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Titlebook: An Introduction to Scientific Computing; Fifteen Computationa Ionut Danaila,Pascal Joly,Marie Postel Textbook 2023Latest edition The Editor

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發(fā)表于 2025-3-21 19:19:12 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱(chēng)An Introduction to Scientific Computing
期刊簡(jiǎn)稱(chēng)Fifteen Computationa
影響因子2023Ionut Danaila,Pascal Joly,Marie Postel
視頻videohttp://file.papertrans.cn/156/155467/155467.mp4
發(fā)行地址Steps of scientific computing, physical & mathematical description & discussion of numerical results.Range of applications from different scientific fields; provides complementary bibliography & study
圖書(shū)封面Titlebook: An Introduction to Scientific Computing; Fifteen Computationa Ionut Danaila,Pascal Joly,Marie Postel Textbook 2023Latest edition The Editor
影響因子.This book provides fifteen 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 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 textin 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...?..The second edition builds upon its earlier
Pindex Textbook 2023Latest edition
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https://doi.org/10.1007/978-3-662-38544-9ature at a prescribed value. This optimization problem is called an inverse problem: the temperature is the input and the resistances values are the outputs. For the numerical implementation, we use 2D triangular finite elements.
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發(fā)表于 2025-3-22 01:43:00 | 只看該作者
https://doi.org/10.1007/978-3-662-38544-9stems, ADI methods for the time-integration of Helmholtz-type problems, Fourier decomposition for periodic Poisson problems, etc. The performance of the method is illustrated by simulating simple, but very nice flows: Kelvin-Helmholtz instability, vortex evolution and vortex dipole interactions.
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,Fluid Dynamics: Solving the 2D Navier–Stokes Equations,stems, ADI methods for the time-integration of Helmholtz-type problems, Fourier decomposition for periodic Poisson problems, etc. The performance of the method is illustrated by simulating simple, but very nice flows: Kelvin-Helmholtz instability, vortex evolution and vortex dipole interactions.
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https://doi.org/10.1007/978-3-658-16305-1present discrete methods for the numerical integration of ODEs. These methods (or numerical schemes) are then used to study three PDEs, depending both on time and space variables, modeling convection, wave and heat propagation.
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發(fā)表于 2025-3-23 08:36:48 | 只看該作者
Offene Fragen und weitere Forschungsans?tze, etc.). The numerical solution of this type of system is a domain of study in itself with flourishing literature. This chapter presents two seminal examples of such problems along with their numerical treatment.
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