000 | 03414nam a22004697a 4500 | ||
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001 | sulb-eb0022927 | ||
003 | BD-SySUS | ||
005 | 20160413122326.0 | ||
007 | cr nn 008mamaa | ||
008 | 131206s2013 xxu| s |||| 0|eng d | ||
020 |
_a9781461484530 _9978-1-4614-8453-0 |
||
024 | 7 |
_a10.1007/978-1-4614-8453-0 _2doi |
|
050 | 4 | _aQA71-90 | |
072 | 7 |
_aPBKS _2bicssc |
|
072 | 7 |
_aMAT006000 _2bisacsh |
|
082 | 0 | 4 |
_a518 _223 |
100 | 1 |
_aCorless, Robert M. _eauthor. |
|
245 | 1 | 2 |
_aA Graduate Introduction to Numerical Methods _h[electronic resource] : _bFrom the Viewpoint of Backward Error Analysis / _cby Robert M. Corless, Nicolas Fillion. |
264 | 1 |
_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013. |
|
300 |
_aXXXIX, 869 p. 194 illus., 10 illus. in color. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
505 | 0 | _aComputer Arithmetic & Fundamental Concepts of Computation -- Polynomials and Series -- Rootfinding and Function Evaluation -- Solving Ax = b .- Solving Ax =l x -- Structured Linear Systems.-Iterative Methods -- Polynomial and Rational Interpolation -- The Discrete Fourier Transform -- Numerical Integration -- Numerical Differentiation and Finite Differences -- Numerical Solution of ODEs -- Numerical Methods for ODEs.- Numerical Solutions of Boundary Value Problems -- Numerical Solution of Delay DEs -- Numerical Solution of PDEs. | |
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 | 0 | _aMathematics. | |
650 | 0 | _aComputer mathematics. | |
650 | 0 | _aNumerical analysis. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aComputational Mathematics and Numerical Analysis. |
650 | 2 | 4 | _aComputational Science and Engineering. |
650 | 2 | 4 | _aNumerical Analysis. |
700 | 1 |
_aFillion, Nicolas. _eauthor. |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9781461484523 |
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-1-4614-8453-0 |
912 | _aZDB-2-SMA | ||
942 |
_2Dewey Decimal Classification _ceBooks |
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999 |
_c45019 _d45019 |