Iterative algorithms for nonlinear ordinary differential eigenvalue problems
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 361-376 |
| Journal / Publication | Applied Numerical Mathematics |
| Volume | 38 |
| Issue number | 3 |
| Publication status | Published - Aug 2001 |
Link(s)
Abstract
A Newton-type iterative algorithm is developed for solving a class of nonlinear eigenvalue problems. This algorithm is based on solving an algebraic equation β(λ) = 0 which is defined implicitly. We show that the β(λ) in our algorithm is analytic in the area of interest and can be evaluated by solving a block bi-diagonal system. Also the Argument Principle is employed in determining the eigenvalue distribution. Numerical results for both linear and nonlinear problems are given. © 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.
Research Area(s)
- Argument Principle, Newton's iteration, Nonlinear eigenvalue calculation
Citation Format(s)
Iterative algorithms for nonlinear ordinary differential eigenvalue problems. / Sun, W.; Liu, K. M.
In: Applied Numerical Mathematics, Vol. 38, No. 3, 08.2001, p. 361-376.
In: Applied Numerical Mathematics, Vol. 38, No. 3, 08.2001, p. 361-376.
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
