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arXiv · 2512.15354

Spatial Approximation for Evolutionary Equations

Andreas Buchinger·Christian Seifert·Sascha Trostorff·Marcus Waurick
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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.

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Andreas Buchinger, Christian Seifert, Sascha Trostorff, Marcus Waurick. 2025-12-17. Spatial Approximation for Evolutionary Equations. https://arxiv.org/abs/2512.15354

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