Distributed Computation, Numerical Methods, and Scientific Computing for Mathematics and Science Students in an Undergraduate Mathematics Department

本科数学系数理科学生的分布式计算、数值方法和科学计算

• 批准号: 0089045
• 负责人: Dennis Schneider
• 金额: $ 7.41万
• 依托单位: Knox College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2001
• 资助国家: 美国
• 起止时间: 2001-03-01 至 2004-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0089045&HistoricalAwards=false
• 关键词: Distributed; Computation; Numerical; Methods; Scientific

Mathematical Sciences (21) This project tests the educational feasibility of introducing mathematics and science students to mathematical problems whose numerical solution is made possible through the use of distributed computation. Distributed computation, one form of parallel computation, is the process of finding numerical solutions to mathematical problems by distributing the computation over a cluster of processors connected together via an inexpensive network such as a high-speed ethernet network. Recent developments in low-cost computer networking technology have for the first time made the capabilities of distributed computation an economic possibility for mathematics departments at undergraduate institutions. The promise of parallel computing power at an inexpensive price has also led to distributed computation being used increasingly in many fields which have traditionally been clients of the mathematical sciences. The project develops a prototype consisting of educational materials for two newcourses in the current curriculum. The courses introduce students to the fundamentals of distributed computation with as few prerequisites as possible. The first course provides an introduction to numerical analysis and uses the native programming language of Mathematica. The second course introduces students to the mathematical problems that are solvable by means of distributed computation. It uses the native distributed computing capabilities of Mathematica and distributed computing libraries accessible through higher-level programming languages. The project includes development of a computing laboratory to support distributed computation projects.

数学科学（21）本项目测试了向数学和科学学生介绍数学问题的教育可行性，这些问题的数值解是通过使用分布式计算实现的。分布式计算，并行计算的一种形式，是通过将计算分布在通过廉价网络（如高速以太网）连接在一起的处理器集群上来寻找数学问题的数值解的过程。低成本计算机网络技术的最新发展首次使分布式计算的能力成为本科院校数学系的经济可能性。以低廉的价格提供并行计算能力的承诺也导致分布式计算在许多传统上是数学科学客户的领域中越来越多地使用。该项目开发了一个原型，包括现有课程中两个新课程的教材。这些课程向学生介绍分布式计算的基础知识，尽可能少的先决条件。第一门课程介绍了数值分析，并使用Mathematica的本地编程语言。第二门课程向学生介绍可通过分布式计算解决的数学问题。它使用Mathematica的本地分布式计算功能和可通过高级编程语言访问的分布式计算库。该项目包括开发一个计算实验室，以支持分布式计算项目。