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

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Karl K. Sabelfeld Irina A. Shalimova

Spherical and Plane Integral Operators for PDEs

Construction, Analysis, and Applications

Karl K. Sabelfeld, Irina A. Shalimova

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English

De Gruyter
17 October 2013

Algebra; Differential calculus & equations; Integral calculus & equations; Applied mathematics

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.

By: Karl K. Sabelfeld, Irina A. Shalimova
Imprint: De Gruyter
Country of Publication: Germany
Dimensions: Height: 240mm, Width: 170mm,
Weight: 692g
ISBN: 9783110315295
ISBN 10: 3110315297
Pages: 338
Publication Date: 17 October 2013
Recommended Age: College Graduate Student
Audience: Professional and scholarly , Undergraduate , Undergraduate
Format: Hardback
Publisher's Status: Active

Karl Sabelfeld and Irina Shalimova, Russian Academy of Sciences and Novosibirsk University, Novosibirsk, Russia.