2025/12/17 by Buchinger, Andreas, Seifert, Christian, Trostorff, Sascha +1
#35A35 #35K90 #65M12 #65M60 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Primary 35F10 #secondary 35Q99
paper · doi:10.48550/arxiv.2512.15354
We consider evolutionary equations as introduced by R. Picard in 2009 and develop a general theory for approximation which can be seen as a theoretical foundation for numerical analysis for evolutionary equations. To demonstrate the approximation result, we apply it to a spatial discretisation of the heat equation using spectral methods.