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Record Nr. |
UNINA9911006839503321 |
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Autore |
Ascher U. M (Uri M.), <1946-> |
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Titolo |
A first course in numerical methods / / Uri M. Ascher, Chen Greif |
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Pubbl/distr/stampa |
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Philadelphia, Pa., : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2011 |
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ISBN |
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1-68015-785-X |
0-89871-998-4 |
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Descrizione fisica |
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1 online resource (xxii, 552 p. : |b ill. (some col.)) |
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Collana |
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Computational science and engineering series |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Numerical calculations - Data processing |
Numerical analysis |
Algorithms |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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. |
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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. |
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