Systems of conservation laws. (English) Zbl 0152.44802


fluid mechanics
Full Text: DOI Link


[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.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.