| Title:
|
Delay-dependent stability of Runge-Kutta methods for linear neutral systems with multiple delays (English) |
| Author:
|
Hu, Guang-Da |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
54 |
| Issue:
|
4 |
| Year:
|
2018 |
| Pages:
|
718-735 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we are concerned with stability of numerical methods for linear neutral systems with multiple delays. Delay-dependent stability of Runge-Kutta methods is investigated, i. e., for delay-dependently stable systems, we ask what conditions must be imposed on the Runge-Kutta methods in order that the numerical solutions display stability property analogous to that displayed by the exact solutions. By means of Lagrange interpolation, Runge-Kutta methods can be applied to neutral differential systems with multiple delays. Based on the argument principle, sufficient conditions for delay-dependent stability of Runge-Kutta methods combined with Lagrange interpolation are presented. Numerical examples are given to illustrate the main results. (English) |
| Keyword:
|
neutral differential systems with multiple delays |
| Keyword:
|
delay-dependent stability |
| Keyword:
|
Runge–Kutta method |
| Keyword:
|
Lagrange interpolation |
| Keyword:
|
argument principle |
| MSC:
|
65L05 |
| MSC:
|
65L07 |
| MSC:
|
65L20 |
| idZBL:
|
Zbl 06987030 |
| idMR:
|
MR3863252 |
| DOI:
|
10.14736/kyb-2018-4-0718 |
| . |
| Date available:
|
2018-10-30T14:44:10Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147420 |
| . |
| Reference:
|
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| . |
