Workshop on Software and Applications of Numerical Algebraic Geometry

数值代数几何软件及应用研讨会

• 批准号: 1547743
• 负责人: Jonathan Hauenstein
• 金额: $ 1.9万
• 依托单位: University of Notre Dame
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-09-01 至 2017-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1547743&HistoricalAwards=false
• 关键词: Workshop; Software; Applications; Numerical; Algebraic

Recent developments in software for solving nonlinear polynomial systems may provide many scientists and engineers the tools needed to solve key problems in their research. To facilitate the training necessary to make best use of these powerful tools, the PIs will run a workshop May 23-25, 2016 at the University of Notre Dame. In addition to training, the workshop will also provide cross-fertilization between the mathematical sciences and other areas of science and engineering by bringing together a diverse group of researchers and software developers to exchange both knowledge and challenges. These interactions will spur practical research in applications while highlighting needs for future algorithm development. Since they arise in many areas of science and engineering, several approaches have been developed for solving polynomial systems. The software package Bertini, which is being redeveloped in C++ and Python for modularity and scriptability, implements key numerical algebraic geometric algorithms for solving and manipulating polynomial systems. This workshop will bring together a wide range of computational scientists and practitioners to discuss recent progress and current challenges in software, algorithms, and applications of numerical algebraic geometry. This interdisciplinary workshop will include small group discussions, hands-on demonstrations of Bertini, and sessions focused on developing Bertini modules related to participants' particular interests.

用于解决非线性多项式系统的软件的最新发展可能会为许多科学家和工程师提供解决研究中关键问题所需的工具。为了促进充分利用这些功能强大工具所需的培训，PIS将于2016年5月23日至25日在巴黎圣母院举办研讨会。除培训外，研讨会还将通过汇集一组多样化的研究人员和软件开发人员来交换知识和挑战之间的数学科学和其他科学和工程领域之间的交叉施肥。这些相互作用将刺激应用程序的实践研究，同时突出对未来算法开发的需求。 由于它们在科学和工程的许多领域都出现，因此已经开发了几种用于解决多项式系统的方法。软件包Bertini正在用C ++和Python进行重新开发，以用于模块化和脚本性，它实现了用于求解和操纵多项式系统的关键数值代数几何算法。 该研讨会将汇集各种计算科学家和从业人员，讨论软件，算法和数值代数几何学应用中的最新进展和当前挑战。这个跨学科的研讨会将包括小组讨论，贝蒂尼的动手演示以及着重于开发与参与者的特定利益相关的贝蒂尼模块的会议。