TY - JOUR
T1 - The SLEIGN2 Sturm-Liouville code
AU - Everitt, W
AU - Bailey, PB
AU - Zettl, A
PY - 2001/6/1
Y1 - 2001/6/1
N2 - The SLEIGN2 code is based on the ideas and methods of the original SLEIGN code of 1979. The main purpose of the SLEIGN2 code is to compute eigenvalues and eigenfunctions of regular and singular self-adjoint Sturm-Liouville problems, with both separated and coupled boundary conditions, and to approximate the continuous spectrum in the singular case. The code uses some new algorithms, which we describe, and has a driver program that offers a user-friendly interface. In this paper the algorithms and their implementation are discussed, and the class of problems to which each algorithm applies is identified.
AB - The SLEIGN2 code is based on the ideas and methods of the original SLEIGN code of 1979. The main purpose of the SLEIGN2 code is to compute eigenvalues and eigenfunctions of regular and singular self-adjoint Sturm-Liouville problems, with both separated and coupled boundary conditions, and to approximate the continuous spectrum in the singular case. The code uses some new algorithms, which we describe, and has a driver program that offers a user-friendly interface. In this paper the algorithms and their implementation are discussed, and the class of problems to which each algorithm applies is identified.
UR - http://www.scopus.com/inward/record.url?scp=0038594418&partnerID=8YFLogxK
U2 - 10.1145/383738.383739
DO - 10.1145/383738.383739
M3 - Article
SN - 1557-7295
VL - 27
SP - 143
EP - 192
JO - ACM Transactions on Mathematical Software
JF - ACM Transactions on Mathematical Software
ER -