Solution of Sturm--Liouville Problems Using Modified Neumann Schemes
نویسندگان
چکیده
The main purpose of this paper is to describe the extension of the successful modified integral series methods for Schrödinger problems to more general Sturm-Liouville eigenvalue problems. We present a robust and reliable modified Neumann method which can handle a wide variety of problems. This modified Neumann method is closely related to the second-order Pruess method, but provides for higher order approximations. We show that the method can be successfully implemented in a competitive automatic general-purpose software package.
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عنوان ژورنال:
- SIAM J. Scientific Computing
دوره 32 شماره
صفحات -
تاریخ انتشار 2010