000			02628cam a22003258a 4500
001			00009770
003			WSP
005			20230530094647.0
007			cr cn|||||||||
008			151028s2016 si a ob 001 0 eng
010			_a 2015031782
020			_a9789814719506 (ebook)
040			_aWSPC _beng _cWSPC
050	0	4	_aQA371 _b.L68 2016
082	0	4	_a515.35 _223
100	1		_aLoustau, John
245	1	0	_aNumerical Differential Equations : _bTheory and Technique, ODE Methods, Finite Differences, Finite Elements and Collocation
260			_aSingapore : _bWorld Scientific Pub. Co., _c©2016.
300			_a384 p.
500			_aTitle from PDF file title page (viewed March 22, 2016).
504			_aIncludes bibliographical references (p. 353-356) and index.
520			_a"This text presents numerical differential equations to graduate (doctoral) students. It includes the three standard approaches to numerical PDE, FDM, FEM and CM, and the two most common time stepping techniques, FDM and Runge-Kutta. We present both the numerical technique and the supporting theory. The applied techniques include those that arise in the present literature. The supporting mathematical theory includes the general convergence theory. This material should be readily accessible to students with basic knowledge of mathematical analysis, Lebesgue measure and the basics of Hilbert spaces and Banach spaces. Nevertheless, we have made the book free standing in most respects. Most importantly, the terminology is introduced, explained and developed as needed. The examples presented are taken from multiple vital application areas including finance, aerospace, mathematical biology and fluid mechanics. The text may be used as the basis for several distinct lecture courses or as a reference. For instance, this text will support a general applications course or an FEM course with theory and applications. The presentation of material is empirically-based as more and more is demanded of the reader as we progress through the material. By the end of the text, the level of detail is reminiscent of journal articles. Indeed, it is our intention that this material be used to launch a research career in numerical PDE."--Provided by publisher.
533			_aElectronic reproduction. _bSingapore : _cWorld Scientific, _d[2015]
538			_aMode of access: World Wide Web.
650		0	_aDifferential equations _vTextbooks.
650		0	_aDifferential equations _xStudy and teaching (Graduate)
650		0	_aElectronic books.
856	4	0	_uhttp://www.worldscientific.com/worldscibooks/10.1142/9770 _zebook
942			_2ddc _cEBK
999			_c2381 _d2381