On a shooting algorithm for Sturm-Liouville eigenvalue problems with periodic and semi-periodic boundary conditions

Journal Article · Tue Mar 01 00:00:00 EST 1994 · Journal of Computational Physics; (United States)

DOI:https://doi.org/10.1006/jcph.1994.1045· OSTI ID:6969316

Ji, Xingzhi ^[1]

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1. Univ. of Waterloo, Ontario (Canada)

This paper is concerned with the eigenvalues of Sturm-Liouville problems with periodic and semi-periodic boundary conditions to be approximated by a shooting algorithm. The proposed technique is based on the application of the Floquet theory. Convergence analysis and a general guideline to provide starting values for computed eigenvalues are presented. Some numerical results are also reported. 18 refs., 1 fig., 3 tabs.

• OSTI ID: 6969316
• Journal Information: Journal of Computational Physics; (United States), Vol. 111:1; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
BOUNDARY-VALUE PROBLEMS
NUMERICAL SOLUTION
CONVERGENCE
STURM-LIOUVILLE EQUATION
DIFFERENTIAL EQUATIONS
EQUATIONS
990200* - Mathematics & Computers