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.
About this Dataset
| Title | Software and Data Associated with Paper "Data Assimilation in 2D Hyperbolic/Parabolic systems using stabilized explicit finite difference scheme run backward in time". |
|---|---|
| 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. |
| Modified | 2023-06-22 00:00:00 |
| Publisher Name | National Institute of Standards and Technology |
| Contact | mailto:[email protected] |
| Keywords | applied mathematical analysis |
{
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"fn": "Alfred S. Carasso"
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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\".",
"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.",
"language": [
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"title": "Codes and image data"
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"modified": "2023-06-22 00:00:00",
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