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Titlebook: Numerical Models for Differential Problems; Alfio Quarteroni Textbook 20091st edition Springer-Verlag Milan 2009 Analysis.Numerical modell

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发表于 2025-3-21 17:31:10 | 显示全部楼层 |阅读模式
书目名称Numerical Models for Differential Problems
编辑Alfio Quarteroni
视频video
概述Author faces here the basic concepts for the numerical modelling of partial differential equations.An outstanding reference work in this branch of applied mathematics.Includes supplementary material:
丛书名称MS&A
图书封面Titlebook: Numerical Models for Differential Problems;  Alfio Quarteroni Textbook 20091st edition Springer-Verlag Milan 2009 Analysis.Numerical modell
描述.In this text, we introduce the basic concepts for the numerical modelling of partial  differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. ..The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics..
出版日期Textbook 20091st edition
关键词Analysis; Numerical modelling; PDE; algorithms; finite element method; hyperbolic equation; partial differ
版次1
doihttps://doi.org/10.1007/978-88-470-1071-0
isbn_ebook978-88-470-1071-0Series ISSN 2037-5255 Series E-ISSN 2037-5263
issn_series 2037-5255
copyrightSpringer-Verlag Milan 2009
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发表于 2025-3-21 20:15:13 | 显示全部楼层
a mixture of formal presentations and discussion. One topic currently generating a great deal of interest, and explored in several chapters here, is the search for topological structures in time-dependent flows, and their relationship with Lagrangian coherent structures. Contributors also focus on d
发表于 2025-3-22 03:36:18 | 显示全部楼层
a mixture of formal presentations and discussion. One topic currently generating a great deal of interest, and explored in several chapters here, is the search for topological structures in time-dependent flows, and their relationship with Lagrangian coherent structures. Contributors also focus on d
发表于 2025-3-22 07:07:06 | 显示全部楼层
a mixture of formal presentations and discussion. One topic currently generating a great deal of interest, and explored in several chapters here, is the search for topological structures in time-dependent flows, and their relationship with Lagrangian coherent structures. Contributors also focus on d
发表于 2025-3-22 09:33:09 | 显示全部楼层
a mixture of formal presentations and discussion. One topic currently generating a great deal of interest, and explored in several chapters here, is the search for topological structures in time-dependent flows, and their relationship with Lagrangian coherent structures. Contributors also focus on d
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itions under which we can resolve the correspondence problem based on region overlap techniques, and the uniqueness and uncertainty associated with such techniques. These conditions also give a theoretical basis for visualizing the piecewise linear realizations of critical point trajectories over time.
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