Front Tracking for One-Dimensional Nonlinear Advection Equations with
A new front tracking method is developed for the variable coefficient
equation $u_t + V(x,t)f(u)_x = 0$. The method is a generalization of
Dafermos' method for the constant coefficient case and is well-defined
also for certain discontinuous velocities $V$. We give an explicit
inequality stating the stability with respect to flux function, velocity,
and initial data. The numerical method is unconditionally stable and has
linear convergence. It is well suited for numerical calculations, as is
demonstrated in three examples.
- Available as PostScript
- Front tracking for one-dimensional nonlinear advection equations with
- Knut-Andreas Lie,
- Publishing information:
- Preprint. Mathematics No 16/1997. NTNU.
- Submitted by:
November 18 1997.
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Last modified: Tue Nov 18 10:00:13 1997