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  "title": "Software and Data Associated with Paper \"Data Assimilation in 2D Hyperbolic/Parabolic systems using stabilized explicit finite difference scheme run backward in time\".",
  "contactPoint": {
    "fn": "Alfred S. Carasso",
    "hasEmail": "mailto:alfred.carasso@nist.gov"
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    "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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  "publisher": {
    "name": "National Institute of Standards and Technology",
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  "language": [
    "en"
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  "bureauCode": [
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  "programCode": [
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  "annotated": "2023-06-22T18:40:57.674723",
  "revised": "2023-06-22T18:40:57.674723",
  "issued": null,
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