Roe, P. L. Approximate Riemann solvers, parameter vectors, and difference schemes. (Reprint). (English) Zbl 0890.65094 J. Comput. Phys. 135, No. 2, 250-258 (1997). See the review of the original paper [ibid. 43, 357-372 (1981; Zbl 0474.65066)]. Cited in 2 ReviewsCited in 39 Documents MSC: 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 35L65 Hyperbolic conservation laws 01A75 Collected or selected works; reprintings or translations of classics 76M20 Finite difference methods applied to problems in fluid mechanics 35N15 \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs 65-03 History of numerical analysis Keywords:computational fluid; dynamics; Riemann problems; gas dynamics; conservation laws; finite difference method; convergence PDF BibTeX XML Cite \textit{P. L. Roe}, J. Comput. Phys. 135, No. 2, 250--258 (1997; Zbl 0890.65094) Full Text: DOI References: [1] P. L. Roe, 1981, Proceedings, Seventh Int. Conf. Num. Meth. Fluid Dyn. Springer-Verlag, New York/Berlin [2] Oleinik, O.A., Trans. amer. math. soc. sect. 2, 33, 285, (1963) [3] Lax, P.D., Hyperbolic systems of conservation laws and the mathematical theory of shock waves, (1972), SIAM Philadelphia [4] Godunov, S.K., Mat. sb., 47, 271, (1959) [5] Richtmyer, R.D.; Morton, K.W., Difference method for initial-value problems, (1967), Interscience New York · Zbl 0155.47502 [6] Holt, M., Numerical methods in fluid dynamics, (1977), Springer-Verlag New York/Berlin · Zbl 0357.76009 [7] van Leer, B., J. comput. phys., 32, 101, (1979) [8] Glimm, J., Comm. pure appl. math., 18, 697, (1965) [9] Chorin, A.J., J. comput. phys., 22, 517, (1976) [10] Harten, A.; Lax, P.D., NYU report, 20E/ER/03077-167, (1980) [11] SIAM J. numer. anal., 18, 289, (1981) [12] Sells, C.C.L., Rae tr, 80065, (1980) [13] Osher, S.; Solomon, F., Math. comp., 38, 339, (1982) [14] H. Viviand, 1981, Proceedings, Seventh Int. Conf. Num. Meth. Fluid Dyn. Springer-Verlag, New York/Berlin [15] Sod, G.A., J. comput. phys., 27, 1, (1978) 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.