Faster SDC convergence on non-equidistant grids by DIRK sweeps
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| 001 | 605497117 | ||
| 003 | CHVBK | ||
| 005 | 20210128100539.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151201xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10543-014-0540-y |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10543-014-0540-y | ||
| 100 | 1 | |a Weiser |D Martin |u Zuse Institute Berlin, Takustr. 7, 14195, Berlin, Germany |4 aut | |
| 245 | 1 | 0 | |a Faster SDC convergence on non-equidistant grids by DIRK sweeps |h [Elektronische Daten] |c [Martin Weiser] |
| 520 | 3 | |a Spectral deferred correction methods for solving stiff ODEs are known to converge reasonably fast towards the collocation limit solution on equidistant grids, but show a 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. | |
| 540 | |a Springer Science+Business Media Dordrecht, 2014 | ||
| 690 | 7 | |a Spectral deferred correction |2 nationallicence | |
| 690 | 7 | |a Diagonally implicit Runge-Kutta |2 nationallicence | |
| 690 | 7 | |a Contraction rate |2 nationallicence | |
| 773 | 0 | |t BIT Numerical Mathematics |d Springer Netherlands |g 55/4(2015-12-01), 1219-1241 |x 0006-3835 |q 55:4<1219 |1 2015 |2 55 |o 10543 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10543-014-0540-y |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10543-014-0540-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Weiser |D Martin |u Zuse Institute Berlin, Takustr. 7, 14195, Berlin, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t BIT Numerical Mathematics |d Springer Netherlands |g 55/4(2015-12-01), 1219-1241 |x 0006-3835 |q 55:4<1219 |1 2015 |2 55 |o 10543 | ||