000 02865nam a22005295i 4500
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
040 _cMX-MeUAM
050 4 _aQA71-90
082 0 4 _a518
_223
082 0 4 _a518
_223
100 1 _aDeuflhard, Peter.
_eauthor.
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.
300 _aXII, 424p. 49 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Series in Computational Mathematics,
_x0179-3632 ;
_v35
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.
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