Spatially Adaptive Projective Integration Schemes For Stiff Hyperbolic Balance Laws With Spectral Gaps

Stiff hyperbolic balance laws exhibit large spectral gaps, especially if the relaxation term significantly varies in space. Using examples from rarefied gases and general form of underlying law model, we perform a detailed analysis semi-discrete model that reveals gaps. Based on that, show inefficiency standard time integration schemes expressed by severe restriction CFL number. We then develop first spatially adaptive projective to overcome prohibitive step constraints schemes. The new use different methods parts computational domain, determined varying value time. our analytical results derive accurate stability bounds for involved parameters constraint can be overcome. good accuracy numerical test case obtain speedup with respect