A5059221923- Arctic and Antarctic ice dynamics
- Aquatic and Environmental Studies
- Oceanographic and Atmospheric Processes
- Numerical methods in inverse problems
- Advanced Mathematical Modeling in Engineering
- Geophysics and Gravity Measurements
- Advanced Numerical Methods in Computational Mathematics
- Differential Equations and Boundary Problems
- Meteorological Phenomena and Simulations
- Differential Equations and Numerical Methods
- Marine and environmental studies
- Geological Studies and Exploration
- Marriage and Sexual Relationships
- Climate variability and models
- Heat Transfer and Mathematical Modeling
- Material Science and Thermodynamics
- Stability and Controllability of Differential Equations
- Reservoir Engineering and Simulation Methods
- Oil Spill Detection and Mitigation
- Underwater Acoustics Research
- Numerical methods for differential equations
- Aerospace Engineering and Control Systems
- Geotechnical and Geomechanical Engineering
- Mathematical Biology Tumor Growth
- Computational Fluid Dynamics and Aerodynamics
Walter de Gruyter (Germany)
2015-2024
Russian Academy of Sciences
2014-2023
Institute of Numerical Mathematics
2014-2023
Lomonosov Moscow State University
2017-2023
Japan Science and Technology Agency
2019-2021
Moscow State University
2021
Moscow Institute of Physics and Technology
2007-2017
University of Houston
2012-2013
École Normale Supérieure Paris-Saclay
2000
Center for Advanced Studies Research and Development in Sardinia
1994
The problem of mathematical modelling the baroclinic dynamics World Ocean and its large areas is considered. model has been developed at Institute Numerical Mathematics RAS (INMRAS) based on equations general circulation represented in generalized σ-system coordinates with a free surface hydrostatics Boussinesq approximation. computational solution technique for this multicomponent splitting flexible, hierarchically scalable modular structure. main 'cycle' decomposition complicated system...
In this paper we present a new approach in the study of aorto-coronaric bypass anastomoses configurations based on small perturbation theory. The theory optimal control adjoint formulation is applied order to optimize shape zone incoming branch (the toe) into coronary. aim provide design indications perspective future development for prosthetic bypasses.
The use of Four-Dimensional variational (4D-Var) data assimilation technology in the context sea dynamics problems, with a sensitivity analysis model results to observation errors, is presented. applied numerical ocean circulation developed at Marchuk Institute Numerical Mathematics, Russian Academy Sciences (INM RAS), splitting method and complemented by 4D-Var covariance matrices background errors. involves iterative procedures solve inverse problems so as correct surface heat fluxes for...
A new ocean hydrothermodynamics model is developed. The problem of variational assimilation sea level function data formulated and investigated. results numerical experiments are given.
Abstract A mathematical model of the dynamics Baltic Sea is considered. problem variational assimilation sea surface temperature (SST) data formulated and studied. Based on satellite observation data, an algorithm solving inverse heat flux restoration interface two media proposed. The results numerical experiments reconstructing functions in SST are presented. influence other hydrodynamic parameters
Experimental and observation data obtained from various sources are used in studying solving many problems of geophysical hydrodynamics. A method for interpolation on regular grids is presented the paper. The takes into account transport by currents allows one to improve accuracy these fields introducing 'pseudo observations'.
Methods and technology have been developed to solve a wide range of problems in the dynamics sea currents assess their “impact” on objects marine environment. Technology can be used for monitoring forecasting currents, solving minimizing risks analyzing disasters associated with choice optimal course ship, assessing pollution coastal zones, etc. The includes numerical model circulation improved resolution method inverse problem contamination passive impurity, variational algorithm...
The inverse problem of the mathematical theory tides is considered, i.e., a functions defining boundary values on liquid parts boundary. A closure equation based observation data function sea level (free surface elevation) part existence and uniqueness solution investigated. We formulate an iteration algorithm for solving studied.
In this paper we consider two nonstationary heat convection–diffusion models. The first model describes processes in the 'surface' ocean layer. second one is a 3D and propagation whole ocean. We pose identification problems for models propose methods solving posed. case of 2D model, its solution are theoretically justified.
Abstract Some inverse problems related to mathematical modelling of hydrophysical fields in water areas (seas and oceans) under the presence ‘liquid’ (open) boundaries are studied solved numerically paper. Numerical solution algorithms for these based on procedures variational data assimilation.
Abstract The mathematical model of the Baltic Sea dynamics developed at Institute Numerical Mathematics RAS is considered. problem variational assimilation average daily data for sea surface temperature (SST) formulated and studied with use covariance matrices observation errors. Based on satellite data, we propose an algorithm solving inverse heat flux reconstruction surface. results numerical experiments function are presented SST data.
The technology is presented for modeling and prediction of marine hydrophysical fields based on the 4D variational data assimilation technique developed at Marchuk Institute Numerical Mathematics, Russian Academy Sciences (INM RAS). solving equations hydrodynamics using multicomponent splitting, thereby an optimality system that includes adjoint covariance matrices observation errors. hydrodynamic model described by primitive in sigma-coordinate system, which solved finite-difference...
In this paper we consider two nonstationary heat convection–diffusion models. The first model describes processes in the 'surface' ocean layer. second one is a 3D and propagation whole ocean. We pose identification problems for models propose methods solving posed. case of 2D model, its solution are theoretically justified.