Software Development for Sturm-Liouville Problems

该项目涉及一个通用的开发 目的软件及其支持的数学结果， Sturm-Liouville问题 一种算法， 最大限度地利用数学理论， 在代码SPDNSF中开发和实现。 这类Sturm-Liouville问题有许多应用 在科学和工程领域，特别是在量子物理领域， 量子化学，输运理论，声学， 地球物理应用，以及振动和热流问题 在工程学方面。 完成后，将提供代码 to researchers研究人员in science科学and engineering工程.

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.