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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Sabelʹfelʹd, K. K. (Karl Karlovich) (Autor), Shalimova, I. A. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : De Gruyter, 2013.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario: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.
Notas:9.4.1 Stochastic iterative procedure with optimal random parameters.
Descripción Física:1 online resource (x, 328 pages) : illustrations
Bibliografía:Includes bibliographical references (pages 317-326) and index.
ISBN:9783110315332
3110315335
3110315297
9783110315295