54 citations · 117 across the 26 of their papers we have counts for
7 papers · 1 filter
Exponentially convergent data assimilation algorithm for Navier-Stokes equations
Jason Frank, Tigran Tchrakian, Sergiy Zhuk
The paper presents a new state estimation algorithm for a bilinear equation representing the Fourier- Galerkin (FG) approximation of the Navier-Stokes (NS) equations on a torus in…
Localised sequential state estimation for advection dominated flows with non-Gaussian uncertainty description
Emanuele Ragnoli, Mykhaylo Zayats, Fearghal O'Donncha +1
This paper presents a new iterative state estimation algorithm for advection dominated flows with non-Gaussian uncertainty description of -type: uncertain initial conditi…
A detectability criterion and data assimilation for non-linear differential equations
Jason Frank, Sergiy Zhuk
In this paper we propose a new sequential data assimilation method for non-linear ordinary differential equations with compact state space. The method is designed so that the Lyapu…
Minimax state estimates for abstract Neumann problems
Alexander Nakonechnyi, Sergiy Zhuk
The paper presents analytic expressions of minimax (worst-case) estimates for solutions of linear abstract Neumann problems in Hilbert space with uncertain (not necessarily bounded…
Where computer vision can aid physics: dynamic cloud motion forecasting from satellite images
Sergiy Zhuk, Tigran Tchrakian, Albert Akhriev +2
This paper describes a new algorithm for solar energy forecasting from a sequence of Cloud Optical Depth (COD) images. The algorithm is based on the following simple observation: t…
A Fast Distributed Data-Assimilation Algorithm for Divergence-Free Advection
Tigran Tchrakian, Sergiy Zhuk
In this paper, we introduce a new, fast data assimilation algorithm for a 2D linear advection equation with divergence-free coefficients. We first apply the nodal discontinuous Gal…