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Titlebook: An Introduction to Scientific Computing; Twelve Computational Ionut Danaila,Pascal Joly,Marie Postel Textbook 20071st edition Springer-Verl

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发表于 2025-3-21 18:53:31 | 显示全部楼层 |阅读模式
期刊全称An Introduction to Scientific Computing
期刊简称Twelve Computational
影响因子2023Ionut Danaila,Pascal Joly,Marie Postel
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发行地址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 provid
图书封面Titlebook: An Introduction to Scientific Computing; Twelve Computational Ionut Danaila,Pascal Joly,Marie Postel Textbook 20071st edition Springer-Verl
影响因子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 proble
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Nonlinear Differential Equations: Application to Chemical Kinetics,rent participating molecules, these equations are nonlinear and present interesting mathematical properties (stability, periodicity, bifurcation, etc.). The numerical solution of this type of system is a domain of study in itself with a flourishing literature. Very efficient numerical methods to sol
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Signal Processing: Multiresolution Analysis,tical and practical developments in engineering applications. Over the past two decades, wavelet functions have proven to be a very efficient tool for dealing with problems arising from data compression, and signal and image processing. Famous examples of applications are the FBI fingerprint databas
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Domain Decomposition Using a Schwarz Method, can have both large size and complex shape. In most cases, the selected numerical method requires that one discretize the domain, and the number of degrees of freedom can easily be more than what the available computer will handle. Modeling of the air flow around an aircraft with 3D finite elements
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,Geometrical Design: Bézier Curves and Surfaces,teraided geometric design (CAGD). These descriptions are commonly obtained using basic elements: points, curves, surfaces, and volumes. Elementary tools used to handle these elements are mathematical functions such as polynomials and rational functions, which allow easy graphical representation in m
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Gas Dynamics: The Riemann Problem and Discontinuous Solutions: Application to the Shock Tube Probleasic notions about nonlinear hyperbolic systems of partial differential equations (PDEs). From a numerical point of view, this problem constitutes, since the exact solution is known, an inevitable and difficult test case for any numerical method dealing with discontinuous solutions. Finally, there i
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Thermal Engineering: Optimization of an Industrial Furnace,e made resin pieces, such as car bumpers. The heating system is based on electric resistances, and the first part of this study is to compute the temperature field inside the oven when the values of the resistances are known. This work is called the . problem: the resistances’ values are known and t
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