Workshop on Nonlocal Models in Mathematics, Computation, Science, and Engineering

数学、计算、科学和工程中的非局部模型研讨会

• 批准号: 1546334
• 负责人: Tadele Mengesha
• 金额: $ 1.7万
• 依托单位: University of Tennessee Knoxville
• 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 2016-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1546334&HistoricalAwards=false
• 关键词: Workshop; Nonlocal; Models; Mathematics; Computation

This award supports the participation of students, postdocs, early career researchers, and under-represented groups seeking to attend the three-day workshop on "Nonlocal Models in Mathematics, Computation, Science, and Engineering," to be held on October 26-28, 2015 at Oak Ridge National Laboratory (ORNL), Oak Ridge, Tennessee. Nonlocal models are a type of mathematical model of relatively recent vintage that has proved to be very effective for modeling certain challenging physical phenomena, such as fracture in solid mechanics. The purpose of the workshop is to bring together experts from the mathematical, computational, scientific, and engineering communities who work with nonlocal models and provide a platform for the exchange of ideas. The workshop encourages the inclusion and participation of junior scientists and members of under-represented groups in STEM. This award will present them the opportunity to interact with and learn from leading researchers working with nonlocal models, along the way contributing towards the development of the next generation of researchers in nonlocal theories. Through the proposed activities, the award also facilitates increased partnership between the University of Tennessee and the government research laboratories ORNL and Sandia National Laboratories. More information can be found at http://nlmcse.usacm.orgThe technical focus of the workshop is on the emerging research area of nonlocal modeling, which has presented new challenges to mathematical and numerical analysis, and its computational implementation. Nonlocal theories have wide ranging application: heat and mass diffusion, nonlocal mechanics, pattern formation, image processing, self-organized dynamics, Levy flights, and jump processes, to list a few. Invited speakers and participants will bring expertise from a wide array of related fields, including mathematical and numerical analysis of nonlocal and fractional models, numerical methods and discretization schemes, multiscale modeling and adaptivity in nonlocal models, software implementation in nonlocal models, peridynamics models for material failure and damage, nonlocal heat transfer and mass diffusion, anomalous transport in nature, and other engineering and scientific applications in which nonlocal modeling is useful.

该奖项支持学生，博士后，早期职业研究人员和代表性不足的群体寻求参加为期三天的研讨会"非本地模型在数学，计算，科学和工程"，将于2015年10月26日至28日在橡树岭国家实验室（ORNL），橡树岭，田纳西州的参与。非局部模型是一种相对较新的数学模型，已被证明对某些具有挑战性的物理现象（如固体力学中的断裂）建模非常有效。 研讨会的目的是汇集来自数学，计算，科学和工程界的专家，他们使用非本地模型，并为交流思想提供平台。 该研讨会鼓励年轻科学家和代表性不足的群体成员在STEM中的包容和参与。该奖项将为他们提供与使用非本地模型的领先研究人员互动和学习的机会，沿着为下一代非本地理论研究人员的发展做出贡献的道路。通过拟议的活动，该奖项还促进了田纳西大学与政府研究实验室ORNL和桑迪亚国家实验室之间的伙伴关系。更多信息可以在www.example.com上找到研讨会的技术重点是非局部建模的新兴研究领域，这对数学和数值分析及其计算实现提出了新的挑战。非局部理论有广泛的应用：热和质量扩散，非局部力学，图案形成，图像处理，自组织动力学，Levy飞行和跳跃过程，仅举几例。受邀演讲者和与会者将带来来自广泛相关领域的专业知识，包括非局部和分数模型的数学和数值分析，数值方法和离散化方案，非局部模型的多尺度建模和自适应性，非局部模型的软件实现，材料失效和损伤的周波模型，非局部传热和质量扩散，自然界的异常传输，以及其他非局部建模有用的工程和科学应用。