Spatial Approximation for Evolutionary Equations
Functional Analysis
2025-12-18 v1 Analysis of PDEs
Abstract
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.
Cite
@article{arxiv.2512.15354,
title = {Spatial Approximation for Evolutionary Equations},
author = {Andreas Buchinger and Christian Seifert and Sascha Trostorff and Marcus Waurick},
journal= {arXiv preprint arXiv:2512.15354},
year = {2025}
}
Comments
12 p