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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

MARC

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100 1 |a Sabelʹfelʹd, K. K.  |q (Karl Karlovich),  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PBJgX9kQ4F8wvFh87frCJDq 
245 1 0 |a Spherical and plane integral operators for PDEs :  |b construction, analysis, and applications /  |c Karl K. Sabelfeld, Irina A. Shalimova. 
260 |a Berlin :  |b De Gruyter,  |c 2013. 
300 |a 1 online resource (x, 328 pages) :  |b illustrations 
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500 |a 9.4.1 Stochastic iterative procedure with optimal random parameters. 
520 |a 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. 
504 |a Includes bibliographical references (pages 317-326) and index. 
505 0 0 |t Frontmatter --  |t Preface --  |t Contents --  |t 1. Introduction --  |t 2. Scalar second-order PDEs --  |t 3. High-order elliptic equations --  |t 4. Triangular systems of elliptic equations --  |t 5. Systems of elasticity theory --  |t 6. The generalized Poisson formula for the Lamé equation --  |t 7. Spherical means for the stress and strain tensors --  |t 8. Random Walk on Spheres method --  |t 9. Random Walk on Fixed Spheres for Laplace and Lamé equations --  |t 10. A stochastic spectral projection method for solving PDEs for some classes of domains --  |t 11. Stochastic boundary collocation and spectral methods --  |t 12. Solution of 2D elasticity problems with random loads --  |t 13. Boundary value problems for some elliptic PDEs with random boundary conditions --  |t Bibliography --  |t Index. 
546 |a English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Differential equations, Partial. 
650 0 |a Integral operators. 
650 6 |a Équations aux dérivées partielles. 
650 6 |a Opérateurs intégraux. 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Differential equations, Partial  |2 fast 
650 7 |a Integral operators  |2 fast 
650 7 |a Integraloperator  |2 gnd 
650 7 |a Randwertproblem  |2 gnd 
650 7 |a Partielle Differentialgleichung  |2 gnd 
700 1 |a Shalimova, I. A.,  |e author. 
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776 0 8 |i Print version:  |a Sabelʹfelʹd, K.K. (Karl Karlovich).  |t Spherical and plane integral operators for PDEs.  |d Berlin ; Boston : Walter de Gruyter GmbH & Co., KG, [2013]  |z 9783110315295  |w (DLC) 2013029473  |w (OCoLC)854541720 
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