ITR: Novel Hybrid (Discrete/Continuous) Computational Models for Very High Dimensional Nonlinear Dynamical Systems: From the Molecular to the Continuum Scale

项目名称：Earl H. dowwell机构：杜克大学提案号：0218601提案题目：ITR：非常高维非线性动力系统的新型混合{离散/连续}计算模型：从分子到连续尺度项目摘要：这个ITR的研究和教育项目是在信息技术和工程/科学学科交叉的应用领域。本文提出的工作将开发复杂非线性动力系统的计算模型，这些模型经常在纳米级现象和器件中遇到，例如目前正在用原子力显微镜进行实验研究的生物和聚合物材料。主要目标是开发一种混合的离散/连续模型，该模型将在没有任何基本信息损失的情况下，以数量级减少描述系统所需的自由度。这项研究将得到一项教育计划的补充，其中包括新开发的课程“非常高维系统的动力学”，编写一本同名的新教科书/专著，并指导一名博士后和本科生协助研究和新课程。

PI Name: Earl H. DowellInstitution: Duke University Proposal Number: 0218601 Proposal Title: ITR:Novel Hybrid {Discrete/Continuous} Computational Models for Very High Dimensional Nonlinear Dynamical Systems: From the Molecular to the Continuum ScaleProject AbstractThis ITR research and educational project is in an application area at the intersection of Information Technology and an engineering/science discipline. Work is proposed that will develop computational models of complex nonlinear dynamical systems that are often encountered in nanoscale phenomena and devices such as biological and polymer materials that are currently being studied experimentally with Atomic Force Microscopes. The principal goal is to develop a hybrid discrete/continuum model that will reduce by orders of magnitude the number of degrees of freedom needed to describe the system without any essential loss of information. The research will be complemented by an educational plan that includes a newly developed course, "Dynamics of Very High Dimensional Systems", the writing of a new textbook/monograph of that same title and the mentoring of a post-doc and undergraduate student who will assist with the research and the new course.