Results 31 to 40 of about 175 (58)
Structure Preserving Discretizations of the Liouville Equation and their Numerical Tests [PDF]
, 2015 The main purpose of this article is to show how symmetry structures in partial differential equations can be preserved in a discrete world and reflected in difference schemes. Three different structure preserving discretizations of the Liouville equation
Levi, Decio +2 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we investigate multiplicity, existence, and nonexistence of periodic solutions to a fourth‐order partial difference equation via linking theorem and saddle point theorem. Our obtained results significantly generalize and improve some existing ones.
Dan Li, Yuhua Long, Ji Gao
wiley +1 more source
Characteristics of Conservation Laws for Difference Equations [PDF]
, 2013 Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic. This function is used to find conservation laws, to prove equivalence between conservation laws, and to prove the ...
A. Mikhailov +23 more
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Veterinary Dermatology, Volume 35, Issue 6, Page 652-661, December 2024.Background – Mycophenolate is an immunomodulating agent successfully used for the treatment of moderate‐to‐severe atopic dermatitis (AD) in people. Mycophenolate is an effective steroid‐sparing treatment option for use in dogs with inflammatory skin diseases.
Michael Klotsman +5 more
wiley +1 more source
Note on the binomial partial difference equation [PDF]
, 2015 Some formulas for the "general solution" to the binomial partial difference equation $$c_{m,n}=c_{m-1,n}+c_{m-1,n-1},$$ are known in the literature. However, it seems that there is no such a formula on the most natural domain connected to the equation ...
Stevic, Stevo
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Diffraction on the Two-Dimensional Square Lattice [PDF]
, 2009 We solve the thin-slit diffraction problem for two-dimensional lattice waves. More precisely, for the discrete Helmholtz equation on the semi-infinite square lattice with data prescribed on the left boundary (the aperture), we use lattice Green's ...
Bhat, H. S., Osting, Braxton
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Discrete integrable systems generated by Hermite-Pad\'e approximants
, 2015 We consider Hermite-Pad\'e approximants in the framework of discrete integrable systems defined on the lattice $\mathbb{Z}^2$. We show that the concept of multiple orthogonality is intimately related to the Lax representations for the entries of the ...
Aptekarev, Alexander I. +2 more
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Deriving conservation laws for ABS lattice equations from Lax pairs
, 2012 In the paper we derive infinitely many conservation laws for the ABS lattice equations from their Lax pairs. These conservation laws can algebraically be expressed by means of some known polynomials.
Cheng, Jun-wei +2 more
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A superintegrable discrete oscillator and two-variable Meixner polynomials
, 2015 A superintegrable, discrete model of the quantum isotropic oscillator in two-dimensions is introduced. The system is defined on the regular, infinite-dimensional $\mathbb{N}\times \mathbb{N}$ lattice.
Gaboriaud, Julien +3 more
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A varA variational principle for discrete integrable systemsiational principle for discrete integrable systems [PDF]
, 2018 For integrable systems in the sense of multidimensional consistency (MDC) we can consider the Lagrangian as a form, which is closed on solutions of the equations of motion.
Lobb, SB, Nijhoff, FW
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