000 | 02865nam a22005295i 4500 | ||
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001 | u376713 | ||
003 | SIRSI | ||
005 | 20160812084427.0 | ||
007 | cr nn 008mamaa | ||
008 | 110914s2011 gw | s |||| 0|eng d | ||
020 |
_a9783642238994 _9978-3-642-23899-4 |
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040 | _cMX-MeUAM | ||
050 | 4 | _aQA71-90 | |
082 | 0 | 4 |
_a518 _223 |
082 | 0 | 4 |
_a518 _223 |
100 | 1 |
_aDeuflhard, Peter. _eauthor. |
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245 | 1 | 0 |
_aNewton Methods for Nonlinear Problems _h[recurso electrónico] : _bAffine Invariance and Adaptive Algorithms / _cby Peter Deuflhard. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011. |
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300 |
_aXII, 424p. 49 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aSpringer Series in Computational Mathematics, _x0179-3632 ; _v35 |
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520 | _aThis book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (algebraic systems) and in infinite dimension (ordinary and partial differential equations). Its focus is on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. The term 'affine invariance' means that the presented algorithms and their convergence analysis are invariant under one out of four subclasses of affine transformations of the problem to be solved. Compared to traditional textbooks, the distinguishing affine invariance approach leads to shorter theorems and proofs and permits the construction of fully adaptive algorithms. Lots of numerical illustrations, comparison tables, and exercises make the text useful in computational mathematics classes. At the same time, the book opens many directions for possible future research. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aComputer science. | |
650 | 0 | _aDifferential Equations. | |
650 | 0 |
_aComputer science _xMathematics. |
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650 | 0 | _aMathematical optimization. | |
650 | 0 | _aEngineering mathematics. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aComputational Mathematics and Numerical Analysis. |
650 | 2 | 4 | _aComputational Science and Engineering. |
650 | 2 | 4 | _aOrdinary Differential Equations. |
650 | 2 | 4 | _aAppl.Mathematics/Computational Methods of Engineering. |
650 | 2 | 4 | _aOptimization. |
650 | 2 | 4 | _aMath Applications in Computer Science. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642238987 |
830 | 0 |
_aSpringer Series in Computational Mathematics, _x0179-3632 ; _v35 |
|
856 | 4 | 0 |
_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-23899-4 |
596 | _a19 | ||
942 | _cLIBRO_ELEC | ||
999 |
_c204593 _d204593 |