03840nam 22006251a 450 991100683950332120260209204833.01-68015-785-X0-89871-998-410.1137/9780898719987(CKB)3810000000000418(SSID)ssj0001261310(PQKBManifestationID)12476487(PQKBTitleCode)TC0001261310(PQKBWorkID)11319963(PQKB)10678957(OCoLC)875013514(CaBNVSL)gtp00547930(PPN)194096173(SIAM)9780898719987(EXLCZ)993810000000000418CS07SIAM20110408d2011 uy 0engurbn||||m|||atxtccrA first course in numerical methods /Uri M. Ascher, Chen GreifPhiladelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)20111 online resource (xxii, 552 p. : |b ill. (some col.))Computational science and engineering seriesBibliographic Level Mode of Issuance: Monograph0-89871-997-6 Includes bibliographical references and index.List 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.This 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 MATLAB®, 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.Computational science and engineering series.Numerical calculationsData processingNumerical analysisAlgorithmsNumerical calculationsData processing.Numerical analysis.Algorithms.518/.4Ascher U. M(Uri M.),1946-21815Greif Chen1965-1822863Society for Industrial and Applied Mathematics.CaBNVSLCaBNVSLCaBNVSLBOOK9911006839503321A first course in numerical methods4389283UNINA