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On the convergence of the von Neumann difference approximation to hyperbolic initial boundary value problems

โœ Scribed by E. Gekeler


Publisher
Springer-Verlag
Year
1974
Tongue
English
Weight
301 KB
Volume
23
Category
Article
ISSN
0029-599X

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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