| 000 | 02599cam a22003495a 4500 | ||
|---|---|---|---|
| 001 | 17938194 | ||
| 005 | 20180403103604.0 | ||
| 008 | 131112t2013 nyua frb 001 0 eng d | ||
| 010 | _a 2013955042 | ||
| 016 | 7 |
_a016495290 _2Uk |
|
| 020 | _a9781461484523 (hbk.) | ||
| 020 | _a1461484529 (hbk.) | ||
| 035 | _a(OCoLC)ocn857964213 | ||
| 040 |
_aBTCTA _beng _cBTCTA _dUKMGB _dYDXCP _dGZM _dKIJ _dDLC _dEG-ScBUE |
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| 082 | 0 | 4 |
_a518 _bCOR _222 |
| 100 | 1 | _aCorless, Robert M. | |
| 245 | 1 | 2 |
_aA graduate introduction to numerical methods : _bfrom the viewpoint of backward error analysis / _cRobert M. Corless, Nicolas Fillion. |
| 260 |
_aNew York : _bSpringer Science + Business Media, _cc.2013. |
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| 300 |
_axxxix, 869 p. : _bill. ; _c27 cm. |
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| 504 | _aIncludes bibliographical references and index. | ||
| 520 | _aThis book provides an extensive introduction to numerical computing from the viewpoint of backward error analysis. The intended audience includes students and researchers in science, engineering and mathematics. The approach taken is somewhat informal owing to the wide variety of backgrounds of the readers, but the central ideas of backward error and sensitivity (conditioning) are systematically emphasized. The book is divided into four parts: Part I provides the background preliminaries including floating-point arithmetic, polynomials and computer evaluation of functions; Part II covers numerical linear algebra; Part III covers interpolation, the FFT and quadrature; and Part IV covers numerical solutions of differential equations including initial-value problems, boundary-value problems, delay differential equations and a brief chapter on partial differential equations. The book contains detailed illustrations, chapter summaries and a variety of exercises as well as some Matlab codes provided online as supplementary material. 'I really like the focus on backward error analysis and condition. This is novel in a textbook and a practical approach that will bring welcome attention." Lawrence F. Shampine. | ||
| 650 | 7 |
_aNumerical analysis _vTextbooks. _2BUEsh _941761 |
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| 650 | 7 |
_aError analysis (Mathematics) _vTextbooks. _2BUEsh |
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| 650 | 7 |
_aMathematics _xMethodology _vTextbooks. _2BUEsh |
|
| 650 | 7 |
_aMathematics _xStudy and teaching (Graduate) _vTextbooks. _2BUEsh |
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| 651 | _2BUEsh | ||
| 653 |
_bENGELC _cApril2018 |
||
| 655 |
_vText book _933728 |
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| 700 | 1 |
_aFillion, Nicolas, _d1981-. |
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| 776 | 0 | 8 |
_iOnline version: _aCorless, Robert M. _tGraduate introduction to numerical methods. _dNew York, NY : Springer New York, 2013 _w(OCoLC)869010295 |
| 942 | _2ddc | ||
| 999 |
_c26458 _d26430 |
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