14 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- National Research University Higher School of EconomicsRU4 papers
- Skolkovo Institute of Science and TechnologyRU2 papers
- Institute of Numerical MathematicsRU1 paper
- Institut national de recherche en sciences et technologies du numériqueFR1 paper
- Laboratoire Jean KuntzmannFR1 paper
- Russian Academy of SciencesRU1 paper
- Université Grenoble AlpesFR1 paper
8 papers
Additive Model Perturbations Scaled by Physical Tendencies for Use in Ensemble Prediction
Michael Tsyrulnikov, Elena Astakhova, Dmitry Gayfulin
Imperfections and uncertainties in forecast models are often represented in ensemble prediction systems by stochastic perturbations of model equations. In this article, we present…
Regularization of the ensemble Kalman filter using a non-parametric, non-stationary spatial model
Michael Tsyrulnikov, Arseniy Sotskiy
The sample covariance matrix of a random vector is a good estimate of the true covariance matrix if the sample size is much larger than the length of the vector. In high-dimensiona…
Discrete Transparent Boundary Conditions for the Equation of Rod Transverse Vibrations
Vladimir A. Gordin, Aleksandr A. Shemendyuk
Local perturbations of an infinitely long rod go away to infinity. On the contrary, in the case of a finite length of the rod, the perturbations reach its boundary and are reflecte…
Compact difference scheme for parabolic and Schrödinger-type equations with variable coefficients
Vladimir Gordin, Evgenii Tsymbalov
We develop a new compact scheme for second-order PDE (parabolic and Schrödinger type) with a variable time-independent coefficient. It has a higher order and smaller error than cla…
Compact difference schemes for weakly-nonlinear parabolic and Schrodinger-type equations and systems
Vladimir Gordin, Evgenii Tsymbalov
The implicit compact finite-difference scheme was developed for evolutionary partial differential parabolic and Schrödinger-type equations and systems with a weak nonlinearity. To…
Impact of non-stationarity on hybrid ensemble filters: A study with a doubly stochastic advection-diffusion-decay model
Michael Tsyrulnikov, Alexander Rakitko
Effects of non-stationarity on the performance of hybrid ensemble filters are studied (by hybrid filters we mean those which blend ensemble covariances with some other regularizing…
Variational Data Assimilation for Optimizing Boundary Conditions in Ocean Models
Christine Kazantsev, Eugene Kazantsev, Mikhail Tolstykh
The review describes the development of ideas Gury Ivanovich Marchuk in the field of variational data assimilation for ocean models applied in particular in coupled models for long…
A Hierarchical Bayes Ensemble Kalman Filter
Michael Tsyrulnikov, Alexander Rakitko
A new ensemble filter that allows for the uncertainty in the prior distribution is proposed and tested. The filter relies on the conditional Gaussian distribution of the state give…