Výsledky vyhledávání - "Michael L. Minion"

An Efficient Parallel-in-Time Method for Optimization with Parabolic PDEs

Autor: Sebastian Götschel, Michael L. Minion

Publikováno v: SIAM Journal on Scientific Computing, vol 41, iss 6
Götschel, Sebastian; & Minion, Michael L. (2019). An Efficient Parallel-in-Time Method for Optimization with Parabolic PDEs. Lawrence Berkeley National Laboratory: Retrieved from: http://www.escholarship.org/uc/item/5zm4b7kd

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: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b569d4c22dd9ad23b21c48bf88c25265
https://doi.org/10.1137/19m1239313

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On the stability of exponential integrators for non-diffusive equations

Autor: Tommaso Buvoli, Michael L. Minion

Publikováno v: Journal of Computational and Applied Mathematics. 409:114126

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: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cda370d5630c5d4aee94c7982621bd2d
https://doi.org/10.1016/j.cam.2022.114126

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Higher-order temporal integration for the incompressible Navier–Stokes equations in bounded domains

Autor: Michael L. Minion, Robert Saye

Publikováno v: Journal of Computational Physics. 375:797-822

Author(s): Minion, ML; Saye, RI | Abstract: This paper compares and contrasts higher-order, semi-implicit temporal integration strategies for the incompressible Navier–Stokes methods based on spectral deferred corrections applied to certain gauge o

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https://doi.org/10.1016/j.jcp.2018.08.054

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IMEX Runge-Kutta Parareal for Non-diffusive Equations

Autor: Michael L. Minion, Tommaso Buvoli

Publikováno v: Springer Proceedings in Mathematics & Statistics ISBN: 9783030759322

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

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https://doi.org/10.1007/978-3-030-75933-9_5

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Twelve Ways To Fool The Masses When Giving Parallel-In-Time Results

Autor: Michael L. Minion, Sebastian Götschel, Robert Speck, Daniel Ruprecht

Publikováno v: Cham : Springer International Publishing, Springer Proceedings in Mathematics & Statistics 356, 81-94 (2021). doi:10.1007/978-3-030-75933-9_4
Parallel-in-Time Integration Methods
Parallel-in-Time Integration Methods9th Workshop on Parallel-in-Time Integration, PinT9, online, online, 2020-06-08-2020-06-12
Springer Proceedings in Mathematics & Statistics ISBN: 9783030759322

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

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An experimental comparison of a space-time multigrid method with PFASST for a reaction-diffusion problem

Autor: Rolf Krause, Michael L. Minion, Pietro Benedusi

Author(s): Benedusi, P; Minion, ML; Krause, R | Abstract: 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 T

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http://arxiv.org/abs/2006.12883

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Parallel-in-time multi-level integration of the shallow-water equations on the rotating sphere

Autor: François P. Hamon, Martin Schreiber, Michael L. Minion

Publikováno v: Hamon, Francois P; Schreiber, Martin; & Minion, Michael L. (2019). Parallel-in-Time Multi-Level Integration of the Shallow-Water Equations on the Rotating Sphere. Lawrence Berkeley National Laboratory: Retrieved from: http://www.escholarship.org/uc/item/24t161wr

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: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98249fdd315a2454bb1f0e0b78776fd2
https://escholarship.org/uc/item/24t161wr

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Parallel-In-Time Magnus Integrators

Autor: Michael L. Minion, Brandon Krull

Publikováno v: SIAM Journal on Scientific Computing, vol 41, iss 5

Magnus integrators are a subset of geometric integration methods for the numerical solution of ordinary differential equations that conserve certain invariants in the numerical solution. This paper explores temporal parallelism of Magnus integrators,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d16fd6fc2fce88915e3ca83249721e8
https://escholarship.org/uc/item/8r38q095

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Improved Coupling of Hydrodynamics and Nuclear Reactions via Spectral Deferred Corrections

Autor: John B. Bell, Michael L. Minion, M. P. Katz, Weiqun Zhang, Michael Zingale, Andrew Nonaka

Publikováno v: The Astrophysical Journal, vol 886, iss 2
Astrophysical Journal, vol 886, iss 2

Simulations in stellar astrophysics involve the coupling of hydrodynamics and nuclear reactions under a wide variety of conditions, from simmering convective flows to explosive nucleosynthesis. Numerical techniques such as operator splitting (most no

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A fourth-order adaptive mesh refinement algorithm for the multicomponent, reacting compressible Navier–Stokes equations

Autor: Michael L. Minion, Emmanuel Motheau, John B. Bell, Weiqun Zhang, Matthew Emmett

Publikováno v: Emmett, M; Motheau, E; Zhang, W; Minion, M; & Bell, JB. (2019). A fourth-order adaptive mesh refinement algorithm for the multicomponent, reacting compressible Navier–Stokes equations. Combustion Theory and Modelling, 1-34. doi: 10.1080/13647830.2019.1566574. Lawrence Berkeley National Laboratory: Retrieved from: http://www.escholarship.org/uc/item/6tw430rw
Combustion Theory and Modelling, vol 23, iss 4

© 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group. 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 equati

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b3e5bcdd0f198c41e2776e9d3d895e8
http://www.escholarship.org/uc/item/6tw430rw

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