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Report 1997-12

The method of transport for nonlinear systems of hyperbolic conservation laws in several space dimensions

M. Fey, R. Jeltsch, J. Maurer and A.-T. Morel

Abstract: The idea of the method of transport is introduced by means of non-linear conservation laws. The systems are rewritten in an advection form accounting for the characteristic propagation directions. A straightforward linearization of this advection form leads to a genuinely multi-dimensional method. Approximations using infinitely many or a finite number of propagation directions are shown.

Paper: Available as PDF (229 KB) or as hardcopy to order reports@sam.math.ethz.ch.

 

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