Russian Journal of Numerical Analysis and Mathematical Modelling

Papers
(The median citation count of Russian Journal of Numerical Analysis and Mathematical Modelling is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-04-01 to 2025-04-01.)
ArticleCitations
Contents11
Stability analysis of implicit semi-Lagrangian methods for numerical solution of non-hydrostatic atmospheric dynamics equations5
Influence of unbroken clouds stochastic structure on the solar radiation transfer with results of Monte Carlo simulation5
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Maximum cross section method in the filtering problem for continuous systems with Markovian switching4
Non-local discretization of the isoneutral diffusion operator in a terrain-following climate ocean model4
A diffusion–convection problem with a fractional derivative along the trajectory of motion4
The study of the local sensitivity of functionals of the optimal solution to observational data and the heat flux input data in a variational assimilation problem for the sea thermodynamics model3
Ensemble-based statistical verification of INM RAS Earth system model3
Numerical model of Earth ionosphere F region based on three-dimensional transport and ambipolar diffusion equations3
Growing axons: greedy learning of neural networks with application to function approximation3
SIMUG – finite element model of sea ice dynamics on triangular grid in local Cartesian basis3
Frontmatter3
Optimal stochastic forcings for sensitivity analysis of linear dynamical systems2
On numerical computation of sensitivity of response functions to system inputs in variational data assimilation problems2
Computation of periodic solutions to models of infectious disease dynamics and immune response2
Computation and analysis of optimal disturbances of stationary solutions of the hepatitis B dynamics model2
Frontmatter2
Particle tracking for face-based flux data on general polyhedral grids with applications to groundwater flow modelling2
Conservative second-order monotonic numerical method for solving two-dimensional continuity equation2
Stochastic perturbation of tendencies and parameters of parameterizations in the global ensemble prediction system based on the SL-AV model2
Connection between the existence of a priori estimate for a flux and the convergence of iterative methods for diffusion equation with highly varying coefficients2
On the multi-annual potential predictability of the Arctic Ocean climate state in the INM RAS climate model2
Frontmatter2
Estimation of the average particle flux in a stochastically homogeneous medium by Monte Carlo method1
A regularized isothermal phase-field model of two-phase solid–fluid mixture and its spatial dissipative discretization equations1
Two-scale haemodynamic modelling for patients with Fontan circulation1
Junction conditions for one-dimensional network hemodynamic model for total cavopulmonary connection using physically informed deep learning technique1
Evaluation of 2010 heatwave prediction skill by SLNE coupled model1
Stochastic simulation of a signal on a photodetector matrix of a laser navigation system1
Multicontinuum homogenization for Richards’ equation: The derivation and numerical experiments1
Frontmatter1
Simulation algorithms for stationary sequences with distributions in the form of a mixture of Gaussian distributions1
Numerical modelling of large elasto-plastic multi-material deformations on Eulerian grids1
Simulation of modern and future climate by INM-CM6M1
Personalized computational estimation of relative change in coronary blood flow after percutaneous coronary intervention in short-term and long-term perspectives1
Frontiers in mathematical modelling of the lipid metabolism under normal conditions and its alterations in heart diseases1
Constant upper bounds on the matrix exponential norm1
Linear regularized finite difference scheme for the quasilinear subdiffusion equation1
Difference schemes for second-order ordinary differential equations with corrector and predictor properties1
Patient specific numerical hemodynamics for postoperative risk assessment: series case study of EC-IC cerebral bypass1
Land surface scheme TerM: the model formulation, code architecture and applications1
Model reduction in Smoluchowski-type equations1
Discrete curvatures for planar curves based on Archimedes’ duality principle1
Stochastic simulation of exciton transport in semiconductor heterostructures0
Algorithms and methodological challenges in the development and application of quantitative systems pharmacology models: a case study in type 2 diabetes0
Numerical-statistical study of the prognostic efficiency of the SEIR model0
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Myocardial perfusion segmentation and partitioning methods in personalized models of coronary blood flow0
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Variational data assimilation for a sea dynamics model0
Comparison of nonlinear solvers within continuation method for steady-state variably saturated groundwater flow modelling0
Numerical stability analysis of incompressible boundary layers over ribbed surfaces0
Runge–Kutta discontinuous Galerkin method for Baer–Nunziato model with ‘simple WENO’ limiting of conservative variables0
The suite of Taylor–Galerkin class schemes for ice transport on sphere implemented by the INMOST package0
Numerical evaluation of the effectiveness of coronary revascularization0
Finite difference scheme for a non-linear subdiffusion problem with a fractional derivative along the trajectory of motion0
Monte Carlo simulation of polarized lidar returns for atmospheric clouds sensing0
Frontmatter0
New correlative randomized algorithms for statistical modelling of radiation transfer in stochastic medium0
Temporally and spatially segregated discretization for a coupled electromechanical myocardium model0
Hidden attractors and nonlocal oscillations in gene networks models0
Herd immunity levels and multi-strain influenza epidemics in Russia: a modelling study0
Constructing low-rank Tucker tensor approximations using generalized completion0
Application of minimum description length criterion to assess the complexity of models in mathematical immunology0
Computational framework for the Earth system modelling and the INM-CM6 climate model implemented on its base0
Frontmatter0
Refining uniform approximation algorithm for low-rank Chebyshev embeddings0
Stability analysis of functionals in variational data assimilation with respect to uncertainties of input data for a sea thermodynamics model0
Explaining breakthrough behaviour in shale rock: influence of capillary effects and geomechanics0
Towards realistic blood cell biomechanics in microvascular thrombosis simulations0
Pressure-correction projection method for modelling the incompressible fluid flow in porous media0
Optimal disturbances for periodic solutions of time-delay differential equations0
Sketching for a low-rank nonnegative matrix approximation: Numerical study0
The Editorial Board of the Journal with deep regret is announcing the death of Prof. Yuri Alekseevich KUZNETSOV aged 79, on January 30, 20240
Four-dimensional variational data assimilation system for the Earth ionosphere0
On the efficiency of using correlative randomized algorithms for solving problems of gamma radiation transfer in stochastic medium0
On a semi-explicit fourth-order vector compact scheme for the acoustic wave equation0
Mesh scheme for a phase transition problem with time-fractional derivative0
Preconditioners for large dense matrices in a low-rank format0
Frontmatter0
Operator-difference schemes on non-uniform grids for second-order evolutionary equations0
Planetary boundary layer scheme in the INMCM Earth system model0
Effect of electron temperature on formation of travelling waves in plasma: Kinetic and hydrodynamic models0
Simulating the propagation of boundary-layer disturbances by solving boundary-value and initial-value problems0
Chemistry module for the Earth system model0
Frontmatter0
ENSO phase locking, asymmetry and predictability in the INMCM Earth system model0
Corrigendum to: Temporally and spatially segregated discretization for a coupled electromechanical myocardium model0
Frontmatter0
Error identities for the reaction–convection–diffusion problem and applications to a posteriori error control0
INM-IM: INM RAS Earth ionosphere F region dynamical model0
Stochastic perturbations in the semi-Lagrangian advection algorithm of the SL-AV global atmosphere model0
High precision methods for solving a system of cold plasma equations taking into account electron–ion collisions0
Computational mimicking of surgical leaflet suturing for virtual aortic valve neocuspidization0
Computation and analysis of optimal disturbances of periodic solution of the hepatitis B dynamics model0
One-dimensional haemodynamic model of a vascular network with fractional-order viscoelasticity0
Analysis of the predictability of stratospheric variability and climate indices based on seasonal retrospective forecasts of the INM RAS climate model0
Frontmatter0
Glacier parameterization in SLAV numerical weather prediction model0
Dependence of optimal disturbances on periodic solution phases for time-delay systems0
A new tool for studying seasonality and spatio-temporal structure of ENSO cycles in data and ESM simulations0
Study of performance of low-rank nonnegative tensor factorization methods0
Mesh-independent multidimensional coupling of surface and subsurface water flow models0
Extracting connectivity paths in digital core images using solution of partial minimum eigenvalue problem0
Neural networks singular evolutive interpolated Kalman filter and its application to data assimilation for 2D water pollution model0
The group behaviour modelling of workers in the labor market0
Modelling of hydrogen-air supersonic mixing and combustion in near-wall region0
Numerical modelling of the transition of infected cells and virions between two lymph nodes in a stochastic model of HIV-1 infection0
The Burr distribution as an asymptotic law for extreme order statistics and its application to the analysis of statistical regularities in the interplanetary magnetic field0
Multiresolution approximation for shallow water equations using summation-by-parts finite differences0
Semi-Lagrangian approximations of the transfer operator in divergent form0
Statistical separation of mixtures in the problem of reconstructing the coefficients of an Itô stochastic process-type model of the interplanetary magnetic flux density: 0
A finite element scheme for the numerical solution of the Navier–Stokes/Biot coupled problem0
Frontmatter0
On a 1D-electrostatic test problem for the PIC method0
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An equilibrated a posteriori error estimator for an Interior Penalty Discontinuous Galerkin approximation of the p-Laplace problem0
Computational analysis of the impact of aortic bifurcation geometry to AAA haemodynamics0
CarNum: parallel numerical framework for computational cardiac electromechanics0
Numerical solution of optimal control problems for linear systems of ordinary differential equations0
Development of a numerical stochastic model of joint spatio-temporal fields of weather parameters for the south part of the Baikal natural territory0
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Validation of boundary conditions for coronary circulation model based on a lumped parameter approach0
Sensitivity of functionals of the solution to a variational data assimilation problem with heat flux reconstruction for the sea thermodynamics model0
Multi-physics approach to model the lymph transport in the murine immune system0
Frontmatter0
General finite-volume framework for saddle-point problems of various physics0
Construction and optimization of numerically-statistical projection algorithms for solving integral equations0
Computational methods for multiscale modelling of virus infection dynamics0
On the approximation of the diffusion operator in the ionosphere model with conserving the direction of geomagnetic field0
Frontmatter0
Nitrogen cycle module for INM RAS climate model0
Multiphysics modelling of immune processes using distributed parameter systems0
An implicit scheme for simulation of free surface non-Newtonian fluid flows on dynamically adapted grids0
Transfer matrices and solution of the problem of stochastic dynamics of aerosol clusters by Monte Carlo method0
The new sea ice thermodynamics code for the INM RAS Earth System model: The design and comparison of one- and zero-dimensional approaches with the observational data0
Mathematical modelling for spatial optimization of irradiation during proton radiotherapy with nanosensitizers0
Two-phase flow simulation algorithm for numerical estimation of relative phase permeability curves of porous materials0
Model reduction for Smoluchowski equations with particle transfer0
Predictability of the low-frequency modes of the Arctic Ocean heat content variability: a perfect model approach0
On the accuracy of shock-capturing schemes when calculating Cauchy problems with periodic discontinuous initial data0
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