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Titlebook: Numerical Mathematics and Advanced Applications; Proceedings of ENUMA Franco Brezzi,Annalisa Buffa,Almerico Murli Conference proceedings 20

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书目名称Numerical Mathematics and Advanced Applications
副标题Proceedings of ENUMA
编辑Franco Brezzi,Annalisa Buffa,Almerico Murli
视频videohttp://file.papertrans.cn/670/669025/669025.mp4
概述Contains major lectures given at ENUMATH 2001, the 4th European Conference on Numerical Mathematics and Advanced Applications.Invaluable instrument for getting a wide range perspective together with a
图书封面Titlebook: Numerical Mathematics and Advanced Applications; Proceedings of ENUMA Franco Brezzi,Annalisa Buffa,Almerico Murli Conference proceedings 20
描述Scientific computing is a fast growing and fast changing area whose applications to various branches of science, engineering, medicine, economics (and others) are increasing in number and relevance every day. There are two main reasons (among others) that make scientific computing change so rapidly. One is the increasing number of different research areas beginning to make use of numerical simulation: from nanotechnology to genomics, from computer­ aided diagnosis and operations in medical applications (which involve often com­ plete simulations of parts of the human body) to economics and finance. Each new application, and each new aspect of earlier applications, draws heavily on the know­ how that has been acquired on other problems with similar mathematical features. It has to be pointed out that the lofty perspective of mathematics succeeds quite often in finding connections among very different phenomena, that tum out in the end to share the same mathematical and numerical structure. In tum, new applica­ tions contribute to the cross-fertilization by "sending back" new interpretations and suggestions which are often useful in more classical applications. All this creates a res
出版日期Conference proceedings 2003
关键词Applied Mathematics; Numerical; Numerical Mathematics; differential equation; finite element method; nume
版次1
doihttps://doi.org/10.1007/978-88-470-2089-4
isbn_softcover978-88-470-2167-9
isbn_ebook978-88-470-2089-4
copyrightSpringer-Verlag Italia 2003
The information of publication is updating

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Numerical simulation of interfacial flowsrator-splitting for temporal discretization and the level-set method for interface representation. This enables us to cover a wide range of interfacial flow regimes with high accuracy. The numerical simulations of bubble dynamics phenomena are presented to validate the proposed computational method.
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A family of finite difference schemes for the convection-diffusion equation in two dimensionsdroff) schemes and third-order (Quickest) schemes not yet studied in the literature. Additionally we study and compare the stability of these second-order and third-order schemes using the von Neumann method.
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Flood modelling using mixed-hybrid finite elementsons were performed for realistic terrain data. Various precipitation behaviors and terrain modifications (afforestation, river-bed constructions) are considered and the results show the possibility of reducing flood effects.
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Explicit and implicit high-resolution finite element schemes based on the flux-corrected-transport anto a sum of internodal fluxes (rather than element contributions). In this way essentially one-dimensional flux correction tools can be applied on unstructured meshes. The proposed algorithm guarantees mass conservation and makes it possible to design both explicit and implicit FEM-FCT schemes based on a unified limiting procedure.
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