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Note on a Classical Conservative Method for Scalar Hyperbolic Equations

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We provide a combination of the forward Euler method

Abstract

We provide a combination of the forward Euler method

참고문헌 (7)

  1. S. K. Godunov, "A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics", Mat. Sb., 47, pp.271~306 (1959)
  2. A. Harten, "High resolution schemes for hyperbolic conservation laws", J. Comput. Phys., 49, pp.357~393 (1983)
  3. R. J. LeVeque, "Numerical Methods for Conservation Laws", Lectures in Mathematics ETH Zurich (1992), Birkhauser Verlag
  4. R. J. LeVeque, "Cambridge Texts in Applied Mathematics" (2002), Cambridge University Press
  5. B. van Leer, "On the relation between the upwind-differencing schemes of Godunov, Engquist-Oscher and Roe", SIAM J. Sci. Stat. Comput., 5, pp.1~20 (1984)
  6. J. C. Strikwerda, "Finite Difference Schemes and Partial Differential Equations", pp.1989, Wadsworth and Brooks
  7. J. W. Thomas, "Numerical Partial Differential Equations: Conservation Laws and Elliptic Equations", Texts in Applied Mathematics, 33 (1999), Springer-Verlag

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