Abstract
The numerical treatment of ordinary differential equations is a field whose scope has broadened quite a bit over the last 50 years. In particular, a whole spectrum of different stability conditions has developed. Since this chapter is not the place to present all details, we concentrate on the most basic concept of stability. As a side- product, it will lead us to the power bounded matrices, which is a class of matrices with certain stability properties.
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Hackbusch, W. (2014). Ordinary Differential Equations. In: The Concept of Stability in Numerical Mathematics. Springer Series in Computational Mathematics, vol 45. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39386-0_5
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DOI: https://doi.org/10.1007/978-3-642-39386-0_5
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