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Lyapunov Stability Analysis for Systems of Nonlinear Ordinary Differential Equations Based on Additive Transformations of the Finite Difference Formula

Sergei Bulanov
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Controlling chimera and solitary states by additive noise in networks of chaotic maps

Journal of difference equations and applications (Print), 2022
We study numerically the spatio-temporal dynamics of ring networks of coupled discrete-time systems in the presence of additive noise. The robustness of chimera states with respect to noise perturbations is explored for two ensembles in which the ...
E. Rybalova, E. Schöll, G. Strelkova
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A property-dependent Perfectly Matched Layer with a single additional layer for Maxwell’s equations in finite difference frequency domains

Computer Methods in Applied Mechanics and Engineering, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dongqi Ji, Qi Wang, Zhangxing Chen, Thomas Grant Harding, Mingzhe Dong, Chenqi Ge, Zhiping Li, Fengpeng Lai   +7 more
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Equation of State for Monolayers with Additional Phase Transition between Condensed Phases of Different Compressibility

The Journal of Physical Chemistry B, 2009
An improved model for the equation of state for Langmuir monolayers proposed in J. Phys. Chem. B 1999, 103, 145 is introduced for the case where two or more phase transitions occur in the monolayer. The model allows the theoretical description of the phase transition between the two condensed phases under the realistic precondition that the phase ...
Fainerman, V., Vollhardt, D.
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Response of stochastic dynamical systems driven by additive Gaussian and Poisson white noise: Solution of a forward generalized Kolmogorov equation by a spectral finite difference method

Computer Methods in Applied Mechanics and Engineering, 1999
The authors consider a stochastic differential equation which describes a class of time-independent discrete dynamical systems driven by additive linear combinations of Gaussian and Poisson white noises. The aim is to construct a finite difference scheme for solving the corresponding Fokker-Planck equation. To this end, one looks for numerical solution
Steven F. Wojtkiewicz, E. A. Johnson, Lawrence A. Bergman, Mircea Grigoriu, Billie F. Spencer   +4 more
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A unified constitutive approach for creep response of AISI 316 steel produced by conventional technologies or additive manufacturing techniques

Materials at High Temperature, 2022
The creep response of AISI 316 and AISI 316 L was analysed to provide a coherent picture of the material behaviour, valid for both conventional wrought and additively manufactured steels. Literature evidences were considered.
S. Spigarelli
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Parallel Additive Schwarz Preconditioner for a Discrete Nonlinear Plate Vibration Problem Using a θ‐Scheme in Time and Finite Difference in Space

Mathematical methods in the applied sciences
In this paper, we propose a numerical scheme for solving the two‐dimensional fourth‐order partial differential equation (PDE) with variable coefficients, governing the transverse vibrations of a simply supported thin plate. By introducing a new variable,
Y. Khali, S. Khallouq, N. Nagid
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The Analysis of the Systems Stability of Linear Differential Equations Based on the Transformation of Difference Schemes

Mekhatronika Avtomatizatsiya Upravlenie, 2019
The approach to the analysis of Lyapunov systems stability of linear ordinary differential equations based on multiplicative transformations of difference schemes of numerical integration is presented.
S. Bulanov
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Fuzzy stability results of additive functional equation in different approaches

2020
In this paper, we investigate some stability results of the following finite dimensional additive functional equation f Xn i=1 kxi ! + Xn j=1 f  −kxj + Xn i=1;i6=j kxi   = (n − 1) "Xn i=1 (2i − 1)f(xi) # where n is the positive integer with N − {0, 1, 2} and k is the only odd positive integers, in Fuzzy Normed space using direct and fixed point ...
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Comparison of additional second-order terms in finite-difference Euler equations and regularized fluid dynamics equations

Computational Mathematics and Mathematical Physics, 2017
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