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

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团体参加为期三天的“数学、计算、科学和工程中的非局部模型”研讨会，该研讨会将于2015年10月26日至28日在田纳西州橡树岭国家实验室（ORNL）举行。非局部模型是一种相对较新的数学模型，已被证明在模拟某些具有挑战性的物理现象（如固体力学中的断裂）方面非常有效。研讨会的目的是汇集来自数学、计算、科学和工程领域的专家，他们研究非局部模型，并为思想交流提供一个平台。研讨会鼓励青年科学家和代表性不足的群体成员参与STEM。该奖项将为他们提供与研究非局部模型的领先研究人员互动和学习的机会，并在此过程中为下一代非局部理论研究人员的发展做出贡献。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合作关系。更多的信息可以在http://nlmcse.usacm.orgThe上找到，研讨会的技术重点是新兴的非局部建模研究领域，这对数学和数值分析及其计算实现提出了新的挑战。非局部理论有着广泛的应用：热和质量扩散、非局部力学、模式形成、图像处理、自组织动力学、Levy飞行和跳跃过程等等。受邀的演讲者和参与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，非局部模型的软件实现，材料失效和损伤的周动力学模型，非局部传热和质量扩散，自然界中的异常输运，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.