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035   $a(EBL)1524379
035   $a(OCoLC)862612009
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035   $a(PQKBTitleCode)TC0001041537
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035   $a(MiAaPQ)EBC1524379
035   $a(DE-B1597)209204
035   $a(OCoLC)864085898
035   $a(DE-B1597)9783110315332
035   $a(Au-PeEL)EBL1524379
035   $a(CaPaEBR)ebr10811336
035   $a(CaONFJC)MIL808134
035   $a(EXLCZ)992670000000495289
100   $a20130725h20132013  uy             0
101 0 $aeng
135   $aurnn#---|u||u
181   $ctxt
182   $cc
183   $acr
200 10$aSpherical and plane integral operators for PDEs $econstruction, analysis, and applications /$fKarl K. Sabelfeld, Irina A. Shalimova
210  1$aBerlin ;$aBoston :$cWalter de Gruyter GmbH & Company,$d[2013]
210  4$d©2013
215   $a1 online resource (338 p.)
300   $aDescription based upon print version of record.
311 0 $a3-11-031529-7 
320   $aIncludes bibliographical references and index.
327   $tFront matter --$tPreface --$tContents --$t1. Introduction --$t2. Scalar second-order PDEs --$t3. High-order elliptic equations --$t4. Triangular systems of elliptic equations --$t5. Systems of elasticity theory --$t6. The generalized Poisson formula for the Lamé equation --$t7. Spherical means for the stress and strain tensors --$t8. Random Walk on Spheres method --$t9. Random Walk on Fixed Spheres for Laplace and Lamé equations --$t10. A stochastic spectral projection method for solving PDEs for some classes of domains --$t11. Stochastic boundary collocation and spectral methods --$t12. Solution of 2D elasticity problems with random loads --$t13. Boundary value problems for some elliptic PDEs with random boundary conditions --$tBibliography --$tIndex
330   $aThe 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.
606   $aDifferential equations, Partial
606   $aIntegral operators
610   $aBoundary value problems.
610   $aSpectral projection method.
610   $aSpherical integral operator.
610   $aStochastic numeric.
615  0$aDifferential equations, Partial.
615  0$aIntegral operators.
676   $a515/.353
686   $aSK 540$2rvk
700   $aSabel?fel?d$b K. K$g(Karl Karlovich)$01027546
701   $aShalimova$b I. A$01607138
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910807707203321
996   $aSpherical and plane integral operators for PDEs$93933277
997   $aUNINA