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Convergence of linear multistep methods for two-parameter singular perturbation problems

✍ Scribed by Xiao Aiguo; Li Shoufu; Fu Hongyuan; Chen Guangnan


Book ID
110611684
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2001
Tongue
English
Weight
488 KB
Volume
17
Category
Article
ISSN
0168-9673

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Higher order uniformly convergent method
✍ Hans-GΓΆrg Roos πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 367 KB

Until now, the best way to construct high order uniformly convergent schemes for singular perturbation problems was to apply exponentially fitted compact difference schemes. We propose the following approach: firstly solve an auxiliary problem with piecewise or nearly piecewise constant coefficients