The effect of numerical model error on data assimilation

DOI10.1016/j.cam.2015.05.020zbMath1321.65133OpenAlexW2114721301MaRDI QIDQ492100

N. D. Smith, S. E. Jenkins, Melina A. Freitag, Chris J. Budd

Publication date: 19 August 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.05.020

zbMATH Keywords

finite difference schemesobservation errordata assimilationlinear advection equationnumerical resultnumerical weather predictiondeterministic errorinitialisationnumerical model error

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Meteorology and atmospheric physics (86A10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for first-order hyperbolic equations (35L03)

Related Items (2)

The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method ⋮ Fully discrete finite element data assimilation method for the heat equation

Uses Software

• Matlab

Cites Work

• Conditioning and preconditioning of the variational data assimilation problem
• Deblurring Images
• Very large inverse problems in atmosphere and ocean modelling
• On the Partial Difference Equations of Mathematical Physics
• Initial boundary value problems for hyperbolic systems
• Data Assimilation
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
• Adjoint methods in data assimilation for estimating model error
• 4D variational data analysis with imperfect model
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