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

PI姓名：Earl H. Dowell机构：杜克大学提案编号：0218601建议标题：ITR：新的混合{离散/连续}计算模型非常高维非线性动力系统：从分子到连续体ScaleProject摘要这ITR研究和教育项目是在信息技术和工程/科学学科的交叉应用领域。工作提出，将开发复杂的非线性动力系统，经常遇到的纳米级现象和设备，如生物和聚合物材料，目前正在实验研究与原子力显微镜的计算模型。主要目标是开发一种混合离散/连续模型，该模型将减少描述系统所需的自由度数量，而不会丢失任何基本信息。这项研究将由一个教育计划，其中包括一个新开发的课程，“非常高维系统的动力学”，一个新的教科书/专著的写作相同的标题和指导博士后和本科生谁将协助研究和新课程的补充。

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.