MATHEMATICAL SOFTWARE FOR STURM-LIOUVILLE PROBLEMS

该项目涉及开发一个通用软件及其支持的Sturm-Liouville问题的数学结果。将在SPDNSF代码中开发和实施一种算法，该算法将最大限度地结合所产生的数学理论。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。代码完成后，将向科学和工程研究人员提供。

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.