LEADER 03373nam 2200673 450 001 9910807707203321 005 20230803031948.0 010 $a3-11-031533-5 024 7 $a10.1515/9783110315332 035 $a(CKB)2670000000495289 035 $a(EBL)1524379 035 $a(OCoLC)862612009 035 $a(SSID)ssj0001041537 035 $a(PQKBManifestationID)11681824 035 $a(PQKBTitleCode)TC0001041537 035 $a(PQKBWorkID)11010108 035 $a(PQKB)11639906 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 LEADER 01891nam 22003973a 450 001 9910765766503321 005 20250203235442.0 010 $a9788771126723 010 $a8771126724 035 $a(CKB)5490000000052699 035 $a(ScCtBLL)39f712a7-d402-4f1f-8e5d-4ecb35cf87bb 035 $a(OCoLC)1250415189 035 $a(EXLCZ)995490000000052699 100 $a20250203i20172020 uu 101 0 $aeng 135 $auru|||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aStudent Development Dialogue SSD$fLone Krogh, Annie Aarup Jensen 210 1$a[s.l.] :$cAalborg University Press,$d2017. 215 $a38 p 225 1 $aHigher education practices series,$x2446-1881 ;$v4 330 $aThe booklet presents a pedagogical method to support students in reflecting on important aspects related to the study processes they are going through, in order for them to become more aware of challenges they have to face during these processes. The method aims to empower students to find ways to overcome their challenges and to support them in completing their education. The Student Development Dialogue (SDD) represents a holistic perspective on the student, that allows individual students to integrate their past (life, work and educational experiences) and connect it with the present as far as their interests and the formal educational goals are concerned, and thence with the future, regarding their wishes for their personal academic career. 606 $aEducation / Reference$2bisacsh 606 $aEducation 615 7$aEducation / Reference 615 0$aEducation. 700 $aKrogh$b Lone$01451465 702 $aJensen$b Annie Aarup 801 0$bScCtBLL 801 1$bScCtBLL 906 $aBOOK 912 $a9910765766503321 996 $aStudent Development Dialogue SSD$94320281 997 $aUNINA