Description

Book Synopsis

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.

Spherical and Plane Integral Operators for PDEs: Construction, Analysis, and Applications

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    A Hardback by Karl K. Sabelfeld, Irina A. Shalimova

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      Book details

      Publisher De Gruyter
      Published 17 October 2013
      ISBN-13 9783110315295
      978-3110315295
      ISBN-10 3110315297

      Description

      Book Synopsis

      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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