On real interpolation, finite differences, and estimates depending on a parameter for discretizations of elliptic boundary value problems
We give some results concerning the real-interpolation method and finite differences. Next, we apply them to estimate the resolvents of finite-difference discretizations of Dirichlet boundary value problems for elliptic equations in space dimensions one and two in analogs of spaces of continuous and...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2003-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/S1085337503306359 |