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Volumn 35, Issue 2, 1998, Pages 749-772

Discrete shocks for finite difference approximations to scalar conservation laws

Author keywords

Conservation law; Discrete shock; Weighted ENO

Indexed keywords


EID: 0012531036     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0036142996307090     Document Type: Article
Times cited : (15)

References (13)
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  • 4
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    • Efficient implementation of Weighted ENO schemes
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  • 5
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    • Liu, J.1    Xin, Z.2
  • 6
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    • Continuum shock profiles for discrete conservation laws I: Construction
    • submitted
    • T.-P. LIU AND S.-H. Yu, Continuum shock profiles for discrete conservation laws I: Construction, Comm. Pure Appl. Math., submitted.
    • Comm. Pure Appl. Math.
    • Liu, T.-P.1    Yu, S.-H.2
  • 7
    • 84980189991 scopus 로고
    • Discrete shock profiles for systems of conservation laws
    • A. MAJDA AND J. RALSTON, Discrete shock profiles for systems of conservation laws, Comm. Pure Appl. Math., 32 (1979), pp. 445-482.
    • (1979) Comm. Pure Appl. Math. , vol.32 , pp. 445-482
    • Majda, A.1    Ralston, J.2
  • 8
    • 0001588173 scopus 로고
    • Discrete shocks for difference approximations to system of conservation laws
    • D. MICHAELSON, Discrete shocks for difference approximations to system of conservation laws, Adv. Appl. Math., 5 (1984), pp. 433-469.
    • (1984) Adv. Appl. Math. , vol.5 , pp. 433-469
    • Michaelson, D.1
  • 9
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    • Efficient implementation of essentially non-oscillatory shock-capturing schemes
    • C.-W. SHU AND S. OSHER, Efficient implementation of essentially non-oscillatory shock-capturing schemes, J. Comput. Phys., 77 (1988), pp. 439-471.
    • (1988) J. Comput. Phys. , vol.77 , pp. 439-471
    • Shu, C.-W.1    Osher, S.2
  • 10
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    • Existence and stability of stationary profiles of the LW scheme
    • Y. SMYLRIS, Existence and stability of stationary profiles of the LW scheme, Comm. Pure Appl. Math., 42 (1990), pp. 509-545.
    • (1990) Comm. Pure Appl. Math. , vol.42 , pp. 509-545
    • Smylris, Y.1
  • 12
    • 0000752956 scopus 로고    scopus 로고
    • 2-rate of convergence for the viscosity method and monotone scheme to piecewise constant solutions with shocks
    • 2-rate of convergence for the viscosity method and monotone scheme to piecewise constant solutions with shocks, SIAM J. Numer. Anal., 34 (1997), pp. 959-978.
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 959-978
    • Teng, Z.-H.1    Zhang, P.-W.2
  • 13
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    • Existence of discrete shock profiles for the Lax-Wendroff scheme
    • to appear
    • S.-H. Yu, Existence of discrete shock profiles for the Lax-Wendroff scheme, J. Dynamics Differential Equation, to appear.
    • J. Dynamics Differential Equation
    • Yu, S.-H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.