portada Wavelet Approximation in Data Assimilation (en Inglés)

Wavelet Approximation in Data Assimilation (en Inglés)

Formato

Libro Físico

Autor

Nasa Technical Reports Server (Ntrs)

Andrew Tangborn

Editorial

Bibliogov

Idioma

Inglés

N° páginas

Encuadernación

Tapa Blanda

Dimensiones

24.6x18.9x0.2 cm

Peso

0.09 kg.

ISBN13

9781289289737

Categorías

Política y gobierno

Wavelet Approximation in Data Assimilation (en Inglés)

Nasa Technical Reports Server (Ntrs) (Autor) · Andrew Tangborn (Autor) · Bibliogov · Tapa Blanda

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Reseña del libro "Wavelet Approximation in Data Assimilation (en Inglés)"

Estimation of the state of the atmosphere with the Kalman filter remains a distant goal because of high computational cost of evolving the error covariance for both linear and nonlinear systems. Wavelet approximation is presented here as a possible solution that efficiently compresses both global and local covariance information. We demonstrate the compression characteristics on the the error correlation field from a global two-dimensional chemical constituent assimilation, and implement an adaptive wavelet approximation scheme on the assimilation of the one-dimensional Burger's equation. In the former problem, we show that 99%, of the error correlation can be represented by just 3% of the wavelet coefficients, with good representation of localized features. In the Burger's equation assimilation, the discrete linearized equations (tangent linear model) and analysis covariance are projected onto a wavelet basis and truncated to just 6%, of the coefficients. A nearly optimal forecast is achieved and we show that errors due to truncation of the dynamics are no greater than the errors due to covariance truncation.