Conference: Conference on Frontiers in Applied and Computational Mathematics (FACM 2023): New trends in computational wave propagation and imaging

会议：应用与计算数学前沿会议（FACM 2023）：计算波传播和成像的新趋势

• 批准号: 2246813
• 负责人: Michael Siegel
• 金额: $ 3.48万
• 依托单位: New Jersey Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-05-15 至 2024-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2246813&HistoricalAwards=false
• 关键词: Conference; Frontiers; Applied; Computational; Mathematics

This grant supports the participation of graduate students, postdoctoral fellows, and junior faculty in the conference ``Frontiers in Applied and Computational Mathematics'' (FACM) to be held May 26-27, 2023 at NJIT. This 18th conference in the FACM meeting series will be devoted to promising recent research in the field of computational wave propagation and imaging. Wave scattering and imaging problems are pervasive in a variety of engineering and industrial applications. These include, for instance, the design of optoelectronic devices such as lasers and solar panels, stealth technology, medical imaging, and nondestructive testing of materials (in which a prescribed incident electromagnetic wave is used to illuminate a sample and identify the location and shape of cracks or defects). Another important example comes from microchip design, which involves challenging wave propagation problems in multilayer materials that call for new numerical methods. Despite numerous successes, challenges remain in, e.g., high-frequency problems, wave scattering in complex media, design of fast algorithms, and the application of new techniques based on machine-learning, among others. The conference brings together a diverse group of mathematicians, statisticians, scientists, and engineers to present their research in an environment that promotes significant interaction and cross-fertilization among the participants. The FACM 2023 conference theme is ``New trends in computational wave propagation and imaging,’’ and will focus on several problem areas that have either been established as areas of major significance in applied mathematics, or as emerging research fields with exceptional potential. These are: (1) inverse problems and imaging, (2) integral equation and high-frequency methods, (3) optimal transport in optical design, and (4) applications of machine learning in PDE's and inverse problems. The field of computational wave propagation and imaging has grown rapidly in the past two decades, fueled by industrial applications and supported by rapid development in mathematical theory and novel approaches stemming from advances in, for example, nonlinear optimization, randomized and fast linear solvers, and machine learning/data science. Despite the progress, numerous challenges remain, for instance, in treating high frequency problems with multiple scattering effects, computational inversion with limited (sparse, incomplete, or both) data, and high dimensional problems, among many others. In addition, there is a strong need for fundamental theory that can lead to a better understanding of the mathematical underpinnings of the new algorithms. FACM 2023 presents an ideal forum to stimulate new strategies to tackle these challenging problems through cross-fertilization of ideas and new collaborations.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

这笔赠款支持研究生、博士后研究员和初级教师参加将于 2023 年 5 月 26 日至 27 日在新泽西理工学院举行的“应用和计算数学前沿”(FACM) 会议，这是 FACM 会议的第 18 届会议。系列将致力于计算波传播和成像领域的近期研究，波散射和成像问题普遍存在于各种工程和工业应用中。例如，激光和太阳能电池板等光电设备的设计、隐形技术、医学成像和材料的无损检测（其中使用规定的入射电磁波照射样品并识别裂纹或缺陷的位置和形状）另一个重要的例子来自微芯片设计，它涉及多层材料中具有挑战性的波传播问题，需要新的数值方法，尽管取得了许多成功，但挑战仍然存在，例如高频问题、复杂的波散射问题。会议汇集了不同的数学家、统计学家、科学家和工程师，在促进重要互动和交流的环境中展示他们的研究成果。 FACM 2023 会议的主题是“计算波传播和成像的新趋势”，并将重点关注在应用数学中已被确定为具有重要意义的领域或新兴领域的几个问题领域。研究领域它们是：（1）反演问题和成像，（2）积分方程和高频方法，（3）光学设计中的最优传输，以及（4）机器学习在偏微分方程和反演问题中的应用。在工业应用的推动下，以及非线性优化、随机和快速线性求解器以及机器学习等方面的进步带来的数学理论和新颖方法的快速发展的支持下，计算波传播和成像的研究在过去二十年中迅速发展/数据科学。尽管取得了进展，但仍然存在许多挑战，例如，在处理具有多重散射效应的高频问题、有限（稀疏、不完整或两者兼而有之）数据的计算反演以及高维问题等方面，存在着强烈的需求。 FACM 2023 提供了一个理想的论坛，旨在通过思想的交叉融合和新的合作来激发新的策略来解决这些具有挑战性的问题。法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。