000			03164nam a22003618i 4500
001			CR9780511995569
003			UkCbUP
005			20200124160219.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			101018s2009||||enk o ||1 0|eng|d
020			_a9780511995569 (ebook)
020			_z9780521734905 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA371 _b.I813 2009
082	0	0	_a518/.6 _222
100	1		_aIserles, A., _eauthor.
245	1	2	_aA first course in the numerical analysis of differential equations / _cArieh Iserles.
250			_aSecond edition.
264		1	_aCambridge : _bCambridge University Press, _c2009.
300			_a1 online resource (xviii, 459 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge texts in applied mathematics ; _v44
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aPreface to the first edition; Preface to the second edition; Flowchart of contents; Part I. Ordinary differential equations: 1. Euler's method and beyond; 2. Multistep methods; 3. Runge-Kutta methods; 4. Stiff equations; 5. Geometric numerical integration; 6. Error control; 7. Nonlinear algebraic systems; Part II. The Poisson equation: 8. Finite difference schemes; 9. The finite element method; 10. Spectral methods; 11. Gaussian elimination for sparse linear equations; 12. Classical iterative methods for sparse linear equations; 13. Multigrid techniques; 14. Conjugate gradients; 15. Fast Poisson solvers; Part III. Partial differential equations of evolution: 16. The diffusion equation; 17. Hyperbolic equations; Appendix. Bluffer's guide to useful mathematics: A.1. Linear algebra; A.2. Analysis; Bibliography; Index.
520			_aNumerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The exposition maintains a balance between theoretical, algorithmic and applied aspects. This second edition has been extensively updated, and includes new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients. Other topics covered include multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; and a variety of algorithms to solve large, sparse algebraic systems.
650		0	_aDifferential equations _xNumerical solutions.
776	0	8	_iPrint version: _z9780521734905
830		0	_aCambridge texts in applied mathematics ; _v44.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511995569
999			_c516579 _d516577