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Mathematics of Computation
Volumn 43, Issue 168, 1984, Pages 369-381
Numerical viscosity and the entropy condition for conservative difference schemes
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EID: 84966249400     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1984-0758189-X     Document Type: Article
Times cited : (180)
References (12)
  • 1
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    • Crandall, M.1    Majda, A.2
  • 2
    • 84980087271 scopus 로고
    • Symmetric hyperbolic linear differential equations
    • K. O. Friedrichs, "Symmetric hyperbolic linear differential equations, " Comm. Pure Appl. Math., v. 7, 1954, p. 345-392.
    • (1954) Comm. Pure Appl. Math , vol.7 , pp. 345-392
    • Friedrichs, K.O.1
  • 3
    • 84981759861 scopus 로고
    • Solution in the large for nonlinear hyperbolic systems of equations
    • J. Glimm, "Solution in the large for nonlinear hyperbolic systems of equations, " Comm. Pure Appl. Math., v. 18, 1965, p. 697-715.
    • (1965) Comm. Pure Appl. Math , vol.18 , pp. 697-715
    • Glimm, J.1
  • 4
    • 84966225172 scopus 로고
    • A finite difference method for the numerical computation of discontinuous solutions of the equations of now dynamics
    • S. K. Godunov, "A finite difference method for the numerical computation of discontinuous solutions of the equations of now dynamics, " Mat. Sb., v. 47, 1959, p. 271-290.
    • (1959) Mat. Sb , vol.47 , pp. 271-290
    • Godunov, S.K.1
  • 5
    • 40749159424 scopus 로고
    • High resolution schemes for hyperbolic conservation laws
    • A. Harten, "High resolution schemes for hyperbolic conservation laws, " J. Comput. Phys., v. 49, 1983, p. 357-393.
    • (1983) J. Comput. Phys , vol.49 , pp. 357-393
    • Harten, A.1
  • 6
    • 84980078953 scopus 로고
    • Weak solutions of nonlinear hyperbolic equations and their numerical computation
    • P. D. Lax, "Weak solutions of nonlinear hyperbolic equations and their numerical computation, " Comm. Pure Appl. Math., v. 7, 1954, p. 159-193.
    • (1954) Comm. Pure Appl. Math , vol.7 , pp. 159-193
    • Lax, P.D.1
  • 7
    • 0002950929 scopus 로고
    • Shock waves and entropy
    • E. A. Zarantonello, ed.), Academic Press, New York
    • P. D. Lax, "Shock waves and entropy, " in Contributions to Nonlinear Functional Analysis (E. A. Zarantonello, ed.), Academic Press, New York, 1971, p. 603-634.
    • (1971) Contributions to Nonlinear Functional Analysis , pp. 603-634
    • Lax, P.D.1
  • 8
    • 84980186730 scopus 로고
    • Numerical viscosity and the entropy condition
    • A. Majda S. Osher, "Numerical viscosity and the entropy condition, " Comm. Pure Appl. Math., v. 32, 1979,. 797-838.
    • (1979) Comm. Pure Appl. Math , vol.32 , pp. 797-838
    • Majda, A.1    Osher, S.2
  • 9
    • 84966203226 scopus 로고
    • On convergence of monotone finite difference schemes with variable spatial efficiency
    • R. Sanders, "On convergence of monotone finite difference schemes with variable spatial efficiency, " Math. Comp., v. 40, 1983, p. 91-106.
    • (1983) Math. Comp , vol.40 , pp. 91-106
    • Sanders, R.1
  • 10
    • 84966231978 scopus 로고    scopus 로고
    • The large-time behavior of the scalar, genuinely nonlinear Lax-Friedrichs scheme
    • E. Tadmor, "The large-time behavior of the scalar, genuinely nonlinear Lax-Friedrichs scheme, " Math. Comp.
    • Math. Comp
    • Tadmor, E.1
  • 11
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    • Stability theory for partial difference operators
    • V. Thomet, "Stability theory for partial difference operators, " SIAM Rev., v. 11, 1969, p. 152-195.
    • (1969) SIAM Rev , vol.11 , pp. 152-195
    • Thomet, V.1
  • 12
    • 0021413939 scopus 로고
    • Riemann solvers, the entropy condition and difference approximations
    • S. Osher, "Riemann solvers, the entropy condition and difference approximations, " SIAM J. Numer. Anal., v. 21, 1984, p. 217-235
    • (1984) SIAM J. Numer. Anal , vol.21 , pp. 217-235
    • Osher, S.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.