Spherical and plane integral operators for PDEs : construction, analysis, and applications

書誌事項

Spherical and plane integral operators for PDEs : construction, analysis, and applications

Karl K. Sabelfeld, Irina A. Shalimova

Walter de Gruyter, c2013

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注記

Includes bibliographical references (p. [317]-326) and index

内容説明・目次

内容説明

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.

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