Network: Numerical Algorithms and High Performance Computing.
Network: Numerical Algorithms and High Performance Computing.
批准号:
EP/I03112X/1
负责人:
Nicholas Higham
金额:
$17.11万
依托单位:
依托单位国家:
英国
项目类别:
Research Grant
财政年份:
2011
资助国家:
英国
项目状态:
已结题
起止时间:
2011 至 --
中文摘要
两个因素在数值分析和高性能计算(HPC)之间的接口上产生了重大的新挑战。更现实但更复杂的数学模型的使用导致了需要开发新的算法来有效解决(或者在许多情况下根本不解决)的问题。与此同时,计算机体系结构的最新发展(对多核芯片的驱动以及越来越多地使用GPU和FPGA作为加速器)正在影响当前算法和软件充分利用硬件的能力。长期以来,在开发高质量数学软件方面缺乏投资,这加剧了这些问题。最终结果是,科学家无法最大限度地利用计算资源,因此无法解决硬件可能允许的规模的问题。由于所有这些原因,需要开发新的算法,采用新的数学、算法和编码技术。这个网络的目的是在必要的管理组织的支持下,为数值分析人员、计算机科学家和开发人员以及节点内的软件和HPC的用户之间的新合作提供重点。该网络将在数值算法/HPC接口上建立一个新的跨学科社区,从而为在数值算法和HPC及其应用的节点上现有的资助研究提供附加值。通过与NAIS(爱丁堡大学、Heriot-Watt大学和Strathclyde大学的联合项目)合作,该网络将建立在EPSRC最近对HPC数值算法的投资的基础上。网络的活动将是-研讨会,-研究生课程,-短期课程,-关于NA和HPC之间的接口的研讨会,其中,HPC用户(包括Hector用户)将被鼓励描述其应用程序的计算要求,NA研究人员将描述他们最新的算法开发,-国际研讨会,-工业研讨会,-接待国际访问者,以及-节点成员(特别是他们的博士生和PDRA)在节点之间的移动,用于一天到几周的访问。这些活动将提高人们对高性能计算数字方面的认识,包括挑战、应用程序及其需求以及可用的软件。它还将促进节点基础研究的工作,这项工作通过其他方式提供资金。一个网站将宣传网络活动并将其传播给更广泛的社区。计划在网络使用期间扩大网络,预计在项目完成后,在网络活动中形成的新想法、联系和协同作用将导致向EPSRC和其他维持合作的机构应用响应模式。
英文摘要
Two factors are creating major new challenges at the interface between numerical analysis and high performance computing (HPC). The use of more realistic but complicated mathematical models is leading to problems for which new algorithms need to be developed for efficient solution (or, in many cases, solution at all). Meanwhile, recent developments in computer architectures (the drive to multi-core chips and the increasing use of GPUs and FPGAs as accelerators) are affecting the ability of current algorithms and software to fully exploit the hardware. The long-standing lack of investment in the development of high quality mathematical software exacerbates these problems. The net effect is that scientists are unable to make the best use of computational resources and hence are unable to tackle problems of the size that the hardware potentially allows. For all these reasons, new algorithms need to be developed that employ novel mathematical, algorithmic and coding techniques.The purpose of this network is to provide a focus for a new collaboration between numerical analysts, computer scientists and developers and users of software and HPC within the nodes, supported by the necessary administrative organization. The network will build a new interdisciplinary community at the numerical algorithms/HPC interface and thereby provide added value to existing funded research at the nodes in numerical algorithms and in HPC and its applications.By partnering with NAIS (Centre for Numerical Algorithms and Intelligent Software, a joint project between Edinburgh, Heriot-Watt, and Strathclyde Universities) the network will build on EPSRC's recent investment in numerical algorithms for HPC.The activities of the network will be - seminars, - graduate courses, - short courses, - a workshop on the interface between NA and HPC, in which HPC users (including HECToR users) will be encouraged to describe the computational requirements of their applications and NA researchers will describe their latest algorithmic developments, - an international workshop, - an industrial workshop, - hosting of international visitors, and - movement of node members (and especially their PhD students and PDRAs) between nodes for visits of a day to a few weeks. These activities will raise awareness of the numerical aspects of HPC, including challenges, applications and their needs, and available software. It will also facilitate work on the underlying research at the nodes, which is funded through other means. A website will advertise the network activities and disseminate them to the wider community.Expansion of the network during its life is planned, and it is expected that upon completion of the project new ideas, connections and synergies developed within the network activities will have led to responsive mode applications to EPSRC and other bodies that sustain the collaborations.
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DOI:
10.1137/15m1052007
发表时间:
2016
期刊:
SIAM Journal on Matrix Analysis and Applications
影响因子:
1.5
作者:
[Higham N]
通讯作者:
Higham N
An algorithm to compute the polar decomposition of a 3 × 3 matrix
计算 3 × 3 矩阵极坐标分解的算法
DOI:
10.1007/s11075-016-0098-7
发表时间:
2016
期刊:
Numerical Algorithms
影响因子:
2.1
作者:
[Higham N]
通讯作者:
Higham N
DOI:
10.1137/140973979
发表时间:
2015-02
期刊:
SIAM J. Sci. Comput.
影响因子:
--
作者:
[Awad H. Al-Mohy;N. Higham;S. Relton]
通讯作者:
Awad H. Al-Mohy;N. Higham;S. Relton
Higher Order Fréchet Derivatives of Matrix Functions and the Level-2 Condition Number
矩阵函数的高阶 Fréchet 导数和 2 级条件数
DOI:
10.1137/130945259
发表时间:
2014
期刊:
SIAM Journal on Matrix Analysis and Applications
影响因子:
1.5
作者:
[Higham N]
通讯作者:
Higham N
Restoring Definiteness via Shrinking, with an Application to Correlation Matrices with a Fixed Block
DOI:
10.1137/140996112
发表时间:
2016-01-01
期刊:
SIAM REVIEW
影响因子:
10.2
作者:
[Higham, Nicholas J., Strabic, Natasa, Sego, Vedran]
通讯作者:
Sego, Vedran
共 10 条
Novel Asynchronous Algorithms and Software for Large Sparse Systems
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批准号:EP/I006702/1
-
项目类别:Research Grant
-
资助金额:$40.91万
-
财政年份:2010
-
负责人:Nicholas Higham
-
依托单位:
Numerical Algorithms for the Polynomial Eigenvalue Problem
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批准号:EP/D079403/1
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项目类别:Research Grant
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资助金额:$32.96万
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财政年份:2006
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负责人:Nicholas Higham
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依托单位:
海外基金