| Title:
|
Propagation of errors in dynamic iterative schemes (English) |
| Author:
|
Zubik-Kowal, Barbara |
| Language:
|
English |
| Journal:
|
Proceedings of Equadiff 14 |
| Volume:
|
Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017 |
| Issue:
|
2017 |
| Year:
|
|
| Pages:
|
97-106 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider iterative schemes applied to systems of linear ordinary differential equations and investigate their convergence in terms of magnitudes of the coefficients given in the systems. We address the question of whether the reordering of equations in a given system improves the convergence of an iterative scheme. (Czech) |
| Keyword:
|
Dynamic iterations, waveform relaxation, Gauss-Seidel schemes, convergence, error bounds |
| MSC:
|
65L04 |
| MSC:
|
65L20 |
| MSC:
|
65L70 |
| . |
| Date available:
|
2019-09-27T07:43:49Z |
| Last updated:
|
2019-09-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703031 |
| . |
| Reference:
|
[1] Butcher, J. C.: Numerical Methods for Ordinary Differential Equations., Second edition, John Wiley & Sons, Ltd., Chichester, 2008. MR 2401398 |
| Reference:
|
[2] Burrage, K.: Parallel and Sequential Methods for Ordinary Differential Equations., Oxford University Press, Oxford, 1995. MR 1367504 |
| Reference:
|
[3] Miekkala, U., Nevanlinna, O.: Convergence of dynamic iteration methods for initial value problems., SIAM J. Sci. Stat. Comput. 8 (1987), pp. 459–482. MR 0892300, 10.1137/0908046 |
| Reference:
|
[4] Miekkala, U., Nevanlinna, O.: Iterative solution of systems of linear differential equations., Acta Numerica (1996), pp. 259–307. MR 1624607, 10.1017/S096249290000266X |
| Reference:
|
[5] Zubik-Kowal, B.: Improving the convergence of iterative schemes., in preparation. |
| . |
