LEADER 03012nam 22005415 450 001 9910299962403321 005 20220415183657.0 010 $a3-319-00786-6 024 7 $a10.1007/978-3-319-00786-1 035 $a(CKB)3710000000074625 035 $a(EBL)1593012 035 $a(SSID)ssj0001067949 035 $a(PQKBManifestationID)11673264 035 $a(PQKBTitleCode)TC0001067949 035 $a(PQKBWorkID)11092343 035 $a(PQKB)11740273 035 $a(MiAaPQ)EBC1593012 035 $a(DE-He213)978-3-319-00786-1 035 $z(PPN)258866586 035 $a(PPN)176103341 035 $a(EXLCZ)993710000000074625 100 $a20131115d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSingular phenomena and scaling in mathematical models$b[electronic resource] /$fedited by Michael Griebel 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (432 p.) 300 $aDescription based upon print version of record. 311 $a3-319-00785-8 320 $aIncludes bibliographical references. 327 $aPreface -- Area A ? Scaling Limits of Diffusion Processes and Singular Spaces -- Area B ? Multiple Scales in Mathematical Models of Materials Science and Biology -- Area C ? Numerics for Multiscale Models and Singular Phenomena. 330 $aThe book integrates theoretical analysis, numerical simulation and modeling approaches for the treatment of singular phenomena. The projects covered focus on actual applied problems, and develop qualitatively new and mathematically challenging methods for various problems from the natural sciences. Ranging from stochastic and geometric analysis over nonlinear analysis and modelling to numerical analysis and scientific computation, the book is divided into the three sections: A) Scaling limits of diffusion processes and singular spaces, B) Multiple scales in mathematical models of materials science and biology and C) Numerics for multiscale models and singular phenomena. Each section addresses the key aspects of multiple scales and model hierarchies, singularities and degeneracies, and scaling laws and self-similarity. 606 $aComputer mathematics 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 615 0$aComputer mathematics. 615 14$aComputational Science and Engineering. 615 24$aComputational Mathematics and Numerical Analysis. 676 $a511.8 702 $aGriebel$b Michael$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910299962403321 996 $aSingular phenomena and scaling in mathematical models$91410162 997 $aUNINA