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f | 1 | { | f | 1 | { |
2 | "author": "Schrammer, Stefan", | 2 | "author": "Schrammer, Stefan", | ||
3 | "author_email": "", | 3 | "author_email": "", | ||
4 | "creator_user_id": "17755db4-395a-4b3b-ac09-e8e3484ca700", | 4 | "creator_user_id": "17755db4-395a-4b3b-ac09-e8e3484ca700", | ||
5 | "doi": "10.35097/1299", | 5 | "doi": "10.35097/1299", | ||
6 | "doi_date_published": "2023", | 6 | "doi_date_published": "2023", | ||
7 | "doi_publisher": "", | 7 | "doi_publisher": "", | ||
8 | "doi_status": "True", | 8 | "doi_status": "True", | ||
9 | "groups": [], | 9 | "groups": [], | ||
10 | "id": "88a8607a-add9-42d0-8a7b-e93aba64c34d", | 10 | "id": "88a8607a-add9-42d0-8a7b-e93aba64c34d", | ||
11 | "isopen": false, | 11 | "isopen": false, | ||
12 | "license_id": "CC BY-NC-SA 4.0 | 12 | "license_id": "CC BY-NC-SA 4.0 | ||
13 | Attribution-NonCommercial-ShareAlike", | 13 | Attribution-NonCommercial-ShareAlike", | ||
14 | "license_title": "CC BY-NC-SA 4.0 | 14 | "license_title": "CC BY-NC-SA 4.0 | ||
15 | Attribution-NonCommercial-ShareAlike", | 15 | Attribution-NonCommercial-ShareAlike", | ||
16 | "metadata_created": "2023-08-04T08:50:34.294023", | 16 | "metadata_created": "2023-08-04T08:50:34.294023", | ||
t | 17 | "metadata_modified": "2023-08-04T08:53:30.340776", | t | 17 | "metadata_modified": "2023-08-04T09:04:11.942565", |
18 | "name": "rdr-doi-10-35097-1299", | 18 | "name": "rdr-doi-10-35097-1299", | ||
19 | "notes": "TechnicalRemarks: Instructions:\r\n\r\nThe scripts inside | 19 | "notes": "TechnicalRemarks: Instructions:\r\n\r\nThe scripts inside | ||
20 | the subfolders are intended to reproduce the figures from | 20 | the subfolders are intended to reproduce the figures from | ||
21 | the\r\npreprint\r\n> Rank-adaptive dynamical low-rank integrators | 21 | the\r\npreprint\r\n> Rank-adaptive dynamical low-rank integrators | ||
22 | for\r\nfirst-order and second-order matrix differential | 22 | for\r\nfirst-order and second-order matrix differential | ||
23 | equations\r\n\r\n\r\nby Marlis Hochbruck, Markus Neher, and Stefan | 23 | equations\r\n\r\n\r\nby Marlis Hochbruck, Markus Neher, and Stefan | ||
24 | Schrammer\r\n\r\nRequirements\r\n\r\nThe codes are tested | 24 | Schrammer\r\n\r\nRequirements\r\n\r\nThe codes are tested | ||
25 | with\r\n\r\nUbuntu 20.04.2 LTS and Python 3.8.5 and the following | 25 | with\r\n\r\nUbuntu 20.04.2 LTS and Python 3.8.5 and the following | ||
26 | version of its modules:\r\n\r\n numpy 1.19.2\r\n | 26 | version of its modules:\r\n\r\n numpy 1.19.2\r\n | ||
27 | scipy 1.5.2\r\n numba 0.51.2\r\n colorama | 27 | scipy 1.5.2\r\n numba 0.51.2\r\n colorama | ||
28 | 0.4.4\r\n h5py 2.10.0\r\n matplotlib 3.3.2\r\n | 28 | 0.4.4\r\n h5py 2.10.0\r\n matplotlib 3.3.2\r\n | ||
29 | tikzplotlib 0.9.6\r\n \r\nGeneration of figures (tikz files | 29 | tikzplotlib 0.9.6\r\n \r\nGeneration of figures (tikz files | ||
30 | containing the data are also created)\r\n\r\nIn the folder fracginz | 30 | containing the data are also created)\r\n\r\nIn the folder fracginz | ||
31 | open a console and run the commands\r\n 1. to create the data for | 31 | open a console and run the commands\r\n 1. to create the data for | ||
32 | Figures (1) and (2)\r\n python3 fgl.py\r\n 2. to create | 32 | Figures (1) and (2)\r\n python3 fgl.py\r\n 2. to create | ||
33 | Figures (1) and (2)\r\n python3 fgl_results.py\r\n | 33 | Figures (1) and (2)\r\n python3 fgl_results.py\r\n | ||
34 | \r\nIn the folder fracschr open a console and run the commands\r\n | 34 | \r\nIn the folder fracschr open a console and run the commands\r\n | ||
35 | 3. to create the data for Figure (3)\r\n python3 fsr.py\r\n | 35 | 3. to create the data for Figure (3)\r\n python3 fsr.py\r\n | ||
36 | 4. to create Figure (3)\r\n python3 fsr_results.py\r\n | 36 | 4. to create Figure (3)\r\n python3 fsr_results.py\r\n | ||
37 | \r\nIn the folder laserplasma open a console and run the commands\r\n | 37 | \r\nIn the folder laserplasma open a console and run the commands\r\n | ||
38 | 5. to create the data for Figures (4) and (5)\r\n python3 | 38 | 5. to create the data for Figures (4) and (5)\r\n python3 | ||
39 | lpi.py\r\n 6. to create Figures (4) and (5)\r\n python3 | 39 | lpi.py\r\n 6. to create Figures (4) and (5)\r\n python3 | ||
40 | lpi_globalerr.py\r\n python3 lpi_svals_maxint.py\r\n | 40 | lpi_globalerr.py\r\n python3 lpi_svals_maxint.py\r\n | ||
41 | \r\nIn the folder sineg open a console and run the commands\r\n 7. | 41 | \r\nIn the folder sineg open a console and run the commands\r\n 7. | ||
42 | to create the data for Figures (6) and (7)\r\n python3 | 42 | to create the data for Figures (6) and (7)\r\n python3 | ||
43 | sineg.py\r\n 8. to create Figures (6) and (7)\r\n python3 | 43 | sineg.py\r\n 8. to create Figures (6) and (7)\r\n python3 | ||
44 | sineg_globalerr_ranks.py\r\n\r\n\r\nIf the reference solutions shall | 44 | sineg_globalerr_ranks.py\r\n\r\n\r\nIf the reference solutions shall | ||
45 | be recomputed, uncomment the line\r\n\r\nmethods.append(...)\r\n\r\nat | 45 | be recomputed, uncomment the line\r\n\r\nmethods.append(...)\r\n\r\nat | ||
46 | the beginning of the scripts fgl.py, fsr.py, lpi.py, and sineg.py, | 46 | the beginning of the scripts fgl.py, fsr.py, lpi.py, and sineg.py, | ||
47 | respectively.", | 47 | respectively.", | ||
48 | "num_resources": 0, | 48 | "num_resources": 0, | ||
49 | "num_tags": 3, | 49 | "num_tags": 3, | ||
50 | "orcid": "0000-0002-4837-5536", | 50 | "orcid": "0000-0002-4837-5536", | ||
51 | "organization": { | 51 | "organization": { | ||
52 | "approval_status": "approved", | 52 | "approval_status": "approved", | ||
53 | "created": "2023-01-12T13:30:23.238233", | 53 | "created": "2023-01-12T13:30:23.238233", | ||
54 | "description": "RADAR (Research Data Repository) is a | 54 | "description": "RADAR (Research Data Repository) is a | ||
55 | cross-disciplinary repository for archiving and publishing research | 55 | cross-disciplinary repository for archiving and publishing research | ||
56 | data from completed scientific studies and projects. The focus is on | 56 | data from completed scientific studies and projects. The focus is on | ||
57 | research data from subjects that do not yet have their own | 57 | research data from subjects that do not yet have their own | ||
58 | discipline-specific infrastructures for research data management. ", | 58 | discipline-specific infrastructures for research data management. ", | ||
59 | "id": "013c89a9-383c-4200-8baa-0f78bf1d91f9", | 59 | "id": "013c89a9-383c-4200-8baa-0f78bf1d91f9", | ||
60 | "image_url": "radar-logo.svg", | 60 | "image_url": "radar-logo.svg", | ||
61 | "is_organization": true, | 61 | "is_organization": true, | ||
62 | "name": "radar", | 62 | "name": "radar", | ||
63 | "state": "active", | 63 | "state": "active", | ||
64 | "title": "RADAR", | 64 | "title": "RADAR", | ||
65 | "type": "organization" | 65 | "type": "organization" | ||
66 | }, | 66 | }, | ||
67 | "owner_org": "013c89a9-383c-4200-8baa-0f78bf1d91f9", | 67 | "owner_org": "013c89a9-383c-4200-8baa-0f78bf1d91f9", | ||
68 | "private": false, | 68 | "private": false, | ||
69 | "production_year": "2022", | 69 | "production_year": "2022", | ||
70 | "publication_year": "2023", | 70 | "publication_year": "2023", | ||
71 | "publishers": [ | 71 | "publishers": [ | ||
72 | { | 72 | { | ||
73 | "publisher": "Karlsruhe Institute of Technology" | 73 | "publisher": "Karlsruhe Institute of Technology" | ||
74 | } | 74 | } | ||
75 | ], | 75 | ], | ||
76 | "relationships_as_object": [], | 76 | "relationships_as_object": [], | ||
77 | "relationships_as_subject": [], | 77 | "relationships_as_subject": [], | ||
78 | "repository_name": "RADAR (Research Data Repository)", | 78 | "repository_name": "RADAR (Research Data Repository)", | ||
79 | "resources": [], | 79 | "resources": [], | ||
80 | "services_used_list": "", | 80 | "services_used_list": "", | ||
81 | "source_metadata_created": "2023", | 81 | "source_metadata_created": "2023", | ||
82 | "source_metadata_modified": "", | 82 | "source_metadata_modified": "", | ||
83 | "state": "active", | 83 | "state": "active", | ||
84 | "subject_areas": [ | 84 | "subject_areas": [ | ||
85 | { | 85 | { | ||
86 | "subject_area_additional": "", | 86 | "subject_area_additional": "", | ||
87 | "subject_area_name": "Mathematics" | 87 | "subject_area_name": "Mathematics" | ||
88 | } | 88 | } | ||
89 | ], | 89 | ], | ||
90 | "tags": [ | 90 | "tags": [ | ||
91 | { | 91 | { | ||
92 | "display_name": "dynamical low-rank approximation", | 92 | "display_name": "dynamical low-rank approximation", | ||
93 | "id": "dac7d850-535c-4660-8415-48b606d95ea6", | 93 | "id": "dac7d850-535c-4660-8415-48b606d95ea6", | ||
94 | "name": "dynamical low-rank approximation", | 94 | "name": "dynamical low-rank approximation", | ||
95 | "state": "active", | 95 | "state": "active", | ||
96 | "vocabulary_id": null | 96 | "vocabulary_id": null | ||
97 | }, | 97 | }, | ||
98 | { | 98 | { | ||
99 | "display_name": "matrix differential equations", | 99 | "display_name": "matrix differential equations", | ||
100 | "id": "e275b9de-78a0-4ad7-9a95-615d5573478d", | 100 | "id": "e275b9de-78a0-4ad7-9a95-615d5573478d", | ||
101 | "name": "matrix differential equations", | 101 | "name": "matrix differential equations", | ||
102 | "state": "active", | 102 | "state": "active", | ||
103 | "vocabulary_id": null | 103 | "vocabulary_id": null | ||
104 | }, | 104 | }, | ||
105 | { | 105 | { | ||
106 | "display_name": "rank-adaptivity", | 106 | "display_name": "rank-adaptivity", | ||
107 | "id": "980509d2-b666-4faf-9f69-470354566d1b", | 107 | "id": "980509d2-b666-4faf-9f69-470354566d1b", | ||
108 | "name": "rank-adaptivity", | 108 | "name": "rank-adaptivity", | ||
109 | "state": "active", | 109 | "state": "active", | ||
110 | "vocabulary_id": null | 110 | "vocabulary_id": null | ||
111 | } | 111 | } | ||
112 | ], | 112 | ], | ||
113 | "title": "Numerical experiments to \"rank-adaptive dynamical | 113 | "title": "Numerical experiments to \"rank-adaptive dynamical | ||
114 | low-rank integrators for first-order and second-order matrix | 114 | low-rank integrators for first-order and second-order matrix | ||
115 | differential equations\"", | 115 | differential equations\"", | ||
116 | "type": "vdataset", | 116 | "type": "vdataset", | ||
117 | "url": "https://doi.org/10.35097/1299" | 117 | "url": "https://doi.org/10.35097/1299" | ||
118 | } | 118 | } |