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pro vyhledávání: '"Minion, Michael L."'
Autor:
Buvoli, Tommaso, Minion, Michael L.
Parareal is a well-known parallel-in-time algorithm that combines a coarse and fine propagator within a parallel iteration. It allows for large-scale parallelism that leads to significantly reduced computational time compared to serial time-stepping
Externí odkaz:
http://arxiv.org/abs/2301.03764
Autor:
Buvoli, Tommaso, Minion, Michael L.
Exponential integrators are a well-known class of time integration methods that have been the subject of many studies and developments in the past two decades. Surprisingly, there have been limited efforts to analyze their stability and efficiency on
Externí odkaz:
http://arxiv.org/abs/2108.00185
Autor:
Buvoli, Tommaso, Minion, Michael L.
Parareal is a widely studied parallel-in-time method that can achieve meaningful speedup on certain problems. However, it is well known that the method typically performs poorly on non-diffusive equations. This paper analyzes linear stability and con
Externí odkaz:
http://arxiv.org/abs/2011.01604
The modeling of atmospheric processes in the context of weather and climate simulations is an important and computationally expensive challenge. The temporal integration of the underlying PDEs requires a very large number of time steps, even when the
Externí odkaz:
http://arxiv.org/abs/1904.05988
Publikováno v:
SIAM J. Sci. Comput., 41(6), C603--C626, 2019
To solve optimization problems with parabolic PDE constraints, often methods working on the reduced objective functional are used. They are computationally expensive due to the necessity of solving both the state equation and a backward-in-time adjoi
Externí odkaz:
http://arxiv.org/abs/1901.06850
Publikováno v:
In Computers and Mathematics with Applications 1 October 2021 99:162-170
Publikováno v:
In Journal of Computational Physics 15 April 2020 407
Publikováno v:
In Journal of Computational Physics 1 January 2019 376:435-454
Akademický článek
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Publikováno v:
Mathematics of Computation, 2012 Oct 01. 81(280), 2127-2157.
Externí odkaz:
https://www.jstor.org/stable/23267939