×

zbMATH — the first resource for mathematics

Weak solutions of nonlinear hyperbolic equations and their numerical computation. (English) Zbl 0055.19404

Keywords:
fluid mechanics
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Becker, Zeitschrift für Physik 8 pp 321– (1922)
[2] and , Supersonic Flow and Shock Waves, Interscience Publishers, New York-London, 1948. · Zbl 0041.11302
[3] and , Methoden der mathematischen Physik, Volume II, Springer, Berlin, 1937; reprinted by Interscience Publishers, New York, 1943.
[4] Courant, Communications on Pure and Applied Mathematics pp 243– (1952)
[5] Courant, Mathematische Annalen 100 pp 32– (1928)
[6] Gilbarg, American Journal of Mathematics 73 pp 256– (1951) · Zbl 0044.21504
[7] Grad, Communications on Pure and Applied Mathematics pp 257– (1952)
[8] Hopf, Communications on Pure and Applied Mathematics pp 201– (1950)
[9] and , Finite difference schemes for hyperbolic systems, LAMS, 1205, 1950.
[10] On discontinuous initial value problems for nonlinear equations and finite difference schemes, Los Alamos Scientific Laboratory Report, 1332, 1952.
[11] The initial value problem for nonlinear hyperbolic equation in two independent variables, Princeton University Annals of Mathematias Studies, No. 33.
[12] Proposal and analysis of a numerical method for the treatment of hydro-dynamic shock problems, National Defense and Research Committee Report AM551, 1944.
[13] von Neumann, Journal of Applied Physics 21 pp 232– (1950)
[14] Thomaa, Journal of Chemical Physics 12 pp 449– (1944)
[15] Weyl, Communications on Pure and Applied Mathematias 2 pp 103– (1949)
[16] and , Unicité des écoulements avec chocs dane la mécanique de Burgers, Office National d’Etudes et de Recherches Aeronautiques, Paris, 1953, pp. 1–13.
[17] On a quasi-linear parabolic equation occurring in aerodynamics, Quarterly of Applied Mathematias, 1961, pp. 226–236.
[18] Ludford, Journal of Applied Physics 24 pp 490– (1953)
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.