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Particle approximation of linear hyperbolic equations of the first order

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

Keywords

  • Weak Solution
  • Compact Support
  • Particle Method
  • Dirac Measure
  • Measure Solution

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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).

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

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  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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  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.

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

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  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).

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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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