Zobrazeno 1 - 10
of 105
pro vyhledávání: '"MINION, MICHAEL"'
Publikováno v:
SIAM Journal on Scientific Computing 46(3), pp. A1690 - A1713, 2024
Spectral deferred corrections (SDC) are a class of iterative methods for the numerical solution of ordinary differential equations. SDC can be interpreted as a Picard iteration to solve a fully implicit collocation problem, preconditioned with a low-
Externí odkaz:
http://arxiv.org/abs/2310.08352
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
Publikováno v:
In: Ong B., Schroder J., Shipton J., Friedhoff S. (eds) Parallel-in-Time Integration Methods. PinT 2020. Springer Proceedings in Mathematics & Statistics, vol 356. Springer, Cham
Getting good speedup -- let alone high parallel efficiency -- for parallel-in-time (PinT) integration examples can be frustratingly difficult. The high complexity and large number of parameters in PinT methods can easily (and unintentionally) lead to
Externí odkaz:
http://arxiv.org/abs/2102.11670
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
We consider two parallel-in-time approaches applied to a (reaction) diffusion problem, possibly non-linear. In particular, we consider PFASST (Parallel Full Approximation Scheme in Space and Time) and space-time multilevel strategies. For both approa
Externí odkaz:
http://arxiv.org/abs/2006.12883
Autor:
Buvoli, Tommaso, Minion, Michael
Publikováno v:
In Journal of Computational Physics 15 January 2024 497
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
In this paper we present a fourth-order in space and time block-structured adaptive mesh refinement algorithm for the compressible multicomponent reacting Navier-Stokes equations. The algorithm uses a finite volume approach that incorporates a fourth
Externí odkaz:
http://arxiv.org/abs/1806.10718