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Computer arithmetic and self-validating numerical methods /
Computer Arithmetic and Self-Validating Numerical Methods.
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boston :
Academic Press, Inc.,
1990.
|
| Colección: | Notes and reports in mathematics in science and engineering ;
v. 7. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Computer arithmetic and self-validating numerical methods / |c edited by Christian Ullrich. |
| 260 | |a Boston : |b Academic Press, Inc., |c 1990. | ||
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Notes and reports in mathematics in science and engineering ; |v volume 7 | |
| 500 | |a Proceedings of an international conference held Oct. 2-6, 1989, Basel. | ||
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 506 | |3 Use copy |f Restrictions unspecified |5 MiAaHDL |2 star | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |5 MiAaHDL |2 pda | |
| 505 | 0 | |a Front Cover; Computer Arithmetic and Self-Validating Numerical Methods; Copyright Page; Table of Contents; Contributors; Preface; Acknowledgments; Chapter 1. What Do We Need Beyond IEEE Arithmetic?; 1 Introduction; 2 Scalar products and IEEE arithmetic; 3 Algorithms for the scalar product; 4 Problems and suggestions; 5 Designs and implementations; 6 Conclusions; References; Chapter 2. Chips for High Precision Arithmetic; 1. Introduction; 2. Exploration of the Design Space; 3. Architecture of the ARITHMOS Processor; 4. Architecture Evaluation; 5. Conclusions; Acknowledgement; References | |
| 505 | 8 | |a Chapter 3. Enclosure Methods1. Introduction; 2. Notation; 3. Interval arithmetic evaluation; 4. Outlook; References; Chapter 4. Differentiation Arithmetics; 1. Evaluation Arithmetics; 2. Code List Representation of Functions; 3. Formal Power Series Arithmetic; 4. Automatic Differentiation; 5. Taylor Arithmetics; 6. Rounded Taylor Arithmetic; 7. Partial Derivatives; 8. Gradient and Hessian Arithmetic; 9. Serial Computation of Gradients and Hessians; 10. Parallel Implementation of Differentiation Arithmetics; References; Chapter 5. Industrial Applications of Interval Techniques; 1. Introduction | |
| 505 | 8 | |a 2. High Accuracy3. When should interval techniques be considered?; 4. An example -- Least squares; 5. An example -- Nonlinear systems; 6. What are some limitations of interval techniques?; 7. What should you DO?; Acknowledgments; References; Chapter 6. Programming Languages for Enclosure Methods; 1 Introduction; 2 The Role of Arithmetic; 3 New Developments; 4 New Datatype Dotprecision; 5 Scalar Product Expressions; 6 Program Parts with Highly Accurate Evaluation of Expressions; 7 Final Remarks; References | |
| 505 | 8 | |a Chapter 7. The Determination of Guaranteed Bounds to Eigenvalues with the Use of Variational MethodsI1. Introduction; 2. Eigenvalue problems with bilinear forms; 3. Determination of guaranteed bounds to eigenvalues by means of matrix eigenvalue problems; 4. Inclusion theorems and variational methods; 6. Further numerical tests; Chapter 8. The Determination of Guaranteed Bounds to Eigenvalues with the Use of Variational MethodsII; 1 Introduction; 2 Matrix eigenvalue problems; 3 An eigenvalue problem with an ordinary differential equation; References | |
| 505 | 8 | |a Chapter 9. Validated Solution of Initial Value Problems forODEIntroduction; 1 The Method, Areas for Improvement; 2 Accuracy Control; 3 Minimizing the Effort; 4 A priori Inclusion; 5 Representation of Inclusion Sets; 6 Stiff Systems; References; Chapter 10. Guaranteed Inclusions of Solutions of some Types of Boundary Value Problems; 1. Introduction and operators of monotonie type; 2. Choice of a suitable class of approximating functions; 3. The algorithm; 4. Interval-Analysis; 5. Some remarks for the numerical computation; 6. Some classes of operators of montonic type | |
| 520 | |a Computer Arithmetic and Self-Validating Numerical Methods. | ||
| 650 | 0 | |a Computer arithmetic |v Congresses. | |
| 650 | 0 | |a Numerical analysis |v Congresses. | |
| 650 | 6 | |a Arithm�etique interne des ordinateurs |0 (CaQQLa)201-0017989 |v Congr�es. |0 (CaQQLa)201-0378219 | |
| 650 | 6 | |a Analyse num�erique |0 (CaQQLa)201-0021900 |v Congr�es. |0 (CaQQLa)201-0378219 | |
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| 700 | 1 | |a Ullrich, Christian, |e editor. | |
| 776 | 0 | 8 | |i Print version: |a Ullrich, Christian. |t Computer Arithmetic and Self-Validating Numerical Methods. |d Burlington : Elsevier Science, �2014 |z 9780127082455 |
| 830 | 0 | |a Notes and reports in mathematics in science and engineering ; |v v. 7. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780127082455 |z Texto completo |