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 |
| Summary: | 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
Hölder continuous functions. Such results were employed to
study finite-difference discretizations of parabolic equations. |
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| ISSN: | 1085-3375 1687-0409 |