Download or read book Asymptotic Analysis of Dissipative Waves with Applications to Their Numerical Simulation written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-08-16 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Various problems involving the interplay of asymptotics and numerics in the analysis of wave propagation in dissipative systems are studied. A general approach to the asymptotic analysis of linear, dissipative waves is developed. It was applied to the derivation of asymptotic boundary conditions for numerical solutions on unbounded domains. Applications include the Navier-Stokes equations. Multidimensional traveling wave solutions to reaction-diffusion equations are also considered. A preliminary numerical investigation of a thermo-diffusive model of flame propagation in a channel with heat loss at the walls is presented. Hagstrom, Thomas Glenn Research Center NASA-TM-103231, ICOMP-90-19, E-5647, NAS 1.15:103231 NASA ORDER C-99066-G; NSF DMS-89-05314; RTOP 505-62-21...