Faster SDC convergence on non-equidistant grids by DIRK sweeps
Please always quote using this URN: urn:nbn:de:0297-zib-18662
- Spectral deferred correction methods for solving stiff ODEs are known to converge rapidly towards the collocation limit solution on equidistant grids, but show a much less favourable contraction on non-equidistant grids such as Radau-IIa points. We interprete SDC methods as fixed point iterations for the collocation system and propose new DIRK-type sweeps for stiff problems based on purely linear algebraic considerations. Good convergence is recovered also on non-equidistant grids. The properties of different variants are explored on a couple of numerical examples.
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| Author: | Martin WeiserORCiD |
|---|---|
| Document Type: | ZIB-Report |
| Tag: | spectral deferred correction |
| MSC-Classification: | 65-XX NUMERICAL ANALYSIS |
| Date of first Publication: | 2013/06/03 |
| Series (Serial Number): | ZIB-Report (13-30) |
| ISSN: | 1438-0064 |
| Published in: | to be published in BIT Numerical Mathematics |
| Licence (German): |  Creative Commons - Namensnennung-Keine Bearbeitung |
