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Titlebook: Numerical Solution of Partial Differential Equations on Parallel Computers; Are Magnus Bruaset,Aslak Tveito Conference proceedings 2006 Sp

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书目名称Numerical Solution of Partial Differential Equations on Parallel Computers
编辑Are Magnus Bruaset,Aslak Tveito
视频video
概述Includes supplementary material:
丛书名称Lecture Notes in Computational Science and Engineering
图书封面Titlebook: Numerical Solution of Partial Differential Equations on Parallel Computers;  Are Magnus Bruaset,Aslak Tveito Conference proceedings 2006 Sp
描述Since the dawn of computing, the quest for a better understanding of Nature has been a driving force for technological development. Groundbreaking achievements by great scientists have paved the way from the abacus to the supercomputing power of today. When trying to replicate Nature in the computer’s silicon test tube, there is need for precise and computable process descriptions. The scienti?c ?elds of Ma- ematics and Physics provide a powerful vehicle for such descriptions in terms of Partial Differential Equations (PDEs). Formulated as such equations, physical laws can become subject to computational and analytical studies. In the computational setting, the equations can be discreti ed for ef?cient solution on a computer, leading to valuable tools for simulation of natural and man-made processes. Numerical so- tion of PDE-based mathematical models has been an important research topic over centuries, and will remain so for centuries to come. In the context of computer-based simulations, the quality of the computed results is directly connected to the model’s complexity and the number of data points used for the computations. Therefore, computational scientists tend to ?ll even t
出版日期Conference proceedings 2006
关键词Computer; Simulation; architecture; computer science; differential equation; domain decomposition; multigr
版次1
doihttps://doi.org/10.1007/3-540-31619-1
isbn_softcover978-3-540-29076-6
isbn_ebook978-3-540-31619-0Series ISSN 1439-7358 Series E-ISSN 2197-7100
issn_series 1439-7358
copyrightSpringer-Verlag Berlin Heidelberg 2006
The information of publication is updating

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Partitioning and Dynamic Load Balancing for the Numerical Solution of Partial Differential Equationsness of this distribution greatly influences the performance of a parallel simulation. Decompositions that balance processor loads while keeping the application’s communication costs low are preferred. Although a wide variety of partitioning and load-balancing algorithms have been developed, their e
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Graphics Processor Units: New Prospects for Parallel Computingavailable functionality and the programming model. Simple examples and references to freely available tools and resources motivate the reader to explore these new possibilities. An overview of the different applications of GPUs demonstrates their wide applicability, yet also highlights limitations o
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Domain Decomposition Techniquesion of partial differential equations by finite elements or finite volumes. We first give an overview of algebraic domain decomposition techniques. We then introduce a preconditioner based on a multilevel approximate Schur complement system. Then we present a Schwarz-based preconditioner augmented b
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Parallel Algebraic Multigrid Methods — High Performance Preconditionersated the development of scalable solvers and preconditioners. One of the most effective ways to achieve scalability is the use of multigrid or multilevel techniques. Algebraic multigrid (AMG) is a very efficient algorithm for solving large problems on unstructured grids. While much of it can be para
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The Design and Implementation of ,, a Library of Parallel High Performance Preconditionersmputers. One of its attractive features is the provision of .. These interfaces give application users a more natural means for describing their linear systems, and provide access to methods such as geometric multigrid which require additional information beyond just the matrix. This chapter discuss
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Parallelizing PDE Solvers Using the Python Programming Languagesolvers for partial differential equations (PDEs)? We divide our investigation into two aspects, namely (1) the achievable performance of a parallel program that extensively uses Python programming and its associated data structures, and (2) the Python implementation of generic software modules for
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Parallel PDE-Based Simulations Using the Common Component Architecture. A goal of component- based software engineering in such large-scale simulations is to help manage this complexity by enabling better interoperability among various codes that have been independently developed by different groups. The Common Component Architecture (CCA) Forum is defining a componen
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