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Linear singularly perturbed systems without slow-fast split

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Abstract

We examine linear, time invariant, singularly perturbed differential equations, where a split into slow and fast variables is not prescribed. Simple linear algebra considerations give rise to a useful order reduction type framework. A comparison with the classical order reduction method is provided, and the relation to efficient computations is pointed out.

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Correspondence to Zvi Artstein.

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In memory of a great scholar, Asen L. Dontchev.

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Artstein, Z. Linear singularly perturbed systems without slow-fast split. Comput Optim Appl 86, 871–884 (2023). https://doi.org/10.1007/s10589-022-00412-9

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  • DOI: https://doi.org/10.1007/s10589-022-00412-9

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