02739cam a2200385 i 4500 17938194 EG-ScBUE 20241029084641.0 131112t2013 nyua f b 001 0 eng d 9781461484523 (hbk.) 1461484529 (hbk.) (OCoLC)ocn857964213 BTCTA eng rda BTCTA UKMGB YDXCP GZM KIJ DLC EG-ScBUE 518 COR 22 Corless, Robert M., author. A graduate introduction to numerical methods : from the viewpoint of backward error analysis / Robert M. Corless, Nicolas Fillion. New York : Springer Science + Business Media, [2013] c2013 xxxix, 869 pages : illustrations ; 27 cm rdacontent text txt unmediated rdamedia n volume nc rdacarrier Includes bibliographical references and index. This 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. Numerical analysis Textbooks. BUEsh 41761 Error analysis (Mathematics) Textbooks. BUEsh Mathematics Methodology Textbooks. BUEsh Mathematics Study and teaching (Graduate) Textbooks. BUEsh BUEsh ENGELC April2018 Text book 33728 Fillion, Nicolas, 1981-. author. Online version: Corless, Robert M. Graduate introduction to numerical methods. New York, NY : Springer New York, 2013 (OCoLC)869010295 ddc BB 26458 26430 0 0 ddc 0 0 Baccah MAIN MAIN 1ST 2018-04-03 Purchase 0 518 COR 000043146 2025-07-15 00:00:00 2018-04-03 NB 0 0 ddc 0 0 Baccah MAIN MAIN 1ST 2018-04-03 Purchase 0 518 COR 000043147 2025-07-15 00:00:00 2018-04-03 BB 0 0 ddc 0 0 Baccah MAIN MAIN 1ST 2018-04-03 Purchase 0 518 COR 000043148 2025-07-15 00:00:00 2018-04-03 BB 0 0 ddc 0 0 Baccah MAIN MAIN 1ST 2018-04-03 Purchase 0 518 COR 000043149 2025-07-15 00:00:00 2018-04-03 BB