Mathematical Sciences: Computational Techniques for ProblemsInvolving Distributed Systems

这项研究需要理论分析，数值计算的发展， 算法，并在现场数据上测试算法。 特定 工作的重点将是建造和测试新型的 基于当前和预期的并行处理器的算法 建筑 参数估计问题是丰富的， 生物、物理和工程科学。 它们的出现是因为 通常很难或不可能直接测量某些 与特定调查相关的“参数”。 这些 因此，必须根据可以 与假设形式的建模方程一起制作， 未知参数 实例是对孔隙度或密度的估计， 地壳中的基质，昆虫扩散率的估计 偏移和阻尼系数的估计 空间结构。

This research entails theoretical analysis, development of numerical algorithms, and testing of the algorithms on field data. A specific focus of the work will be the construction and testing of new types of algorithms based on present and contemplated parallel processor architectures. Parameter estimation problems are abundant in the biological, physical, and engineering sciences. They arise because it is often difficult or impossible to directly measure certain 'parameters' which are relevant to a particular investigation. These parameters must therefore be estimated from observations which can be made together with an assumed form of modeling equations containing the unknown parameters. Examples are estimation of porosity or density of substrata in the earth's crust, estimation of dispersal rates in insect migration, and estimation of damping coefficients in large flexible space structures.