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Uniform convergence of arbitrary order on nonuniform meshes for a singularly perturbed boundary value problem

โœ Scribed by Carmelo Clavero; Francisco Lisbona; John J.H. Miller

Book ID
107989048
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
725 KB
Volume
59
Category
Article
ISSN
0377-0427

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Convergence analysis of finite differenc
Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem
โœ G. Beckett; J.A. Mackenzie ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 206 KB

We derive ฮต-uniform error estimates for two first-order upwind discretizations of a model inhomogeneous, second-order, singularly perturbed boundary value problem on a non-uniform grid. Here, ฮต is the small parameter multiplying the highest derivative term. The grid is suggested by the equidistribut