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The Padé Interpolation Method Applied to Additive Difference Painlevé Equations [PDF]

Letters in Mathematical Physics, 2021
We study Padé interpolation problems on an additive grid, related to additive difference ($d$-) Painlevé equations of type $E_7^{(1)}$, $E_6^{(1)}$, $D_4^{(1)}$ and $A_3^{(1)}$. By choosing suitable Padé problems, we can derive time evolution equations, scalar Lax pairs of contiguous type and determinant formulae of special solutions given in terms of ...
Hidehito Nagao
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Behavior of Solution of Stochastic Difference Equation With Continuous Time Under Additive Fading Noise

Discrete and Continuous Dynamical Systems - Series B, 2022
Consider the following difference equation on \(\mathbb{R}^n\) with continuous time and under the influence of an additive stochastic perturbation: \[ \begin{multlined} x(t+\tau)=a_1(t,x(t),x(t-h_1),x(t-h_2),\dots)\\ +a_2(t,x(t),x(t-h_1),x(t-h_2),\dots)\xi(t+\tau) +b(t)\eta(t+\tau), \end{multlined} \] with \( t>t_0-\tau\) and \[ x(\theta)=\phi(\theta),\
Leonid Shaikhet
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On Convergence of Solutions to Difference Equations With Additive Perturbations [PDF]

Journal of Difference Equations and Applications, 2016
22 pages, 4 figures, to appear in Journal of Difference Equations and ...
Alexandra Rodkina, Elena Braverman
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Highly Efficient Difference Methods for Stochastic Space Fractional Wave Equation Driven by Additive and Multiplicative Noise

Applied Mathematics Letters, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhiyue Zhang, Jianqiang Xie
exaly   +2 more sources

Is the Non-Additive Kinetic Potential Always Equal to the Difference of Effective Potentials From Inverting the Kohn–Sham Equation?

Journal of Chemical Physics, 2022
The relation used frequently in the literature according to which the non-additive kinetic potential which is a functional depending on a pair of electron densities is equal (up to a constant) to the difference of two potentials obtained from inverting two Kohn–Sham equations, is examined.
Tomasz A Wesolowski
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Continuous Additive Functions and Difference Equations of Infinite Order

Analysis Mathematica, 1986
This article has been reviewed together with the preceding one.
Z Daróczy, I Kátai
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ON NEW ADDITIVE DIFFERENCE METHOD FOR PARABOLIC EQUATIONS

Mathematical Models and Methods in Applied Sciences, 1996
A new approach is suggested to the construction of conservative difference schemes for multidimensional second-order parabolic equations containing divergent first-order differential forms. These schemes hold the property of having fixed sign for non-negative solutions. The convergence of schemes is proved in the grid norm L2 at the rate O(τ + h2).
Karamzin, Yu. N., Zakharova, I. G.
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Stability of Stochastic Difference Equations With Multiplicative and Additive Fading Noise

Journal of Difference Equations and Applications
Peiguang Wang, Wenli Wang
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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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