Verfasst von:	Deuflhard, Peter
Titel:	Newton methods for nonlinear problems
Titelzusatz:	affine invariance and adaptive algorithms
Verf.angabe:	Peter Deuflhard
Verlagsort:	Berlin [u.a.]
Verlag:	Springer
Jahr:	2004
Umfang:	XII, 424 S.
Illustrationen:	graph. Darst.
Format:	24 cm
Gesamttitel/Reihe:	Springer series in computational mathematics ; 35
Fussnoten:	Literaturverz. S. [405] - 415
ISBN:	3-540-21099-7
	978-3-540-21099-3
Abstract:	This 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 math classes. At the same time, the book opens many directions for possible future research
URL:	Cover: http://swbplus.bsz-bw.de/bsz111195810cov.htm
	Inhaltsverzeichnis ; Verlag: https://www.gbv.de/dms/bs/toc/379096560.pdf
	Inhaltstext: https://zbmath.org/?q=an:1056.65051
	Verlag: http://www.loc.gov/catdir/enhancements/fy0815/2004102666-b.html
	Verlag: http://www.loc.gov/catdir/enhancements/fy0815/2004102666-d.html
Schlagwörter:	(s)Nichtlineare algebraische Gleichung    / (s)Nichtlineare Differentialgleichung    / (s)Newton-Verfahren
	(s)Nichtlineare Differentialgleichung    / (s)Newton-Verfahren
Sprache:	eng
Sonstige Nr.:	Identnummer: 2004102666
RVK-Notation:	SK 920
	SI 990
K10plus-PPN:	379096560
Verknüpfungen:	→ Übergeordnete Aufnahme