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

该奖项支持寻求参加2015年10月26-28日在田纳西州橡树岭国家实验室(ORNL)举行的为期三天的“数学、计算、科学和工程中的非本地模型”研讨会的学生、博士后、早期职业研究人员和代表性不足的群体。非局部模型是一种相对较新的数学模型，已被证明对模拟某些具有挑战性的物理现象非常有效，例如固体力学中的断裂。研讨会的目的是将来自数学、计算、科学和工程界的专家聚集在一起，他们致力于非本地模型的工作，并提供一个交流思想的平台。讲习班鼓励初级科学家和代表性不足群体的成员加入和参加科学、技术和经济研究。这一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并向其学习的机会，同时为发展下一代非本地理论研究人员做出贡献。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。更多信息可在http://nlmcse.usacm.orgThe上找到，研讨会的技术重点是非局部建模这一新兴研究领域，这给数学和数值分析及其计算实现提出了新的挑战。非局域理论有着广泛的应用：热和质量扩散、非局域力学、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。受邀的演讲者和与会者将带来来自广泛相关领域的专业知识，包括非局部和分数阶模型的数学和数值分析、数值方法和离散化方案、非局部模型中的多尺度建模和适应性、非局部模型中的软件实现、材料失效和损伤的动力学模型、非局部热传递和质量扩散、自然界中的异常传输，以及其他非局部建模有用的工程和科学应用。

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.