A first course in numerical methods / / Uri M. Ascher, Chen Greif

• Autore: Ascher U. M (Uri M.), <1946->
• Pubblicazione: Philadelphia, Pa., : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2011
• Descrizione fisica: 1 online resource (xxii, 552 p. : |b ill. (some col.))
• Disciplina: 518/.4
• Soggetto topico: Numerical calculations - Data processing; Numerical analysis; Algorithms
• Altri autori: GreifChen <1965->
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: A first course in numerical methods
• ISBN: 1-68015-785-X; 0-89871-998-4
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9911006839503321
• Lo trovi qui: Univ. Federico II
• Serie: Computational science and engineering series.