Software and Data Associated with Paper "Data Assimilation in 2D Hyperbolic/Parabolic systems using stabilized explicit finite difference scheme run backward in time".
Images and Fortran codes used to generate results in the paper "Data Assimilation in 2D Hyperbolic/Parabolic systems using stabilized explicit finite difference scheme run backward in time" by Alfred Carasso. . In data assimilation one is given a proposed solution to a time-dependent partial differential equation at some time T and are asked to identify an initial condition at some earlier time 0 that evolves into the given solution at time T. In this paper an artificial example of a coupled system of three nonlinear partial differential equations generalizing 2D thermoelastic vibrations, is used to demonstrate the effectiveness, as well as the limitations, of a non-iterative direct procedure in data assimilation. Data assimilation is illustrated using 512 x 512 pixel images. Such images are associated with highly irregular non-smooth intensity data that severely challenge ill-posed reconstruction procedures.
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Complete Metadata
| @type | dcat:Dataset |
|---|---|
| accessLevel | public |
| accrualPeriodicity | irregular |
| bureauCode |
[ "006:55" ] |
| contactPoint |
{ "fn": "Alfred S. Carasso", "hasEmail": "mailto:alfred.carasso@nist.gov" } |
| description | Images and Fortran codes used to generate results in the paper "Data Assimilation in 2D Hyperbolic/Parabolic systems using stabilized explicit finite difference scheme run backward in time" by Alfred Carasso. . In data assimilation one is given a proposed solution to a time-dependent partial differential equation at some time T and are asked to identify an initial condition at some earlier time 0 that evolves into the given solution at time T. In this paper an artificial example of a coupled system of three nonlinear partial differential equations generalizing 2D thermoelastic vibrations, is used to demonstrate the effectiveness, as well as the limitations, of a non-iterative direct procedure in data assimilation. Data assimilation is illustrated using 512 x 512 pixel images. Such images are associated with highly irregular non-smooth intensity data that severely challenge ill-posed reconstruction procedures. |
| distribution |
[ { "title": "Codes and image data", "mediaType": "application/zip", "description": "Fortran codes and image data", "downloadURL": "https://data.nist.gov/od/ds/mds2-3029/ASMECODES.zip" } ] |
| identifier | ark:/88434/mds2-3029 |
| issued | 2023-06-22 |
| keyword |
[ "applied mathematical analysis" ] |
| landingPage | https://data.nist.gov/od/id/mds2-3029 |
| language |
[ "en" ] |
| license | https://www.nist.gov/open/license |
| modified | 2023-06-22 00:00:00 |
| programCode |
[ "006:045" ] |
| publisher |
{ "name": "National Institute of Standards and Technology", "@type": "org:Organization" } |
| theme |
[ "Mathematics and Statistics:Mathematical knowledge management" ] |
| title | Software and Data Associated with Paper "Data Assimilation in 2D Hyperbolic/Parabolic systems using stabilized explicit finite difference scheme run backward in time". |
