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Record Details

Record 46 of 44895
Observability of discretized partial differential equations
External Online Source: doi:10.1137/0725037
Author and Affiliation:
Cohn, Stephen E.(New York Univ., New York, NY, United States)
Dee, Dick P.(New York University, NY, United States)
Abstract: It is shown that complete observability of the discrete model used to assimilate data from a linear partial differential equation (PDE) system is necessary and sufficient for asymptotic stability of the data assimilation process. The observability theory for discrete systems is reviewed and applied to obtain simple observability tests for discretized constant-coefficient PDEs. Examples are used to show how numerical dispersion can result in discrete dynamics with multiple eigenvalues, thereby detracting from observability.
Publication Date: Jun 01, 1988
Document ID:
19890050298
(Acquired Nov 28, 1995)
Accession Number: 89A37669
Subject Category: NUMERICAL ANALYSIS
Document Type: Journal Article
Publication Information: SIAM Journal on Numerical Analysis (ISSN 0036-1429); 25; 586-617
Publisher Information: United States
Contract/Grant/Task Num: NOAA-NA-84AAD00018; NSF INT-83-14934; FINEP-4-3-84-0504-00; CNPQ-1,01,10,021-83; NAG5-820; NAG5-341; NSG-5130
Financial Sponsor: NASA; United States
Organization Source: New York Univ.; New York, NY, United States
Description: 32p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: Copyright
NASA Terms: DISCRETE FUNCTIONS; DYNAMICAL SYSTEMS; KALMAN FILTERS; OBSERVABILITY (SYSTEMS); PARTIAL DIFFERENTIAL EQUATIONS; BANACH SPACE; EIGENVALUES; FOURIER TRANSFORMATION; MATRICES (MATHEMATICS)
Imprint And Other Notes: SIAM Journal on Numerical Analysis (ISSN 0036-1429), vol. 25, June 1988, p. 586-617. Research supported by IBM Brazil.
Miscellaneous Notes: Research supported by IBM Brazil
Availability Source: Other Sources
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