Computing Facilities and Visualization in Mathematical Modelling for Multiscale Systems

多尺度系统数学建模中的计算设施和可视化

• 批准号: RTI-2020-00535
• 负责人: Melnik, Roderick
• 金额: $ 8.23万
• 依托单位: Wilfrid Laurier University
• 依托单位国家: 加拿大
• 项目类别: Research Tools and Instruments
• 财政年份: 2019
• 资助国家: 加拿大
• 起止时间: 2019-01-01 至 2020-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=692986
• 关键词: Computing; Facilities; Visualization; Mathematical; Modelling

The proposed research integrates fundamental research in mathematical modelling and applications, addressing mathematically rich and practically important problems. Its overall objective is to develop mathematical and computational models, theory and tools for the description and computational analysis of several large key classes of physical, biological, and engineering multiscale systems. It will be encompassing innovative real life applications of such systems and enriching their studies with prevalent and ubiquitous fundamentals of mathematical theory and numerical techniques. The development of such fundamentals will be carried out in close conjunction with other disciplines, including experimental, leading to a truly original, unique, and highest quality research. The choice of the requested infrastructure, consisting of the one-to-one server-visualization console model and backup data solution, is directly dictated by the research programs of PI and his collaborators. The equipment will be used for critical tasks in modelling multiscale systems, in particular a systematic analysis of environmentally-friendly complex materials and the development of advanced tools for the analysis of important classes of biological systems. The requested infrastructure will enable quick research progress on a series of other key related tasks, described in the proposal. Spanning the major thematic clusters of Wilfrid Laurier University's Strategic Research Plan, the proposed research will bring added synergies into the crucial areas of challenging and globally important interdisciplinary research, with mathematical modelling playing a primary role. It will also enhance HQP support, an institutional priority, facilitating Lauier's capacity to attract and train high caliber trainees on projects that require such a combination of computing and imaging resources as those specified in the current proposal. The requested infrastructure and the PI innovative interdisciplinary research program are essential to the continuous progress in making a significant impact on the development of mathematical and computational models for such areas as alternative and renewable energy, as well as bio- and sensing technologies, producing meaningful contributions to important sectors of the Canadian economy. Activities of the PI team will be coordinated via well-established strategies involving several facilitating formats managed by PI and his collaborators, which at Laurier include the Mathematical Modeling for New Technologies (MM) Laboratory and the Interdisciplinary Research Institute for Mathematical and Statistical Modelling in Scientific Discovery, Innovation and Sustainability (MS2Discovery). The requested infrastructure will accelerate further interactions between different Departments through MS2Discovery, as well as strengthen the established links with industrial companies, laboratories, and private sector. ********

拟议的研究将基本研究整合到数学建模和应用中，解决了数学丰富且实际上重要的问题。它的总体目标是开发数学和计算模型，理论和工具，以描述和计算分析的几个大型物理，生物和工程多尺度系统。它将涵盖此类系统的创新现实生活应用，并以数学理论和数值技术的普遍和无处不在的基本面来丰富他们的研究。此类基本原理的发展将与其他学科密切结合，包括实验性，导致真正的原始，独特和最高质量的研究。由PI及其合作者的研究计划直接决定了由一对一的服务器访问控制台模型和备份数据解决方案组成的请求基础架构的选择。该设备将用于建模多尺度系统的关键任务，特别是对环保复杂材料的系统分析，以及开发高级工具，用于分析重要类别的生物系统类别。要求的基础架构将在提案中描述的一系列其他关键相关任务上进行快速研究进度。涵盖了威尔弗里德·劳瑞尔大学（Wilfrid Laurier University）的战略研究计划的主要主题集群，拟议的研究将使增加的协同作用进入了具有挑战性和全球重要的跨学科研究的关键领域，数学建模起着主要作用。它还将增强HQP支持，这是机构优先级，从而促进了Lauier吸引和培训高素质受训者的能力，这些项目需要像当前提案中指定的计算和成像资源相结合的项目。要求的基础设施和PI创新的跨学科研究计划对于对诸如替代和可再生能源等领域的数学和计算模型的发展以及生物和感应技术以及对加拿大加拿大经济重要部门产生有意义的贡献等领域的数学和计算模型的发展至关重要。 PI团队的活动将通过良好的策略进行协调，其中涉及PI及其合作者管理的几种促进格式，该格式在Laurier包括新技术的数学建模（MM）实验室和跨学科研究所的数学研究研究所，用于在科学发现，Innovation和Innovation和Innovation and Sublutability and Sublutability and Sublusability and Scultionaly和MS2DISCO）中（MS2DISCOVery）。要求的基础设施将通过MS2Discovery加速不同部门之间的进一步互动，并加强与工业公司，实验室和私营部门的既定联系。 ********