New Numerical Algorithms for Eigenvalues and Eigenvectors of Second Order Differential Equations

Author

John Gregory
Ralph W. Wilkerson, Missouri University of Science and TechnologyFollow

Abstract

In This Paper We Present for the First Time an Accurate, Fast, and Easy to Implement Numerical Algorithm to Find the Eigenvalues and Eigenvectors of the Equation L(X;λ) = (Rx)+px+λqx = 0. These Ideas Follow from a Theory of Quadratic Forms Given by the First Author and Will Be Applicable in a Wide Variety of Eigenvalue Problems. We Include Test Runs to Demonstrate that the Accuracy of Our Methods Are Superior to More Conventional Projection Methods. © 1981, Taylor & Francis Group, LLC. All Rights Reserved.

Recommended Citation

J. Gregory and R. W. Wilkerson, "New Numerical Algorithms for Eigenvalues and Eigenvectors of Second Order Differential Equations," Applicable Analysis, vol. 12, no. 1, pp. 47 - 56, Taylor and Francis Group; Taylor and Francis, Jan 1981.

The definitive version is available at https://doi.org/10.1080/00036818108839347

Department(s)

Computer Science

International Standard Serial Number (ISSN)

1563-504X; 0003-6811

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Taylor and Francis Group; Taylor and Francis, All rights reserved.

Publication Date

01 Jan 1981