Abstract: A new method is presented for estimating numerical errors in simulations as a function of space and time. This knowledge of numerical errors can provide critical information for the effective assimilation of external data. ...

Abstract: Wavelet analysis offers a new approach for viewing and analyzing various large datasets by dividing information according to scale and location. Here a new method is presented that is designed to characterize time-evolving ...

Abstract: Wavelet analysis provides information on the energy present at various scales and locations throughout a computational domain. This information is precisely the information that is needed to define the appropriate gridpoint ...

Abstract: The second generation of a new approach to data assimilation where wavelet analysis is used for error estimation is presented here. The first generation is known as EEWADAi. This modified and optimized method uses wavelet ...