This book demonstrates scientific computing by presenting twelve computational projects in several disciplines including Fluid Mechanics, Thermal Science, Computer Aided Design, Signal Processing and more. Each follows typical steps of scientific computing, from physical and mathematical description, to numerical formulation and programming and critical discussion of results. The text teaches practical methods not usually available in basic textbooks: numerical checking of accuracy, choice of boundary conditions, effective solving of linear systems, comparison to exact solutions and more. The final section of each project contains the solutions to proposed exercises and guides the reader in using the MATLAB scripts available online.
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This book provides twelve computational projects aimed at numerically solving problems from a broad range of applications including Fluid Mechanics, Chemistry, Elasticity, Thermal Science, Computer Aided Design, Signal and Image Processing. For each project the reader is guided through the typical steps of scientific computing from physical and mathematical description of the problem, to numerical formulation and programming and finally to critical discussion of numerical results. Considerable emphasis is placed on practical issues of computational methods. The last section of each project contains the solutions to all proposed exercises and guides the reader in using the MATLAB scripts. The mathematical framework provides a basic foundation in the subject of numerical analysis of partial differential equations and main discretization techniques, such as finite differences, finite elements, spectral methods and wavelets).
The book is primarily intended as a graduate-level text in applied mathematics, but it may also be used by students in engineering or physical sciences. It will also be a useful reference for researchers and practicing engineers.
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Gebunden. Zustand: New. MATLAB computer programs for each application-project are made available from the Web site of the Editor Versions using the share-ware language Scilab are provided Complementary bibliography is provided with each project Web page fo. Artikel-Nr. 458429040
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Hardcover. Zustand: Neu. Neu Neuware, Importqualität, auf Lager - Teaching or learning numerical methods in applied mathematics cannot be conceived nowadays without numerical experimentation on computers. There is a vast literature devoted either to theoretical numerical methods or - merical programming of basic algorithms, but there are few texts o ering a complete discussion of numerical issues involved in the solution of concrete and relatively complex problems. This book is an attempt to ll this need. It is our belief that advantages and drawbacks of a numerical method cannot be accounted for without one's experiencing all the steps of scienti c comp- ing, from physical and mathematical description of the problem to numerical formulation and programming and, nally, to critical discussion of numerical results. The book provides twelve computational projects aimed at numerically solving problems selected to cover a broad spectrum of applications, from uid mechanics, chemistry, elasticity, thermal science, computer-aided design, signal and imageprocessing, etc. Even though the main volume of this text concerns the numerical analysis of computational methods and their imp- mentation, we have tried to start, when possible, from realistic problems of practical interest for researchers and engineers. For each project, an introductory record card summarizes the mathem- ical and numerical topics explained and the elds of application of the - proach. A level of di culty, scaling from 1 to 3, is assigned to each project. Artikel-Nr. INF1000775356
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Buch. Zustand: Neu. Neuware - Teaching or learning numerical methods in applied mathematics cannot be conceived nowadays without numerical experimentation on computers. There is a vast literature devoted either to theoretical numerical methods or - merical programming of basic algorithms, but there are few texts o ering a complete discussion of numerical issues involved in the solution of concrete and relatively complex problems. This book is an attempt to ll this need. It is our belief that advantages and drawbacks of a numerical method cannot be accounted for without one's experiencing all the steps of scienti c comp- ing, from physical and mathematical description of the problem to numerical formulation and programming and, nally, to critical discussion of numerical results. The book provides twelve computational projects aimed at numerically solving problems selected to cover a broad spectrum of applications, from uid mechanics, chemistry, elasticity, thermal science, computer-aided design, signal and imageprocessing, etc. Even though the main volume of this text concerns the numerical analysis of computational methods and their imp- mentation, we have tried to start, when possible, from realistic problems of practical interest for researchers and engineers. For each project, an introductory record card summarizes the mathem- ical and numerical topics explained and the elds of application of the - proach. A level of di culty, scaling from 1 to 3, is assigned to each project. Artikel-Nr. 9780387308890
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