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Spherical and plane integral operators for PDEs: construction, analysis, and applications
The book presents integral formulations for partial differential equations, with the focus on spherical and plane integral operators. The integral relations are obtained for different elliptic and parabolic equations, and both direct and inverse mean value relations are studied. The derived integral...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
De Gruyter
2013
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| Materias: | |
| Acceso en línea: | http://cds.cern.ch/record/1633765 |
| _version_ | 1780934427564572672 |
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| author | Sabelfeld, Karl K Shalimova, Irina A |
| author_facet | Sabelfeld, Karl K Shalimova, Irina A |
| author_sort | Sabelfeld, Karl K |
| collection | CERN |
| description | The book presents integral formulations for partial differential equations, with the focus on spherical and plane integral operators. The integral relations are obtained for different elliptic and parabolic equations, and both direct and inverse mean value relations are studied. The derived integral equations are used to construct new numerical methods for solving relevant boundary value problems, both deterministic and stochastic based on probabilistic interpretation of the spherical and plane integral operators. |
| id | cern-1633765 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2013 |
| publisher | De Gruyter |
| record_format | invenio |
| spelling | cern-16337652021-04-21T21:31:57Zhttp://cds.cern.ch/record/1633765engSabelfeld, Karl KShalimova, Irina ASpherical and plane integral operators for PDEs: construction, analysis, and applicationsMathematical Physics and MathematicsThe book presents integral formulations for partial differential equations, with the focus on spherical and plane integral operators. The integral relations are obtained for different elliptic and parabolic equations, and both direct and inverse mean value relations are studied. The derived integral equations are used to construct new numerical methods for solving relevant boundary value problems, both deterministic and stochastic based on probabilistic interpretation of the spherical and plane integral operators.De Gruyteroai:cds.cern.ch:16337652013 |
| spellingShingle | Mathematical Physics and Mathematics Sabelfeld, Karl K Shalimova, Irina A Spherical and plane integral operators for PDEs: construction, analysis, and applications |
| title | Spherical and plane integral operators for PDEs: construction, analysis, and applications |
| title_full | Spherical and plane integral operators for PDEs: construction, analysis, and applications |
| title_fullStr | Spherical and plane integral operators for PDEs: construction, analysis, and applications |
| title_full_unstemmed | Spherical and plane integral operators for PDEs: construction, analysis, and applications |
| title_short | Spherical and plane integral operators for PDEs: construction, analysis, and applications |
| title_sort | spherical and plane integral operators for pdes: construction, analysis, and applications |
| topic | Mathematical Physics and Mathematics |
| url | http://cds.cern.ch/record/1633765 |
| work_keys_str_mv | AT sabelfeldkarlk sphericalandplaneintegraloperatorsforpdesconstructionanalysisandapplications AT shalimovairinaa sphericalandplaneintegraloperatorsforpdesconstructionanalysisandapplications |