North American High Order Methods Conference (NAHOMCon)

该奖项为将于2019年6月2日至5日在圣地亚哥州立大学举行的北美高阶方法会议(NAHOMCon)提供参与者支持。会议将为计算科学家、数学家、科学家和工程师提供一个论坛，就用于解决广泛的科学和工程问题的先进的高阶方法的想法和技术以及进一步的最新技术进行交流。美国的竞争力在很大程度上依赖于技术进步。然而，由于缺乏专门研究这一主题的会议，美国在高阶方法方面的研究与欧洲或其他国家相比一直处于劣势。这次会议将产生广泛的影响，为研究人员提供一个论坛，讨论解决具有战略意义的科学和工程问题的高阶数值方法。它还认识到，年轻的研究人员、女性和少数族裔有必要在美国建立一个论坛。有关会议的更多细节可以在偏微分方程组的https://www.nahomcon19.sdsu.edu/.High阶近似中找到，无论是有限差分、有限元还是谱方法，都比低阶方法具有所需的优势。当然，对于给定的自由度数，它们的误差较小。而且它们通常被设计成具有较低的耗散和色散误差。它们的高分辨率使其更适合于湍流计算、化学反应流动和核聚变反应等固有的多尺度问题。NSF目前支持许多关于高阶方法的研究项目，但还没有全国性的会议专注于他们的研究。建议的会议主题是基于这些项目的一般推力，并且是高阶方法开发的前沿。它们包括可证明稳定的格式、用于高阶方法的快速求解器、用于复杂几何的方法、高效和并行实现。申请被考虑的领域包括地球科学、流体力学、燃烧、固体力学、电磁学、生物医学和图像处理。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

This award provides participant support to the North American High Order Methods Conference (NAHOMCon), to be held June 2-5, 2019 at the San Diego State University. The conference will serve as a forum for computational scientists, mathematicians, scientists and engineers to share ideas and techniques on and further the state of the art of advanced high order methods used to solve a broad range of scientific and engineering problems. American competitiveness depends heavily on technological advances.Yet American research on high order methods has been at a disadvantage compared to that in European or other nations due to the lack of conferences devoted to the subject. This conference will have broad impacts by providing a forum for researchers on high order numerical methods for the solution of scientific and engineering problems of strategic importance. It also recognizes the need for younger researchers, women and minorities to have a forum in the US. More details about the conference can be found at https://www.nahomcon19.sdsu.edu/.High order approximations to PDEs, be they finite difference, finite element or spectral, have needed advantages over lower order methods. Of course, they have lower errors for a given number of degrees of freedom. But also they are usually designed to have lower dissipation and dispersion errors. Their high resolution makes them more suitable for intrinsic multiscale problems such as turbulence computations, chemically reacting flows and nuclear fusion reaction. The NSF currently supports numerous research projects on high order methods, but no nationwide conferences are in place that are focused on their study. The proposed conference topics are based on the general thrusts of these projects and are the forefront of high order method development. They include provably stable schemes, fast solvers for high order methods, methods for complex geometries, efficient and parallel implementations. Applications are considered in a range of fields including geoscience, fluid mechanics, combustion, solid mechanics, electromagnetics, biomedical, and image processing.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.