Eight perspectives on the exponentially ill-conditioned equation εy'' − xy' + y = 0

Boundary-value problems involving the linear differential equation $\varepsilon y'' - x y' + y = 0$ have surprising properties as $\varepsilon\to 0$. We examine this equation from eight points of view, showing how it sheds light on aspects of numerical analysis (backward error analysi...

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Bibliographic Details
Main Author: Trefethen, LN
Format: Journal article
Language:English
Published: Society for Industrial and Applied Mathematics 2020