Mathematical Sciences: Development of Software for Sturm- Liouville Problems

该项目涉及一种 通用软件及其支持的数学 Sturm-Liouville问题 的算法 最大限度地融合了数学理论 将尽可能在守则中制定和实施 SPDNSF。 这类Sturm-Liouville问题有许多 在科学和工程中的应用，特别是在 量子物理学、量子化学、输运理论、 声学、地球物理应用、振动和 工程中的热流问题。 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