Software Development for Sturm-Liouville Problems

本项目关注的是一个通用软件的开发及其支持Sturm-Liouville问题的数学结果。将在代码SPDNSF中开发和实现一种算法，该算法最大程度地结合了由此产生的数学理论。这类Sturm-Liouville问题在科学和工程中有许多应用，特别是在量子物理、量子化学、输运理论、声学、地球物理应用以及工程中的振动和热流问题中。完成后，代码将提供给科学和工程领域的研究人员。

This project is concerned with the development of a general purpose software and of its supporting mathematical results for Sturm-Liouville problems. An algorithm that incorporates the resulting mathematical theory to the maximum extent possible will be developed and implemented in the code SPDNSF. This class of Sturm-Liouville problems has many applications in science and engineering, particularly, in quantum physics, in quantum chemistry, in transport theory, in acoustics, in geophysical applications, and in vibration and heat flow problems in engineering. Upon completion, the code will be made available to researchers in science and engineering.