2026-10-13T08:15:35Zhttps://www.radar-service.eu/oai/OAIHandler10.35097/14082026-10-09T10:58:59Zradar4kit
https://dx.doi.org/10.35097/1408
Schrammer, Stefan
Numerical experiments for "Rank-adaptive dynamical low-rank integrators for first-order and second-order matrix differential equations"
Karlsruhe Institute of Technology
2023
Mathematics
dataset
Dataset
info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode
Hochbruck, Marlis
Neher, Markus
##### Instructions:
The scripts inside the subfolder are intended to reproduce the figures from the
preprint
###### Rank-adaptive dynamical low-rank integrators for first-order and second-order matrix differential equations
by Marlis Hochbruck, Markus Neher, and Stefan Schrammer
We provide two different versions of the code:
- Code_rad_wo_ref.zip provides the scripts for computing and plotting the data for all numerical
experiments.
- Code_rad_incl_all.zip additionally provides the reference solutions as well as the low-rank
approximations as hdf5-files.
##### Requirements
The codes are tested with
Ubuntu 20.04.2 LTS and Python 3.8.5 and the following version of its modules:
numpy 1.19.2
scipy 1.5.2
numba 0.51.2
colorama 0.4.4
h5py 2.10.0
matplotlib 3.3.2
tikzplotlib 0.9.6
###### Generation of figures (tikz files containing the data are also created)
In the folder fracginz open a console and run the commands
to create the data for Figures (1) and (2)
python3 fgl.py
to create Figures (1) and (2)
python3 fgl_results.py
In the folder fracschr open a console and run the commands
to create the data for Figure (3)
python3 fsr.py
to create Figure (3)
python3 fsr_results.py
In the folder laserplasma open a console and run the commands
to create the data for Figures (4) and (5)
python3 lpi.py
to create Figures (4) and (5)
python3 lpi_globalerr.py
python3 lpi_svals_maxint.py
In the folder sinegordon open a console and run the commands
to create the data for Figures (6) and (7)
python3 sineg.py
to create Figures (6) and (7)
python3 sineg_globalerr_ranks.py
Hochbruck, Marlis
Neher, Markus
10.5445/IR/1000153539
KITopen-DOI
application/x-tar