Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Cecilia F. Mondaini"'
Publikováno v:
Stochastics and Partial Differential Equations: Analysis and Computations. 10:1318-1391
We establish the geometric ergodicity of the preconditioned Hamiltonian Monte Carlo (HMC) algorithm defined on an infinite-dimensional Hilbert space, as developed in Beskos et al. (Stoch Process Appl 121(10):2201–2230, 2011). This algorithm can be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f18a21ab611d92de351fce5f63332e3
https://doi.org/10.1007/s40072-021-00211-z
https://doi.org/10.1007/s40072-021-00211-z
Publikováno v:
IMA Journal of Numerical Analysis. 40:2584-2625
Our aim is to approximate a reference velocity field solving the two-dimensional Navier–Stokes equations (NSE) in the absence of its initial condition by utilizing spatially discrete measurements of that field, available at a coarse scale, and cont
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f43a6634c3d78cec9151f334153edbd
https://doi.org/10.1093/imanum/drz043
https://doi.org/10.1093/imanum/drz043
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 36:295-326
Based on a previously introduced downscaling data assimilation algorithm, which employs a nudging term to synchronize the coarse mesh spatial scales, we construct a determining map for recovering the full trajectories from their corresponding coarse
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e0209428471a45e426a132de60e20a0c
https://doi.org/10.1016/j.anihpc.2018.05.004
https://doi.org/10.1016/j.anihpc.2018.05.004
Autor:
Edriss S. Titi, Cecilia F. Mondaini
Publikováno v:
SIAM Journal on Numerical Analysis. 56:78-110
We apply the postprocessing Galerkin method to a recently introduced continuous data assimilation (downscaling) algorithm for obtaining a numerical approximation of the solution of the two-dimensional Navier--Stokes equations corresponding to given m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25c1b4e6ec059aa81e069854a42ca05e
https://doi.org/10.1137/16m110962x
https://doi.org/10.1137/16m110962x
Publikováno v:
Journal of Differential Equations. 260:8428-8484
An abstract framework for the theory of statistical solutions is developed for general evolution equations, extending the theory initially developed for the three-dimensional incompressible Navier-Stokes equations. The motivation for this concept is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d21dc4b061a81421e6e0751617153ce
https://doi.org/10.1016/j.jde.2016.02.027
https://doi.org/10.1016/j.jde.2016.02.027
Publikováno v:
SIAM Journal on Applied Dynamical Systems, vol 15, iss 4
We adapt a previously introduced continuous in time data assimilation (downscaling) algorithm for the two-dimensional Navier--Stokes equations to the more realistic case when the measurements are obtained discretely in time and may be contaminated by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed543d36d30ab59a4a9b4b96e958ff55
https://escholarship.org/uc/item/3191m5pk
https://escholarship.org/uc/item/3191m5pk
Publikováno v:
BIOMAT 2013.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::645a40606143386f98909a58070cbd79
https://doi.org/10.1142/9789814602228_0012
https://doi.org/10.1142/9789814602228_0012