On uniform difference schemes for second-order singular perturbation problems in Banach spaces
On uniform difference schemes for second-order singular perturbation problems in Banach spaces
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DOI：
10.1137/0523003
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发表时间：
1992
影响因子：
2
通讯作者：
A. Ashyralyev;H. Fattorini
中科院分区：
文献类型：
--
作者：
A. Ashyralyev;H. Fattorini
The paper considers finite difference approximations of arbitrary order $O(\tau ^n )$ to certain nonhomogeneous singular perturbation problems involving a small coefficient $\varepsilon ^2 $ in the higher derivative, where $\tau $ is the length of the discretization step in t and n is an arbitrary integer fixed in advance. Approximation is uniform with respect to $\varepsilon $.
