshop on partial differential equations, part II (Rio de Janeiro, 1995)
    • Serre, D. Remarks about the discrete profiles of shock waves. Fourth Workshop on Partial Differential Equations, Part II (Rio de Janeiro, 1995). Mat. Contemp. 11 (1996), 153-170.
    • (1996) Mat. Contemp. , vol.11 , pp. 153-170
    • Serre, D.1
  • 10
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    • Asymptotic stability of discrete shock waves for the Lax-Friedrichs scheme to hyperbolic systems of conservation laws
    • Ying, L. Asymptotic stability of discrete shock waves for the Lax-Friedrichs scheme to hyperbolic systems of conservation laws. Japan J. Indust. Appl. Math. 14 (1997), no. 3, 437-468.
    • (1997) Japan J. Indust. Appl. Math. , vol.14 , Issue.3 , pp. 437-468
    • Ying, L.1

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