Communications in Applied Mathematics and Computational Science · 2010 · 134 citations · 17 references
Natural SciencesMeteorologyAtmospheric DynamicsComputational Fluid DynamicsDynamical SystemsBayesian FilteringData AssimilationKalman FilteringParameter EstimationParticle FilteringState EstimationNonlinear Differential-algebraic EquationsParameter IdentificationParticle Filter Data AssimilationParticle Filters
Implicit particle filters for data assimilation update the particles by first choosing probabilities and then looking for particle locations that assume them, guiding the particles one by one to the high probability domain. We provide a detailed description of these filters, with illustrative examples, together with new, more general, methods for solving the algebraic equations and with a new algorithm for parameter identification.
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A Stochastic Approximation Method
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