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[[Category:benchmark]] | |||
[[Category:ODE]] | |||
[[Category:linear]] | |||
[[Category:time invariant]] | |||
[[Category:first differential order]] | |||
[[Category:MIMO]] | |||
[[Category:Sparse]] | |||
{{Infobox | {{Infobox | ||
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|nparameters = 0 | |nparameters = 0 | ||
|components = A, B, C, E | |components = A, B, C, E | ||
|License = | |License = CC-by 4.0 | ||
|Creator = | |Creator = | ||
* [[User:Saak]] | * [[User:Saak]] | ||
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* Köhler, Martin, Norman Lang, and Jens Saak. “Solving Differential Matrix Equations Using Parareal.” PAMM 16, no. 1 (October 2016): 847–48. https://doi.org/10.1002/pamm.201610412. (@[[User:Saak]]: please confirm) | * Köhler, Martin, Norman Lang, and Jens Saak. “Solving Differential Matrix Equations Using Parareal.” PAMM 16, no. 1 (October 2016): 847–48. https://doi.org/10.1002/pamm.201610412. (@[[User:Saak]]: please confirm) | ||
* Schulze, Jonas. “A Low-Rank Parareal Solver for Differential Riccati Equations Written in Julia.” Otto-von-Guericke-Universität Magdeburg, 2022. https://doi.org/10.5281/zenodo.7843197. | * Schulze, Jonas. “A Low-Rank Parareal Solver for Differential Riccati Equations Written in Julia.” Otto-von-Guericke-Universität Magdeburg, 2022. https://doi.org/10.5281/zenodo.7843197. | ||
* ... | |||
== Data == | |||
{| class="wikitable" style="margin: auto; text-align:right;" | |||
|+ style="caption-side:bottom;"| | |||
|- | |||
| | |||
|# nonzeros in A | |||
|# nonzeros in E | |||
|max. mesh width | |||
|- | |||
|[https://csc.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/SteelProfile-dim1e3-rail_371.zip SteelProfile-dim1e3-rail_371.zip] (32kB) | |||
|2341 | |||
|2343 | |||
| | |||
|} | |||
== Related Variants == | == Related Variants == | ||
Latest revision as of 16:01, 11 April 2024
| Background | |
|---|---|
| Benchmark ID |
|
| Category | |
| System-Class |
LTI-FOS |
| Parameters | |
| nstates |
|
| ninputs |
7 |
| noutputs |
6 |
| nparameters |
0 |
| components |
A, B, C, E |
| Copyright | |
| License |
CC-by 4.0 |
| Creator |
|
| Editor | |
| Location | |
|
NA | |
This is a small configuration of the original Steel Profile,
that was not published in the Oberwolfach Collection.
There are several publications that used this benchmark despite citing Steel Profile:
- Köhler, Martin, Norman Lang, and Jens Saak. “Solving Differential Matrix Equations Using Parareal.” PAMM 16, no. 1 (October 2016): 847–48. https://doi.org/10.1002/pamm.201610412. (@User:Saak: please confirm)
- Schulze, Jonas. “A Low-Rank Parareal Solver for Differential Riccati Equations Written in Julia.” Otto-von-Guericke-Universität Magdeburg, 2022. https://doi.org/10.5281/zenodo.7843197.
- ...
Data
| # nonzeros in A | # nonzeros in E | max. mesh width | |
| SteelProfile-dim1e3-rail_371.zip (32kB) | 2341 | 2343 |
Related Variants
- Steel Profile: dimensions 1357, 5177, 20209, 79841
- FEniCS Rail: dimensions 371, 1357, 5177, 20209, 79841, 317377, 1265537