The development of efficient numerical schemes for such systems is challenging, since in many applications the relaxation time varies from values of order 1 to very small values if compared to the time scale determined by the characteristic speeds of the system. In this second case the hyperbolic system with relaxation is said to be stiff, and typically its solutions are well approximated by solutions of a suitably reduced set of conservation laws called equilibrium system [13].


Hyperbolic System WENO Scheme Hyperbolic Part Implicit Part Strang Splitting 
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© Birkhäuser Verlag 2009

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