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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin :
De Gruyter,
2013.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 050 | 4 | |a QA374 .S23 2013 | |
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| 100 | 1 | |a Sabelʹfelʹd, K. K. |q (Karl Karlovich), |e author. | |
| 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 | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 588 | 0 | |a Print version record. | |
| 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 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 |0 (OCoLC)fst00893484 | |
| 650 | 7 | |a Integral operators. |2 fast |0 (OCoLC)fst00975514 | |
| 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. | |
| 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 |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=661746 |z Texto completo |
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| 938 | |a De Gruyter |b DEGR |n 9783110315332 | ||
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