Nonlinear and computationally analysis

非线性和计算分析

• 批准号: 139620-2008
• 负责人: Borwein, Jonathan
• 金额: $ 2.29万
• 依托单位: Dalhousie University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2008
• 资助国家: 加拿大
• 起止时间: 2008-01-01 至 2009-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=391603
• 关键词: Nonlinear; computationally; analysis

Nonlinear and Computationally Assisted Analysis. My intention is to further develop my long-term program in nonlinear functional analysis and optimization in conjunction with my Canada Research Chair and CFI funded research on computer-assisted discovery. Over the past four years at Dalhousie I have been able to start a laboratory for Distributed Research and Collaborative Technology (Dalhousie Distributed Research Institute and Virtual Environment, http://projects.cs.dal.ca/ddrive/). The Ddrive includes a newly installed 240 core mathematical computing cluster whose primary aim is to provide advanced (parallel) mathematical computing resources in my lab and across Canada. Unlike conventional 'capacity' clusters, the emphasis here is on rapid insight generation provided by easy to use 'hybrid' (numerical/symbolic) parallel software. This work is in part sponsored by MapleSoft. The fruits of this programme so far are described in three recent books on Experimental Mathematics with David Bailey (Lawrence Berkeley) and various other co-authors.

非线性和计算辅助分析。 我的目的是进一步发展我的长期计划，在非线性功能分析和优化与我的加拿大研究主席和CFI资助的研究计算机辅助发现。 在过去的四年里，我在达尔豪西建立了一个分布式研究和协作技术实验室（达尔豪西分布式研究所和虚拟环境，http：//projects.cs.dal.ca/ddrive/）。Ddrive包括一个新安装的240核数学计算集群，其主要目标是在我的实验室和整个加拿大提供高级（并行）数学计算资源。 与传统的“容量”集群，这里的重点是快速洞察力的生成提供了易于使用的“混合”（数字/符号）并行软件。 这项工作部分由MapleSoft赞助。 这一计划的成果，到目前为止，在最近的三本书中介绍了实验数学与大卫贝利（劳伦斯伯克利）和其他各种合著者。