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003			BD-SySUS
005			20160413122401.0
007			cr nn 008mamaa
008			130125s2013 gw | s |||| 0|eng d
020			_a9783642275555 _9978-3-642-27555-5
024	7		_a10.1007/978-3-642-27555-5 _2doi
050		4	_aQA372
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.352 _223
100	1		_aLamour, René. _eauthor.
245	1	0	_aDifferential-Algebraic Equations: A Projector Based Analysis _h[electronic resource] / _cby René Lamour, Roswitha März, Caren Tischendorf.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2013.
300			_aXXVII, 649 p. 24 illus., 19 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aDifferential-Algebraic Equations Forum
505	0		_aNotations -- Introduction -- Part I. Projector based approach -- 1 Linear constant coefficient DAEs.-.2 Linear DAEs with variable coefficients -- 3 Nonlinear DAEs -- Part II. Index-1 DAEs: Analysis and numerical treatment -- 4 Analysis -- 5 Numerical integration -- 6 Stability issues -- Part III. Computational aspects -- 7 Computational linear algebra aspects -- 8 Aspects of the numerical treatment of higher index DAEs -- Part IV. Advanced topics -- 9 Quasi-regular DAEs -- 10 Nonregular DAEs -- 11 Minimization with constraints described by DAEs -- 12 Abstract differential algebraic equations -- A. Linear Algebra – Basics.-.B. Technical Computations -- C Analysis -- References -- Index.
520			_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.
650		0	_aMathematics.
650		0	_aDifferential equations.
650		0	_aApplied mathematics.
650		0	_aEngineering mathematics.
650		0	_aComputer mathematics.
650	1	4	_aMathematics.
650	2	4	_aOrdinary Differential Equations.
650	2	4	_aApplications of Mathematics.
650	2	4	_aComputational Mathematics and Numerical Analysis.
700	1		_aMärz, Roswitha. _eauthor.
700	1		_aTischendorf, Caren. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642275548
830		0	_aDifferential-Algebraic Equations Forum
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-27555-5
912			_aZDB-2-SMA
942			_2Dewey Decimal Classification _ceBooks
999			_c45758 _d45758