| Edition |
1st ed. |
| Description |
1 online resource (ix, 248 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
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text file |
| Series |
Mathematics in science and engineering, 0076-5392 ; v. 201 |
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Mathematics in science and engineering ; v. 201. 0076-5392
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| Summary |
The book Computational Error and Complexity in Science and Engineering pervades all the science and engineering disciplines where computation occurs. Scientific and engineering computation happens to be the interface between the mathematical model/problem and the real world application. One needs to obtain good quality numerical values for any real-world implementation. Just mathematical quantities symbols are of no use to engineers/technologists. Computational complexity of the numerical method to solve the mathematical model, also computed along with the solution, on the other hand, will tell us how much computation/computational effort has been spent to achieve that quality of result. Anyone who wants the specified physical problem to be solved has every right to know the quality of the solution as well as the resources spent for the solution. The computed error as well as the complexity provide the scientific convincing answer to these questions. Specifically some of the disciplines in which the book will be readily useful are (i) Computational Mathematics, (ii) Applied Mathematics/Computational Engineering, Numerical and Computational Physics, Simulation and Modelling. Operations Research (both deterministic and stochastic), Computing Methodologies, Computer Applications, and Numerical Methods in Engineering. Key Features: - Describes precisely ready-to-use computational error and complexity - Includes simple easy-to-grasp examples wherever necessary. - Presents error and complexity in error-free, parallel, and probabilistic methods. - Discusses deterministic and probabilistic methods with error and complexity. - Points out the scope and limitation of mathematical error-bounds. - Provides a comprehensive up-to-date bibliography after each chapter. Describes precisely ready-to-use computational error and complexity Includes simple easy-to-grasp examples wherever necessary. Presents error and complexity in error-free, parallel, and probabilistic methods. Discusses deterministic and probabilistic methods with error and complexity. Points out the scope and limitation of mathematical error-bounds. Provides a comprehensive up-to-date bibliography after each chapter. |
| Contents |
Preface -- I. Introduction -- II. Error: Precisely What, Why, and How -- III. Complexity: What, Why, and How -- IV. Errors and Approximations in Digital Computers -- V. Error and Complexity in Numerical Methods -- VI. Error and Complexity in Error-Free, Parallel, and Probabilistic Computations. |
| Bibliography |
Includes bibliographical references and index. |
| Note |
Print version record. |
| Subject |
Engineering mathematics.
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Approximation theory.
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Mathématiques de l'ingénieur.
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Théorie de l'approximation.
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TECHNOLOGY & ENGINEERING -- Engineering (General)
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TECHNOLOGY & ENGINEERING -- Reference.
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Approximation theory
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Engineering mathematics
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| Added Author |
Sen, S. K. (Syamal Kumar), 1942-
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| Other Form: |
Print version: Lakshmikantham, V., 1926- Computational error and complexity in science and engineering. 1st ed. Amsterdam ; Boston : Elsevier, 2005 9780444518606 0444518606 (DLC) 2005040038 (OCoLC)57722491 |
| ISBN |
9780444518606 |
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0444518606 |
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008045951X (electronic bk.) |
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9780080459516 (electronic bk.) |
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1280634030 |
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9781280634031 |
| Standard No. |
AU@ 000048129589 |
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AU@ 000062569550 |
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CHNEW 001006637 |
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DEBBG BV036962349 |
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DEBBG BV039830217 |
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DEBBG BV042317346 |
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DEBSZ 276135040 |
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DEBSZ 482355824 |
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NZ1 12435149 |
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YDXCP 2491316 |
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AU@ 000059688966 |
|
