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{
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{
            
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  "author": "D\u00f6rich, Benjamin",
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  "author": "D\u00f6rich, Benjamin",
            
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  "author_email": "",
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  "author_email": "",
            
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  "citation": [],
            
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  "creator_user_id": "17755db4-395a-4b3b-ac09-e8e3484ca700",
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  "creator_user_id": "17755db4-395a-4b3b-ac09-e8e3484ca700",
            
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  "doi": "10.35097/1539",
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  "doi": "10.35097/1539",
            
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  "doi_date_published": "2023",
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  "doi_date_published": "2023",
            
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  "doi_publisher": "",
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  "doi_publisher": "",
            
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  "doi_status": "True",
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  "doi_status": "True",
            
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  "extra_authors": [
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  "extra_authors": [
            
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    {
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    {
            
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      "extra_author": "Leibold, Jan",
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      "extra_author": "Leibold, Jan",
            
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n
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      "familyName": "Leibold",
            
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      "givenName": "Jan",
            
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      "orcid": ""
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      "orcid": ""
            
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    }
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    }
            
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  ],
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  ],
            
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  "familyName": "D\u00f6rich",
            
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  "givenName": "Benjamin",
            
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  "groups": [],
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  "groups": [],
            
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  "id": "5beb7c12-198b-4a87-af0c-28f51fbf2ce9",
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  "id": "5beb7c12-198b-4a87-af0c-28f51fbf2ce9",
            
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  "isopen": false,
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  "isopen": false,
            
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  "license_id": "CC BY-NC-SA 4.0 
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  "license_id": "CC BY-NC-SA 4.0 
            
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Attribution-NonCommercial-ShareAlike",
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Attribution-NonCommercial-ShareAlike",
            
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  "license_title": "CC BY-NC-SA 4.0 
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  "license_title": "CC BY-NC-SA 4.0 
            
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Attribution-NonCommercial-ShareAlike",
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Attribution-NonCommercial-ShareAlike",
            
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  "metadata_created": "2023-08-04T08:51:00.632793",
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  "metadata_created": "2023-08-04T08:51:00.632793",
            
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  "metadata_modified": "2023-08-04T09:31:29.463034",
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  "metadata_modified": "2024-11-28T13:15:47.312488",
            
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  "name": "rdr-doi-10-35097-1539",
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  "name": "rdr-doi-10-35097-1539",
            
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  "notes": "TechnicalRemarks: This code is used for the numerical 
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  "notes": "TechnicalRemarks: This code is used for the numerical 
            
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experiments in Section 6 of the paper \"Full discretization error 
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experiments in Section 6 of the paper \"Full discretization error 
            
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analysis of semilinear wave equations with exponential integrators\" 
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analysis of semilinear wave equations with exponential integrators\" 
            
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by Benjamin D\u00f6rich and Jan Leibold.\r\n\r\nThe computations are 
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by Benjamin D\u00f6rich and Jan Leibold.\r\n\r\nThe computations are 
            
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done in C++ using the Finite Element library deal.II;  the plots then 
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done in C++ using the Finite Element library deal.II;  the plots then 
            
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are generated with Matlab.\r\n\r\nTo use this code, deal.II (release 
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are generated with Matlab.\r\n\r\nTo use this code, deal.II (release 
            
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9.2.0) has to be installed, cf. https://www.dealii.org/9.2.0\r\n\r\nIn 
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9.2.0) has to be installed, cf. https://www.dealii.org/9.2.0\r\n\r\nIn 
            
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order to compile the program, open a terminal session in this folder 
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order to compile the program, open a terminal session in this folder 
            
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and call \"cmake -DDEAL_II_DIR=/path/to/deal.II .\".\r\nNext, call 
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and call \"cmake -DDEAL_II_DIR=/path/to/deal.II .\".\r\nNext, call 
            
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\"make release\" and then \"make\" to compile the files. \r\nFinally, 
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\"make release\" and then \"make\" to compile the files. \r\nFinally, 
            
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run the program with \"make run\".\r\nThis performs the computations 
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run the program with \"make run\".\r\nThis performs the computations 
            
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and generates files in the \"output\" folder containing the results of 
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and generates files in the \"output\" folder containing the results of 
            
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the numerical experiments.\r\n\r\nNote that the computations take 
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the numerical experiments.\r\n\r\nNote that the computations take 
            
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several hours to a few days depending on the computer.\r\n\r\nAfter 
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several hours to a few days depending on the computer.\r\n\r\nAfter 
            
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that, the plots can be generated with the Matlab Script 
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that, the plots can be generated with the Matlab Script 
            
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'plot_figures.m'.",
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'plot_figures.m'.",
            
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  "num_resources": 0,
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  "num_resources": 0,
            
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  "num_tags": 8,
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  "num_tags": 8,
            
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  "orcid": "0000-0001-5840-2270",
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  "orcid": "0000-0001-5840-2270",
            
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  "organization": {
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  "organization": {
            
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    "approval_status": "approved",
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    "approval_status": "approved",
            
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    "created": "2023-01-12T13:30:23.238233",
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    "created": "2023-01-12T13:30:23.238233",
            
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    "description": "RADAR (Research Data Repository) is a 
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    "description": "RADAR (Research Data Repository) is a 
            
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cross-disciplinary repository for archiving and publishing research 
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cross-disciplinary repository for archiving and publishing research 
            
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data from completed scientific studies and projects. The focus is on 
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data from completed scientific studies and projects. The focus is on 
            
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research data from subjects that do not yet have their own 
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research data from subjects that do not yet have their own 
            
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discipline-specific infrastructures for research data management. ",
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discipline-specific infrastructures for research data management. ",
            
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    "image_url": "radar-logo.svg",
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    "image_url": "radar-logo.svg",
            
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    "is_organization": true,
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    "is_organization": true,
            
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    "name": "radar",
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    "name": "radar",
            
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    "state": "active",
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    "state": "active",
            
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    "title": "RADAR",
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    "title": "RADAR",
            
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    "type": "organization"
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    "type": "organization"
            
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  },
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  },
            
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  "owner_org": "013c89a9-383c-4200-8baa-0f78bf1d91f9",
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  "owner_org": "013c89a9-383c-4200-8baa-0f78bf1d91f9",
            
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  "private": false,
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  "private": false,
            
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  "production_year": "2021",
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  "production_year": "2021",
            
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  "publication_year": "2023",
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  "publication_year": "2023",
            
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  "publishers": [
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  "publishers": [
            
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    {
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    {
            
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      "publisher": "Karlsruhe Institute of Technology"
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      "publisher": "Karlsruhe Institute of Technology"
            
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    }
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    }
            
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  ],
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  ],
            
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  "relationships_as_object": [],
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  "relationships_as_object": [],
            
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  "relationships_as_subject": [],
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  "relationships_as_subject": [],
            
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  "repository_name": "RADAR (Research Data Repository)",
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  "repository_name": "RADAR (Research Data Repository)",
            
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  "resources": [],
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  "resources": [],
            
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  "services_used_list": "",
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  "services_used_list": "",
            
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  "source_metadata_created": "2023",
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  "source_metadata_created": "2023",
            
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  "source_metadata_modified": "",
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  "source_metadata_modified": "",
            
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  "state": "active",
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  "state": "active",
            
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  "subject_areas": [
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  "subject_areas": [
            
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    {
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    {
            
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      "subject_area_additional": "",
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      "subject_area_additional": "",
            
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      "subject_area_name": "Mathematics"
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      "subject_area_name": "Mathematics"
            
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    }
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    }
            
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  ],
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  ],
            
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  "tags": [
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  "tags": [
            
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    {
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    {
            
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      "display_name": "a-priori error bounds",
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      "display_name": "a-priori error bounds",
            
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      "id": "79f3e8bf-9fa9-43ce-86a4-89c2f1d2cea5",
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      "id": "79f3e8bf-9fa9-43ce-86a4-89c2f1d2cea5",
            
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      "name": "a-priori error bounds",
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      "name": "a-priori error bounds",
            
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      "state": "active",
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      "state": "active",
            
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      "vocabulary_id": null
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      "vocabulary_id": null
            
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    },
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    },
            
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    {
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    {
            
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      "display_name": "dynamic boundary conditions",
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      "display_name": "dynamic boundary conditions",
            
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      "id": "0b489689-0088-40fd-ad56-f6b65e5f7baf",
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      "id": "0b489689-0088-40fd-ad56-f6b65e5f7baf",
            
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      "name": "dynamic boundary conditions",
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      "name": "dynamic boundary conditions",
            
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      "state": "active",
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      "state": "active",
            
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      "vocabulary_id": null
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      "vocabulary_id": null
            
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    },
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    },
            
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    {
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    {
            
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      "display_name": "error analysis",
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      "display_name": "error analysis",
            
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      "id": "408f9606-823e-4494-9527-e10be495ea6d",
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      "id": "408f9606-823e-4494-9527-e10be495ea6d",
            
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      "name": "error analysis",
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      "name": "error analysis",
            
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      "state": "active",
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      "state": "active",
            
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      "vocabulary_id": null
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      "vocabulary_id": null
            
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    },
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    },
            
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    {
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    {
            
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      "display_name": "exponential integrators",
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      "display_name": "exponential integrators",
            
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      "id": "6efc7347-e9cc-4510-9b7b-5c9238f3e95b",
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      "id": "6efc7347-e9cc-4510-9b7b-5c9238f3e95b",
            
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      "name": "exponential integrators",
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      "name": "exponential integrators",
            
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      "state": "active",
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      "state": "active",
            
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      "vocabulary_id": null
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      "vocabulary_id": null
            
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    },
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    },
            
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    {
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    {
            
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      "display_name": "full discretization",
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      "display_name": "full discretization",
            
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      "id": "273dd42e-75fd-4fb5-a20a-ba515f5b5fb9",
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      "id": "273dd42e-75fd-4fb5-a20a-ba515f5b5fb9",
            
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      "name": "full discretization",
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      "name": "full discretization",
            
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      "state": "active",
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      "state": "active",
            
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      "vocabulary_id": null
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      "vocabulary_id": null
            
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    },
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    },
            
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    {
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    {
            
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      "display_name": "nonconforming space discretization",
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      "display_name": "nonconforming space discretization",
            
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      "id": "762e29cb-acec-4b45-b30c-6b6a3ff57e98",
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      "id": "762e29cb-acec-4b45-b30c-6b6a3ff57e98",
            
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      "name": "nonconforming space discretization",
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      "name": "nonconforming space discretization",
            
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      "state": "active",
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      "state": "active",
            
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      "vocabulary_id": null
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      "vocabulary_id": null
            
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    },
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    },
            
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    {
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    {
            
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      "display_name": "semilinear evolution equations",
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      "display_name": "semilinear evolution equations",
            
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      "id": "d01a63b2-8fd2-4cf6-8953-a8cd0e30904b",
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      "id": "d01a63b2-8fd2-4cf6-8953-a8cd0e30904b",
            
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      "name": "semilinear evolution equations",
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      "name": "semilinear evolution equations",
            
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      "state": "active",
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      "state": "active",
            
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      "vocabulary_id": null
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      "vocabulary_id": null
            
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    },
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    },
            
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    {
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    {
            
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      "display_name": "wave equation",
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      "display_name": "wave equation",
            
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      "id": "cec2cefd-f3c3-4de9-b1d5-f680a3a88ff5",
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      "id": "cec2cefd-f3c3-4de9-b1d5-f680a3a88ff5",
            
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      "name": "wave equation",
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      "name": "wave equation",
            
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      "state": "active",
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      "state": "active",
            
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      "vocabulary_id": null
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      "vocabulary_id": null
            
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    }
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    }
            
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  ],
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  ],
            
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  "title": "Numerical experiments to \"full discretization error 
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  "title": "Numerical experiments to \"full discretization error 
            
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analysis of semilinear wave equations with exponential integrators\" 
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analysis of semilinear wave equations with exponential integrators\" 
            
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(version 2)",
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(version 2)",
            
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  "type": "vdataset",
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  "type": "vdataset",
            
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  "url": "https://doi.org/10.35097/1539"
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  "url": "https://doi.org/10.35097/1539"
            
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}
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}