This book demonstrates scientific computing by presenting twelve computational projects spanning a broad spectrum of disciplines including Fluid Mechanics, Chemistry, Elasticity, Thermal Science, Computer Aided Design, Signal and Image Processing and more. Each project guides the reader through typical steps of scientific computing, from physical and mathematical description of the problem, to numerical formulation and programming and finally to critical discussion of results. The text teaches practical computational methods which are not usually available in basic textbooks: numerical checking of accuracy or stability, choice of boundary conditions, effective solving of linear systems, comparison to exact solutions and more. Programming techniques such as vectorial programming and memory storage optimization are addressed, and chapter-ending references form a guide for further reading. 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 demonstrates scientific computing by presenting twelve computational projects spanning a broad spectrum of disciplines including Fluid Mechanics, Chemistry, Elasticity, Thermal Science, Computer Aided Design, Signal and Image Processing, and offers practical methods not usually included in basic textbooks.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Hardcover. Etat : 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. N° de réf. du vendeur INF1000775356
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