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One dimensional methods for the numerical solution of nonlinear hyperbolic systems

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 228))

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References

  1. S.Z. Burstein and E. Rubin: Difference methods for the inviscid and viscous equations of a compressible gas. J. Comp. Phys., 2, (1967).

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  3. A.R. Gourlay, G. McGuire and J.Ll. Morris: One dimensional methods for the numerical solution of nonlinear hyperbolic systems. To appear as I.B.M., Peterlee Scientific Centre, technical report No.1, 1971.

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  4. A.R. Gourlay and J.Ll. Morris: A multistep formulation of the optimized Lax-Wendroff method for nonlinear hyperbolic systems in two space variables. Maths of Comp., 22, (1968).

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  5. A.R. Gourlay and J.Ll. Morris: On the comparison of multistep formulations of the optimized Lax-Wendroff method for nonlinear hyperbolic systems in two space variables. J. Comp. Phys., 5, (1970).

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  6. P.D. Lax: Weak solutions of nonlinear hyperbolic equations and their numerical computation. Comm. Pure. Appl. Math., 7, (1954).

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  7. G. McGuire and J.Ll. Morris: Boundary techniques for the multistep formulations of the optimized Lax-Wendroff method for nonlinear hyperbolic systems in two space dimensions. (Submitted to J.I.M.A., 1971.)

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  9. R.D. Richtymer: A survey of difference methods for nonsteady fluid dynamics. NCAR Tech. Notes, 63-2.

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Authors
  1. A. R. Gourlay
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  2. G. McGuire
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  3. J.Ll. Morris
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John Ll. Morris

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© 1971 Springer-Verlag

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Gourlay, A.R., McGuire, G., Morris, J. (1971). One dimensional methods for the numerical solution of nonlinear hyperbolic systems. In: Morris, J.L. (eds) Conference on Applications of Numerical Analysis. Lecture Notes in Mathematics, vol 228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069463

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  • DOI: https://doi.org/10.1007/BFb0069463

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05656-0

  • Online ISBN: 978-3-540-36976-9

  • eBook Packages: Springer Book Archive

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