Publication: DeC and ADER: Similarities, Differences and a Unified Framework
DeC and ADER: Similarities, Differences and a Unified Framework
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Han Veiga, M., Öffner, P., & Torlo, D. (2021). DeC and ADER: Similarities, Differences and a Unified Framework. Journal of Scientific Computing, 87(2), 2. https://doi.org/10.1007/s10915-020-01397-5
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In this paper, we demonstrate that the explicit ADER approach as it is used inter alia in Zanotti et al. (Comput Fluids 118:204–224, 2015) can be seen as a special interpretation of the deferred correction (DeC) method as introduced in Dutt et al. (BIT Numer Math 40(2):241– 266, 2000). By using this fact, we are able to embed ADER in a theoretical background of time integration schemes and prove the relation between the accuracy order and the number of iterations which are needed to reach the desired order. Next, we extend our investi
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- Han Veiga, Maria
- Öffner, Philipp
- Torlo, Davide
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Han Veiga, M., Öffner, P., & Torlo, D. (2021). DeC and ADER: Similarities, Differences and a Unified Framework. Journal of Scientific Computing, 87(2), 2. https://doi.org/10.1007/s10915-020-01397-5