000 | 03257nam a22004815i 4500 | ||
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001 | 978-3-540-46832-5 | ||
003 | DE-He213 | ||
005 | 20190213151736.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1989 gw | s |||| 0|eng d | ||
020 |
_a9783540468325 _9978-3-540-46832-5 |
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024 | 7 |
_a10.1007/BFb0093947 _2doi |
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050 | 4 | _aQA297-299.4 | |
072 | 7 |
_aPBKS _2bicssc |
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072 | 7 |
_aMAT021000 _2bisacsh |
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072 | 7 |
_aPBKS _2thema |
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082 | 0 | 4 |
_a518 _223 |
100 | 1 |
_aHairer, Ernst. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 4 |
_aThe Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods _h[electronic resource] / _cby Ernst Hairer, Michel Roche, Christian Lubich. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1989. |
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300 |
_aX, 146 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1409 |
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505 | 0 | _aDescription of differential-algebraic problems -- Runge-Kutta methods for differential-algebraic equations -- Convergence for index 1 problems -- Convergence for index 2 problems -- Order conditions of Runge-Kutta methods for index 2 systems -- Convergence for index 3 problems -- Solution of nonlinear systems by simplified Newton -- Local error estimation -- Examples of differential-algebraic systems and their solution. | |
520 | _aThe term differential-algebraic equation was coined to comprise differential equations with constraints (differential equations on manifolds) and singular implicit differential equations. Such problems arise in a variety of applications, e.g. constrained mechanical systems, fluid dynamics, chemical reaction kinetics, simulation of electrical networks, and control engineering. From a more theoretical viewpoint, the study of differential-algebraic problems gives insight into the behaviour of numerical methods for stiff ordinary differential equations. These lecture notes provide a self-contained and comprehensive treatment of the numerical solution of differential-algebraic systems using Runge-Kutta methods, and also extrapolation methods. Readers are expected to have a background in the numerical treatment of ordinary differential equations. The subject is treated in its various aspects ranging from the theory through the analysis to implementation and applications. | ||
650 | 0 | _aNumerical analysis. | |
650 | 1 | 4 |
_aNumerical Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M14050 |
700 | 1 |
_aRoche, Michel. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aLubich, Christian. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662194782 |
776 | 0 | 8 |
_iPrinted edition: _z9783540518600 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1409 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0093947 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11728 _d11728 |