A difference method for certain hyperbolic systems of non-linear partial differential equations of the first order
Z. Kowalski (1967)
Annales Polonici Mathematici
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Displaying similar documents to “A hyperbolic model of chemotaxis on a network: a numerical study”
A difference method for certain hyperbolic systems of non-linear partial differential equations of the first order
A steady-state capturing method for hyperbolic systems with geometrical source terms
Shi Jin (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We propose a simple numerical method for capturing the steady state solution of hyperbolic systems with geometrical source terms. We use the interface value, rather than the cell-averages, for the source terms that balance the nonlinear convection at the cell interface, allowing the numerical capturing of the steady state with a formal high order accuracy. This method applies to Godunov or Roe type upwind methods but requires no modification of the Riemann solver. Numerical experiments...