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Systems of conservation laws. (English) Zbl 0152.44802


Keywords:

fluid mechanics

References:

[1] and , Supersonic Flow and Shock Waves, Interscience Publishers, New York, 1948. · Zbl 0041.11302
[2] Courant, Math. Ann. 100 pp 32– (1928)
[3] Harlow, J. Assoc. Comp. Mach. 4 pp 137– (1957) · doi:10.1145/320868.320871
[4] John, Comm. Pure Appl. Math. 5 pp 155– (1952)
[5] A numerical method for treating fluid flow in the presence of shocks, Los Alamos Scientific Laboratory Report LA-1930, January, 1955.
[6] On discontinuous initial value problems for nonlinear equations and finite difference schemes, Los Alamos Scientific Laboratory Report LAMS-1332, December, 1952.
[7] Lax, Comm. Pure Appl. Math. 7 pp 159– (1954)
[8] Lax, Bull. Amer. Math. Soc. 66 pp 32– (1960)
[9] Lax, Comm. Pure Appl. Math. 10 pp 537– (1957)
[10] Lax, Comm. Pure Appl. Math. 9 pp 267– (1956)
[11] Methods of differencing in Eulerian hydrodynamics, Los Alamos Scientific Laboratory Report, LAMS-2379.
[12] Proposal and analysis of a numerical method for the treatment of hydro-dynamical shock problems, National Defense and Research Committee Report AM-551, March, 1944.
[13] Von Neumann, J. Appl. Physics 21 pp 232– (1950)
[14] Godunov, Mat. Sbornik, N. S. 47 pp 271– (1959)
[15] On difference schemes for solving initial value problems for conservations laws, Symposium on Questions of Numerical Analysis, Provisional International Computing Center, Rome, 1958, pp. 69–78.
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