Spherical and Plane Integral Operators for PDEs : : Construction, Analysis, and Applications / / Karl K. Sabelfeld, Irina A. Shalimova.
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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| Superior document: | Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
|---|---|
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2013] ©2013 |
| Year of Publication: | 2013 |
| Language: | English |
| Online Access: | |
| Physical Description: | 1 online resource (328 p.) |
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| 001 | 9783110315332 | ||
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| 020 | |a 9783110315332 | ||
| 024 | 7 | |a 10.1515/9783110315332 |2 doi | |
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| 035 | |a (OCoLC)862612009 | ||
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| 100 | 1 | |a Sabelfeld, Karl K., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Spherical and Plane Integral Operators for PDEs : |b Construction, Analysis, and Applications / |c Karl K. Sabelfeld, Irina A. Shalimova. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2013] | |
| 264 | 4 | |c ©2013 | |
| 300 | |a 1 online resource (328 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 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 |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 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. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Nov 2021) | |
| 650 | 4 | |a Partielle Differentialgleichungen. | |
| 650 | 4 | |a Planare Integraloperatoren. | |
| 650 | 4 | |a Sphärische Integraloperatoren. | |
| 650 | 7 | |a MATHEMATICS / Differential Equations / General. |2 bisacsh | |
| 653 | |a Boundary value problems. | ||
| 653 | |a Spectral projection method. | ||
| 653 | |a Spherical integral operator. | ||
| 653 | |a Stochastic numeric. | ||
| 700 | 1 | |a Shalimova, Irina A., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Complete English Language 2000-2014 PART1 |z 9783110238570 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Mathematics 2000-2014 (EN) |z 9783110238471 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Mathematics - 2000 - 2014 |z 9783110637205 |o ZDB-23-GMA |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013 |z 9783110317350 |o ZDB-23-DGG |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013 |z 9783110317282 |o ZDB-23-DMI |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013 |z 9783110317275 |o ZDB-23-DMP |
| 776 | 0 | |c print |z 9783110315295 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9783110315332 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110315332 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783110315332/original |
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