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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337503306359 |
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| _version_ | 1832555415924113408 |
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| author | Davide Guidetti Sergei Piskarev |
| author_facet | Davide Guidetti Sergei Piskarev |
| author_sort | Davide Guidetti |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3b0573ff02df46acba447c7af7ec8d5b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3b0573ff02df46acba447c7af7ec8d5b2025-02-03T05:48:15ZengWileyAbstract and Applied Analysis1085-33751687-04092003-01-012003181005103510.1155/S1085337503306359On real interpolation, finite differences, and estimates depending on a parameter for discretizations of elliptic boundary value problemsDavide Guidetti0Sergei Piskarev1Dipartimento di Matematica, Universitá di Bologna, Piazza di Porta S. Donato 5, Bologna 40126, ItalyScience Research Computer Center, Moscow State University, Moscow 119899, RussiaWe 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.http://dx.doi.org/10.1155/S1085337503306359 |
| spellingShingle | Davide Guidetti Sergei Piskarev On real interpolation, finite differences, and estimates depending on a parameter for discretizations of elliptic boundary value problems Abstract and Applied Analysis |
| title | On real interpolation, finite differences, and estimates
depending on a parameter for discretizations of elliptic
boundary value problems |
| title_full | On real interpolation, finite differences, and estimates
depending on a parameter for discretizations of elliptic
boundary value problems |
| title_fullStr | On real interpolation, finite differences, and estimates
depending on a parameter for discretizations of elliptic
boundary value problems |
| title_full_unstemmed | On real interpolation, finite differences, and estimates
depending on a parameter for discretizations of elliptic
boundary value problems |
| title_short | On real interpolation, finite differences, and estimates
depending on a parameter for discretizations of elliptic
boundary value problems |
| title_sort | on real interpolation finite differences and estimates depending on a parameter for discretizations of elliptic boundary value problems |
| url | http://dx.doi.org/10.1155/S1085337503306359 |
| work_keys_str_mv | AT davideguidetti onrealinterpolationfinitedifferencesandestimatesdependingonaparameterfordiscretizationsofellipticboundaryvalueproblems AT sergeipiskarev onrealinterpolationfinitedifferencesandestimatesdependingonaparameterfordiscretizationsofellipticboundaryvalueproblems |