LEADER 03091nam 2200553 a 450 001 9910438153303321 005 20251116201821.0 010 $a9781299197510 010 $a1299197515 010 $a9783642275555 010 $a3642275559 024 7 $a10.1007/978-3-642-27555-5 035 $a(OCoLC)826126664 035 $a(MiFhGG)GVRL6XNI 035 $a(CKB)2670000000327976 035 $a(MiAaPQ)EBC1082430 035 $a(MiFhGG)9783642275555 035 $a(EXLCZ)992670000000327976 100 $a20130111d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aDifferential-algebraic equations $ea projector based analysis /$fRene Lamour, Roswitha Marz, Caren Tischendorf 205 $a1st ed. 2013. 210 $aNew York $cSpringer$d2013 215 $a1 online resource (xxvii, 649 pages) $cillustrations (some color) 225 0 $aDifferential-algebraic equations forum 300 $aDescription based upon print version of record. 311 08$a9783642275548 311 08$a3642275540 320 $aIncludes bibliographical references and index. 327 $apt. I. Projector based approach -- pt. II. Index-1 DAEs : analysis and numerical treatment -- pt. III. Computational aspects -- pt. IV. Advanced topics. 330 $aDifferential algebraic equations (DAEs), including so-called descriptor systems, began to attract significant research interest in applied and numerical mathematics in the early 1980s, no more than about three decades ago. In this relatively short time, DAEs have become a widely acknowledged tool to model processes subjected to certain constraints in order to simulate and to control processes in various application fields such as network simulation, chemical kinematics, mechanical engineering and systems biology. DAEs and their more abstract versions in infinite dimensional spaces comprise a great potential for the future mathematical modeling of complex coupled processes. The purpose of the book is to expose the impressive complexity of general DAEs from an analytical point of view, to describe the state of the art as well as open problems and in so doing to motivate further research of this versatile, extraordinary topic from a broader mathematical perspective. The book elaborates on a new general, structural analysis capturing linear and nonlinear DAEs in a hierarchical way. The DAE structure is exposed by means of special projector functions. Some issues on numerical integration and computational aspects are also treated in this context. . 410 0$aDifferential-algebraic equations forum. 606 $aDifferential-algebraic equations 615 0$aDifferential-algebraic equations. 676 $a515.38 700 $aLamour$b Rene?$01060989 701 $aMarz$b Roswitha$057418 701 $aTischendorf$b Caren$01753886 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438153303321 996 $aDifferential-algebraic equations$94189947 997 $aUNINA