Design and analysis of ADER-type schemes for model advection–diffusion–reaction equations
作者： S. Busto , E.F. Toro , M.E. Vázquez-Cendón
DOI: 10.1016/J.JCP.2016.09.043
关键词: Advection 、 Order of accuracy 、 Linear stability 、 Type (model theory) 、 Mathematical optimization 、 Finite volume method 、 Differential equation 、 Mathematics 、 Spacetime 、 Rate of convergence
摘要: Abstract We construct, analyze and assess various schemes of second order accuracy in space time for model advection–diffusion–reaction differential equations. The constructed are meant to be practical use solving industrial problems derived following two related approaches, namely ADER MUSCL-Hancock. Detailed analysis linear stability local truncation error carried out. In addition, the implemented assessed test problems. Empirical convergence rate studies confirm theoretically expected both time.
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