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Manuscript Title: A high-speed method for eigenvalue problem II: calculation of the eigenfunction in Milne's method.
Authors: T. Yano, T. Yokota, K. Kawabata, M. Otsuka, S. Matsushima, Y. Ezawa, S. Tomiyoshi
Program title: MEV2
Catalogue identifier: ABTN_v2_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 72(1992)61
Programming language: Fortran.
Computer: FACOM M770/6(8.51 MIPS).
Operating system: OS IV/F4 MSP.
RAM: 78K words
Word size: 32
Keywords: Eigenvalue, Eigenfunction, Milne's method, Spline function, Sturm-liouville-type Equation, General purpose, Differential equations.
Classification: 4.3.

Nature of problem:
Calculated eigenvalues include necessarily some numerical errors, which often make the eigenfunctions divergent at large distances. An efficient method to avoid this difficulty is necessitated.

Solution method:
Using the WKB approximation in Milne's method for eigenvalue problem of Sturm-Liouville-type linear equations, we can obtain reasonable eigen- functions at large distances. We support a program package MEV2.

Running time:
21 seconds on FACOM/F4 MSP (8.51 MIPS computer).