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

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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6eac60ec0236f535f5456d18e9f557fa

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

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

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