International Conference on Spectral and High-Order Methods 2009 - ICOSAHOM'09; June 2009, Trondheim, Norway

研究人员提议参加2009年6月22日至26日在挪威特隆赫姆的挪威科技大学（NTNU）举办的下一届国际光谱和高阶方法会议。他们在这一领域工作了几十年，并积极参加了过去所有的经社理事会会议。从会议记录中选出的论文将在档案期刊上作为特刊发表。他们还计划为资助机构制作一份报告，该报告将从我们计划组织的圆桌讨论中提供反馈。本次圆桌讨论的主题将是未来的算法趋势和数值方法的应用，以及高阶方法的作用。此外，将讨论它们向计算机代码的过渡，这些代码将用于国家实验室和工业的模拟需求，特别是在千万亿次浮点运算应用的背景下。为此，他们计划邀请具有高级计算专业知识并对高阶精度感兴趣的研究人员参加该小组。邀请和贡献的讲座将包含光谱和高阶方法尚未发表的新的理论和应用成果。光谱和高阶方法在各种应用中变得越来越重要，如空气声学、电磁学、海洋建模、地震学、能源、非牛顿流体、非线性光学、等离子体动力学和不确定性量化。过去几年的新发展解决了复杂几何、高速流动、大规模模拟的快速求解、降阶建模和随机建模等问题。在过去的三十年里，NSF在计算机硬件方面投入了大量资金，与计算机工业的快速增长同步。然而，为了有效地利用新的计算机资源，算法和软件的发展需要同时取得进展。本次会议将推进最先进的高精度算法，以产生可信的模拟结果。除了邀请资深研究人员外，我们计划赞助年轻研究人员，博士后和博士生，特别是来自代表性不足的少数民族的学生，以便在这些方法方面培养新的模拟科学家骨干。今天，高阶精度（至少二阶）是在工程期刊上发表档案工作的要求，计划中的小组讨论预计将在工程社区产生重大影响。此外，数值与建模精度的重要问题以及与验证和验证相关的问题将被讨论。

The investigators propose to participate in organizing the next ICOSAHOM (International Conference on Spectral And High-Order Methods) on June 22-26 2009 at the Norwegian University of Science and Technology (NTNU) in Trondheim, Norway. They have been working in this field for several decades and have been active participants in all past ICOSAHOM meetings. Selected papers from the proceedings will be published as a special issue in a archival journal. They also plan to produce a report for the funding agency that will provide feedback from a round-table discussion we plan to organize. The theme of this round-table discussion will be the future algorithmic trends and applications of numerical methods and what is the role of high-order methods. Also, their transition to computer codes that will be used for the simulation needs of the national labs and in industry will be discussed, especially in the context of petaflop applications. To this end, they plan to invite researchers with advanced computing expertise and also have interest on high-order accuracy to participate in this panel. The invited and contributed talks will contain new theoretical and applications results of spectral and high-order methods which had not been published yet. Spectral and high-order methods have become increasingly important in diverse applications as aeroacoustics, electromagnetics, ocean modeling, seismology, energy, non-Newtonian flows, nonlinear optics, plasma dynamics, and uncertainty quantification. New developments in the last few years have addressed issues of complex geometry, high-speed flows, fast solvers for large-scale simulations, reduced order modeling, and stochastic modeling.NSF has invested heavily in computer hardware in their last three decades in par with the rapid growth of computer industry. However, simultaneous advances are required in the development of algorithms and software in order to make effective use of the new computer resources. This conference will advance the state-of-the-art in algorithms of high accuracy that are required in order to produce credible simulation results. In addition to the senior researchers invited, we plan to sponsor young researchers, postdocs and PhD students, especially from under-represented minorities, in order to educate a new cadre of simulation scientists in these methods. Today, high-order accuracy (at least second-order) is a requirement for publishing archival work in engineering journals, and the planned panel discussion is expected to have great impact in the engineering community. In addition, the important issue of numerical versus modeling accuracy and issues related to Verification and Validation will be discussed.