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A Contribution to Wavelet-Based Subgrid Modeling

✍ Scribed by Ulf Andersson; Björn Engquist; Gunnar Ledfelt; Olof Runborg

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
186 KB
Volume
7
Category
Article
ISSN
1063-5203

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✦ Synopsis

A systematic technique for the derivation of subgrid scale models in the numerical solution of partial differential equations is described. The technique is based on Haar wavelet projections of the discrete operator followed by a sparse approximation. As numerical testing suggests, the resulting numerical method will accurately represent subgrid scale phenomena on a coarse grid. Applications to numerical homogenization and wave propagation in materials with subgrid inhomogeneities are presented.

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Application of wavelet-based multi-model
Application of wavelet-based multi-model Kalman filters to real-time flood forecasting
✍ Chien-Ming Chou; Ru-Yih Wang 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 318 KB 👁 1 views

## Abstract This paper presents the application of a multimodel method using a wavelet‐based Kalman filter (WKF) bank to simultaneously estimate decomposed state variables and unknown parameters for real‐time flood forecasting. Applying the Haar wavelet transform alters the state vector and input v