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Software and Data Associated with Paper "Data Assimilation in 2D Hyperbolic/Parabolic systems using stabilized explicit finite difference scheme run backward in time".

Metadata Updated: June 27, 2023

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.

Access & Use Information

Public: This dataset is intended for public access and use. License: See this page for license information.

Downloads & Resources

Dates

Metadata Created Date June 27, 2023
Metadata Updated Date June 27, 2023
Data Update Frequency irregular

Metadata Source

Harvested from NIST

Additional Metadata

Resource Type Dataset
Metadata Created Date June 27, 2023
Metadata Updated Date June 27, 2023
Publisher National Institute of Standards and Technology
Maintainer
Identifier ark:/88434/mds2-3029
Data First Published 2023-06-22
Language en
Data Last Modified 2023-06-22 00:00:00
Category Mathematics and Statistics:Mathematical knowledge management
Public Access Level public
Data Update Frequency irregular
Bureau Code 006:55
Metadata Context https://project-open-data.cio.gov/v1.1/schema/data.json
Schema Version https://project-open-data.cio.gov/v1.1/schema
Catalog Describedby https://project-open-data.cio.gov/v1.1/schema/catalog.json
Harvest Object Id 9e1deb2e-825b-4828-bb92-94d815a7ef25
Harvest Source Id 74e175d9-66b3-4323-ac98-e2a90eeb93c0
Harvest Source Title NIST
Homepage URL https://data.nist.gov/od/id/mds2-3029
License https://www.nist.gov/open/license
Program Code 006:045
Source Datajson Identifier True
Source Hash 5dde6ae7c8ed2eba1102662a5586df0f045ec69d
Source Schema Version 1.1

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