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Particle approximation of linear hyperbolic equations of the first order

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Numerical Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1066))

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References

  1. Beale, J.T., and Majda, A. "Vortex methods I: Convergence in three dimensions", Math. Comp., 32, 1–27 (1982).

    MathSciNet  MATH  Google Scholar 

  2. Beale, J.T., and Majda, A. "Vortex methods II: Higher order accuracy in two and three dimensions", Math. Comp., 32, 29–56 (1982).

    MathSciNet  MATH  Google Scholar 

  3. Cottet, G.H., and Raviart, P.A., "Particle methods for the one-dimensional Vlasov-Poisson equations", SIAM J. Numer. Anal. (1983) (to appear).

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  4. Denavit, J. "Numerical simulation of plasmas with periodic smoothing in phase space", J. Comput. Phys., 9, 75–98 (1972).

    Article  MATH  Google Scholar 

  5. Hald, O. "Convergence of Vortex methods II", SIAM J. Numer. Anal., 16, 726–755 (1979).

    Article  MathSciNet  MATH  Google Scholar 

  6. Harlow, F.H. "The particle in cell computing method for fluid dynamics", Methods in Computational Physics (B. Alder, S. Fernbach and ~~i~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Vol. 3, Academic Press, New-York 1964.

    Google Scholar 

  7. Hockney, R.W., and Eastwood, J.W. "Computer Simulation Using Particles", Mc Graw Hill, New-York 1981.

    MATH  Google Scholar 

  8. Leonard, A. "Vortex methods for flow simulations", J. Comput. Phys., 37, 283–335 (1980).

    Article  MathSciNet  Google Scholar 

  9. Raviart, P.A. "An analysis of particle methods", CIME Course in Numerical Methods in Fluid Dynamics, Como, July 1983 (to be published in Lectures Notes in Mathematics, Springer Verlag).

    Google Scholar 

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Authors

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David F. Griffiths

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© 1984 Springer-Verlag

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Raviart, PA. (1984). Particle approximation of linear hyperbolic equations of the first order. In: Griffiths, D.F. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 1066. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099522

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  • DOI: https://doi.org/10.1007/BFb0099522

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13344-5

  • Online ISBN: 978-3-540-38881-4

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