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Multiphysics modelling of immune processes using distributed parameter systems

期刊: RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2023; 38 (5)

The immune system is a complex distributed system consisting of cells, which circulate through the body, communicate and turnover in response to antig......

Non-local discretization of the isoneutral diffusion operator in a terrain-following climate ocean model

期刊: RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2023; 38 (6)

The present paper considers numerical properties of two different approaches to discretization of the isoneutral diffusion. The necessity of an altern......

Explaining breakthrough behaviour in shale rock: influence of capillary effects and geomechanics

期刊: RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2023; 38 (6)

Shale rock, being a common caprock for carbon dioxide reservoirs, is subject to extensive research. One of the topics is breakthrough phenomena during......

The group behaviour modelling of workers in the labor market

期刊: RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2023; 38 (4)

We describe the mathematical modelling of the group behaviour of workers in the labor market. The worker receives the salary and seeks to improve his ......

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 data

期刊: RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2023; 38 (1)

This work is devoted to the comparison of one- (1-D) and zero-dimensional (0-D) models of sea ice thermodynamics. 1-D thermodynamics solvers imply the......

Multicontinuum homogenization for Richards' equation: The derivation and numerical experiments

期刊: RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2023; 38 (4)

In the present paper, the authors rigorously derive Richards' multicontinuum model using the multicontinuum homogenization approach. This approach is ......

Stochastic simulation of a signal on a photodetector matrix of a laser navigation system

期刊: RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2023; 38 (1)

Algorithms for stochastic simulation of the signal arriving at the photodetector matrix of the aircraft navigation system are constructed. During the ......

Extracting connectivity paths in digital core images using solution of partial minimum eigenvalue problem

期刊: RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2023; 38 (6)

We show theoretically and numerically that the lowest non-trivial eigenvector function for a specific eigenproblem has almost constant values in high ......

Mesh-independent multidimensional coupling of surface and subsurface water flow models

期刊: RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2023; 38 (1)

We present a new approach for multidimensional surface-subsurface flow coupling. The method does not require mesh-to-canal refinement or alignment and......

Neural networks singular evolutive interpolated Kalman filter and its application to data assimilation for 2D water pollution model

期刊: RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2023; 38 (3)

The present study promotes a new algorithm for estimating the water pollution propagation with the primary goal of providing more reliable and high qu......

CarNum: parallel numerical framework for computational cardiac electromechanics

期刊: RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2023; 38 (3)

A new parallel numerical framework CarNum is presented for efficient coupling of mathematical models in multiphysics problems such as computational ca......

One-dimensional haemodynamic model of a vascular network with fractional-order viscoelasticity

期刊: RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2023; 38 (5)

We propose a computational framework for a one-dimensional haemodynamic model with the arterial walls described by the fractional-order viscoelastic m......

Growing axons: greedy learning of neural networks with application to function approximation

期刊: RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2023; 38 (1)

We propose a new method for learning deep neural network models, which is based on a greedy learning approach: we add one basis function at a time, an......

Computational methods for multiscale modelling of virus infection dynamics

期刊: RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2023; 38 (2)

Virus infection dynamics is governed by the processes on multiple scales: on the whole organism level, tissue level, and intracellular level. In this ......

Pressure-correction projection method for modelling the incompressible fluid flow in porous media

期刊: RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2023; 38 (4)

This work is dedicated to the pressure-correction projection method for the volume-averaged Navier-Stokes system for porous media. A set of parameters......

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