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

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
VerfasserIn:
Sabelfeld, Karl K.,
Shalimova, Irina A.,
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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id 9783110315332
ctrlnum (DE-B1597)209204
(OCoLC)862612009
collection bib_alma
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spelling Sabelfeld, Karl K., author. aut http://id.loc.gov/vocabulary/relators/aut
Spherical and Plane Integral Operators for PDEs : Construction, Analysis, and Applications / Karl K. Sabelfeld, Irina A. Shalimova.
Berlin ; Boston : De Gruyter, [2013]
©2013
1 online resource (328 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Frontmatter -- Preface -- Contents -- 1. Introduction -- 2. Scalar second-order PDEs -- 3. High-order elliptic equations -- 4. Triangular systems of elliptic equations -- 5. Systems of elasticity theory -- 6. The generalized Poisson formula for the Lamé equation -- 7. Spherical means for the stress and strain tensors -- 8. Random Walk on Spheres method -- 9. Random Walk on Fixed Spheres for Laplace and Lamé equations -- 10. A stochastic spectral projection method for solving PDEs for some classes of domains -- 11. Stochastic boundary collocation and spectral methods -- 12. Solution of 2D elasticity problems with random loads -- 13. Boundary value problems for some elliptic PDEs with random boundary conditions -- Bibliography -- Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
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.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Nov 2021)
Partielle Differentialgleichungen.
Planare Integraloperatoren.
Sphärische Integraloperatoren.
MATHEMATICS / Differential Equations / General. bisacsh
Boundary value problems.
Spectral projection method.
Spherical integral operator.
Stochastic numeric.
Shalimova, Irina A., author. aut http://id.loc.gov/vocabulary/relators/aut
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570
Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471
Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA
Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013 9783110317350 ZDB-23-DGG
Title is part of eBook package: De Gruyter E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013 9783110317282 ZDB-23-DMI
Title is part of eBook package: De Gruyter E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013 9783110317275 ZDB-23-DMP
print 9783110315295
https://doi.org/10.1515/9783110315332
https://www.degruyter.com/isbn/9783110315332
Cover https://www.degruyter.com/document/cover/isbn/9783110315332/original
language English
format eBook
author Sabelfeld, Karl K.,
Sabelfeld, Karl K.,
Shalimova, Irina A.,
spellingShingle Sabelfeld, Karl K.,
Sabelfeld, Karl K.,
Shalimova, Irina A.,
Spherical and Plane Integral Operators for PDEs : Construction, Analysis, and Applications /
Frontmatter --
Preface --
Contents --
1. Introduction --
2. Scalar second-order PDEs --
3. High-order elliptic equations --
4. Triangular systems of elliptic equations --
5. Systems of elasticity theory --
6. The generalized Poisson formula for the Lamé equation --
7. Spherical means for the stress and strain tensors --
8. Random Walk on Spheres method --
9. Random Walk on Fixed Spheres for Laplace and Lamé equations --
10. A stochastic spectral projection method for solving PDEs for some classes of domains --
11. Stochastic boundary collocation and spectral methods --
12. Solution of 2D elasticity problems with random loads --
13. Boundary value problems for some elliptic PDEs with random boundary conditions --
Bibliography --
Index
author_facet Sabelfeld, Karl K.,
Sabelfeld, Karl K.,
Shalimova, Irina A.,
Shalimova, Irina A.,
Shalimova, Irina A.,
author_variant k k s kk kks
k k s kk kks
i a s ia ias
author_role VerfasserIn
VerfasserIn
VerfasserIn
author2 Shalimova, Irina A.,
Shalimova, Irina A.,
author2_variant i a s ia ias
author2_role VerfasserIn
VerfasserIn
author_sort Sabelfeld, Karl K.,
title Spherical and Plane Integral Operators for PDEs : Construction, Analysis, and Applications /
title_sub Construction, Analysis, and Applications /
title_full Spherical and Plane Integral Operators for PDEs : Construction, Analysis, and Applications / Karl K. Sabelfeld, Irina A. Shalimova.
title_fullStr Spherical and Plane Integral Operators for PDEs : Construction, Analysis, and Applications / Karl K. Sabelfeld, Irina A. Shalimova.
title_full_unstemmed Spherical and Plane Integral Operators for PDEs : Construction, Analysis, and Applications / Karl K. Sabelfeld, Irina A. Shalimova.
title_auth Spherical and Plane Integral Operators for PDEs : Construction, Analysis, and Applications /
title_alt Frontmatter --
Preface --
Contents --
1. Introduction --
2. Scalar second-order PDEs --
3. High-order elliptic equations --
4. Triangular systems of elliptic equations --
5. Systems of elasticity theory --
6. The generalized Poisson formula for the Lamé equation --
7. Spherical means for the stress and strain tensors --
8. Random Walk on Spheres method --
9. Random Walk on Fixed Spheres for Laplace and Lamé equations --
10. A stochastic spectral projection method for solving PDEs for some classes of domains --
11. Stochastic boundary collocation and spectral methods --
12. Solution of 2D elasticity problems with random loads --
13. Boundary value problems for some elliptic PDEs with random boundary conditions --
Bibliography --
Index
title_new Spherical and Plane Integral Operators for PDEs :
title_sort spherical and plane integral operators for pdes : construction, analysis, and applications /
publisher De Gruyter,
publishDate 2013
physical 1 online resource (328 p.)
contents Frontmatter --
Preface --
Contents --
1. Introduction --
2. Scalar second-order PDEs --
3. High-order elliptic equations --
4. Triangular systems of elliptic equations --
5. Systems of elasticity theory --
6. The generalized Poisson formula for the Lamé equation --
7. Spherical means for the stress and strain tensors --
8. Random Walk on Spheres method --
9. Random Walk on Fixed Spheres for Laplace and Lamé equations --
10. A stochastic spectral projection method for solving PDEs for some classes of domains --
11. Stochastic boundary collocation and spectral methods --
12. Solution of 2D elasticity problems with random loads --
13. Boundary value problems for some elliptic PDEs with random boundary conditions --
Bibliography --
Index
isbn 9783110315332
9783110238570
9783110238471
9783110637205
9783110317350
9783110317282
9783110317275
9783110315295
url https://doi.org/10.1515/9783110315332
https://www.degruyter.com/isbn/9783110315332
https://www.degruyter.com/document/cover/isbn/9783110315332/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515/.353
dewey-sort 3515 3353
dewey-raw 515/.353
dewey-search 515/.353
doi_str_mv 10.1515/9783110315332
oclc_num 862612009
work_keys_str_mv AT sabelfeldkarlk sphericalandplaneintegraloperatorsforpdesconstructionanalysisandapplications
AT shalimovairinaa sphericalandplaneintegraloperatorsforpdesconstructionanalysisandapplications
status_str n
ids_txt_mv (DE-B1597)209204
(OCoLC)862612009
carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN)
Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014
Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013
Title is part of eBook package: De Gruyter E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013
Title is part of eBook package: De Gruyter E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013
is_hierarchy_title Spherical and Plane Integral Operators for PDEs : Construction, Analysis, and Applications /
container_title Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
author2_original_writing_str_mv noLinkedField
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