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.

解决非线性多项式系统的软件的最新发展可以为许多科学家和工程师提供解决他们研究中的关键问题所需的工具。为了促进必要的培训，以充分利用这些强大的工具，PI将运行一个研讨会2016年5月23日至25日在圣母大学。除了培训外，研讨会还将通过汇集不同的研究人员和软件开发人员来交流知识和挑战，从而在数学科学与其他科学和工程领域之间进行交流。这些相互作用将刺激应用中的实际研究，同时突出未来算法开发的需求。 由于它们出现在科学和工程的许多领域，已经开发了几种方法来求解多项式系统。Bertini软件包正在用C++和Python重新开发，以实现模块化和脚本化，实现了用于求解和操作多项式系统的关键数值代数几何算法。 本次研讨会将汇集广泛的计算科学家和从业人员，讨论最近的进展和当前的挑战，在软件，算法和数值代数几何的应用。这个跨学科的研讨会将包括小组讨论，贝尔蒂尼的动手示范，以及专注于开发与参与者的特殊兴趣相关的贝尔蒂尼模块的会议。