LEADER 03840nam 22006251a 450 001 9911006839503321 005 20241120175231.0 010 $a1-68015-785-X 010 $a0-89871-998-4 024 7 $a10.1137/9780898719987 035 $a(CKB)3810000000000418 035 $a(SSID)ssj0001261310 035 $a(PQKBManifestationID)12476487 035 $a(PQKBTitleCode)TC0001261310 035 $a(PQKBWorkID)11319963 035 $a(PQKB)10678957 035 $a(OCoLC)875013514 035 $a(CaBNVSL)gtp00547930 035 $a(PPN)194096173 035 $a(SIAM)9780898719987 035 $a(EXLCZ)993810000000000418 071 50$aCS07$bSIAM 100 $a20110408d2011 uy 0 101 0 $aeng 135 $aurbn||||m|||a 181 $ctxt 182 $cc 183 $acr 200 12$aA first course in numerical methods /$fUri M. Ascher, Chen Greif 210 $aPhiladelphia, Pa. $cSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)$d2011 215 $a1 online resource (xxii, 552 p. : |b ill. (some col.)) 225 1 $aComputational science and engineering series 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-89871-997-6 320 $aIncludes bibliographical references and index. 327 $aList of figures -- List of tables -- Preface -- Chapter 1. Numerical algorithms -- Chapter 2. Roundoff errors -- Chapter 3. Nonlinear equations in one variable -- Chapter 4. Linear algebra background -- Chapter 5. Linear systems: direct methods -- Chapter 6. Linear least squares problems -- Chapter 7. Linear systems: iterative methods -- Chapter 8. Eigenvalues and singular values -- Chapter 9. Nonlinear systems and optimization -- Chapter 10. Polynomial interpolation -- Chapter 11. Piecewise polynomial interpolation -- Chapter 12. Best approximation -- Chapter 13. Fourier Transform -- Chapter 14. Numerical differentiation -- Chapter 15. Numerical integration -- Chapter 16. Differential equations -- Bibliography -- Index. 330 $aThis book is designed for students and researchers who seek practical knowledge of modern techniques in scientific computing. Avoiding encyclopedic and heavily theoretical exposition, the book provides an in-depth treatment of fundamental issues and methods, the reasons behind the success and failure of numerical software, and fresh and easy-to-follow approaches and techniques. The authors focus on current methods, issues, and software while providing a comprehensive theoretical foundation, enabling those who need to apply the techniques to successfully design solutions to nonstandard problems. The book also illustrates algorithms using the programming environment of MATLABĀ®, with the expectation that the reader will gradually become proficient in it while learning the material covered in the book. A variety of exercises are provided within each chapter along with review questions aimed at self-testing. The book takes an algorithmic approach, focusing on techniques that have a high level of applicability to engineering, computer science, and industrial mathematics. 410 0$aComputational science and engineering series. 606 $aNumerical calculations$xData processing 606 $aNumerical analysis 606 $aAlgorithms 615 0$aNumerical calculations$xData processing. 615 0$aNumerical analysis. 615 0$aAlgorithms. 676 $a518/.4 700 $aAscher$b U. M$g(Uri M.),$f1946-$021815 701 $aGreif$b Chen$f1965-$01822863 712 02$aSociety for Industrial and Applied Mathematics. 801 0$bCaBNVSL 801 1$bCaBNVSL 801 2$bCaBNVSL 906 $aBOOK 912 $a9911006839503321 996 $aA first course in numerical methods$94389283 997 $aUNINA