메뉴 건너뛰기




Volumn 142, Issue 2, 1998, Pages 155-176

Error bounds for a deterministic version of the Glimm scheme

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032368217     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002050050088     Document Type: Article
Times cited : (31)

References (14)
  • 1
    • 0001535322 scopus 로고
    • Contractive metrics for nonlinear hyperbolic systems
    • A. BRESSAN, Contractive metrics for nonlinear hyperbolic systems, Indiana Univ. Math. J. 37 (1988), 409-421.
    • (1988) Indiana Univ. Math. J. , vol.37 , pp. 409-421
    • Bressan, A.1
  • 2
    • 38249009129 scopus 로고
    • Global solutions to systems of conservation laws by wave-front tracking
    • A. BRESSAN, Global solutions to systems of conservation laws by wave-front tracking, J. Math. Anal. Appl. 170 (1992). 414-432.
    • (1992) J. Math. Anal. Appl. , vol.170 , pp. 414-432
    • Bressan, A.1
  • 3
    • 38249001189 scopus 로고
    • A contractive metric for systems of conservation laws with coinciding shock and rarefaction waves
    • A. BRESSAN, A contractive metric for systems of conservation laws with coinciding shock and rarefaction waves, J. Diff. Eqns. 106 (1993), 332-366.
    • (1993) J. Diff. Eqns. , vol.106 , pp. 332-366
    • Bressan, A.1
  • 4
    • 21844524094 scopus 로고
    • The unique limit of the Glimm scheme
    • A. BRESSAN, The unique limit of the Glimm scheme, Arch. Rational Mech. Anal. 130 (1995), 205-230.
    • (1995) Arch. Rational Mech. Anal. , vol.130 , pp. 205-230
    • Bressan, A.1
  • 5
    • 0002938448 scopus 로고    scopus 로고
    • The semigroup approach to systems of conservation laws
    • A. BRESSAN, The semigroup approach to systems of conservation laws, Matemática Contemporanea 10 (1996), 21-74.
    • (1996) Matemática Contemporanea , vol.10 , pp. 21-74
    • Bressan, A.1
  • 6
    • 0041025418 scopus 로고    scopus 로고
    • Well-posedness of the Cauchy problem for n × n conservation laws
    • to appear
    • A. BRESSAN, G. CRASTA & B. PICCOLI, Well-posedness of the Cauchy problem for n × n conservation laws, Amer. Math. Soc. Memoir, to appear.
    • Amer. Math. Soc. Memoir
    • Bressan, A.1    Crasta, G.2    Piccoli, B.3
  • 7
    • 34247463858 scopus 로고    scopus 로고
    • The semigroup generated by 2 × 2 systems of conservation laws
    • A. BRESSAN & R. M. COLOMBO, The semigroup generated by 2 × 2 systems of conservation laws, Arch. Rational Mech. Anal. 133 (1996), 1-75.
    • (1996) Arch. Rational Mech. Anal. , vol.133 , pp. 1-75
    • Bressan, A.1    Colombo, R.M.2
  • 8
    • 84981759861 scopus 로고
    • Solutions in the large for nonlinear hyperbolic systems of equations
    • J. GLIMM, Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure Appl. Math. 18 (1965), 697-715.
    • (1965) Comm. Pure Appl. Math. , vol.18 , pp. 697-715
    • Glimm, J.1
  • 9
    • 0003325997 scopus 로고
    • Decay of solutions of systems of hyperbolic conservation laws
    • Providence
    • J. GLIMM & P. LAX, Decay of solutions of systems of hyperbolic conservation laws, Amer. Math. Soc. Memoir 101, Providence, 1970.
    • (1970) Amer. Math. Soc. Memoir , vol.101
    • Glimm, J.1    Lax, P.2
  • 10
    • 84966204199 scopus 로고
    • Error bounds for Glimm difference approximations for scalar conservation laws
    • D. HOFF & J. SMOLLER, Error bounds for Glimm difference approximations for scalar conservation laws, Trans. Amer. Math. Soc. 289 (1985), 611-645.
    • (1985) Trans. Amer. Math. Soc. , vol.289 , pp. 611-645
    • Hoff, D.1    Smoller, J.2
  • 11
    • 0001406099 scopus 로고
    • The deterministic version of the Glimm scheme
    • T. P. LIU, The deterministic version of the Glimm scheme, Comm. Math. Phys. 57 (1975), 135-148.
    • (1975) Comm. Math. Phys. , vol.57 , pp. 135-148
    • Liu, T.P.1
  • 12
    • 0022387804 scopus 로고
    • Error bounds for the methods of Glimm, Godunov and LeVeque
    • B. J. LUCIER, Error bounds for the methods of Glimm, Godunov and LeVeque, SIAM J. Numer. Anal. 22 (1985), 1074-1081.
    • (1985) SIAM J. Numer. Anal. , vol.22 , pp. 1074-1081
    • Lucier, B.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.