Eight Perspectives on the Exponentially Ill-Conditioned Equation $\varepsilon y'' - x y' + y = 0$
Author(s) -
Lloyd N. Trefethen
Publication year - 2020
Publication title -
siam review
Language(s) - Spanish
Resource type - Journals
SCImago Journal Rank - 4.683
H-Index - 120
eISSN - 1095-7200
pISSN - 0036-1445
DOI - 10.1137/18m121232x
Subject(s) - subject (documents) , exponential growth , manifold (fluid mechanics) , boundary layer , point (geometry) , boundary (topology) , mathematics , mathematical analysis , computer science , physics , geometry , engineering , thermodynamics , mechanical engineering , library science
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 v...
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