Results 31 to 40 of about 419,229 (311)

On Airy Solutions of the Second Painleve Equation [PDF]

open access: yes, 2016
In this paper, we discuss Airy solutions of the second Painleve equation and two related equations, the Painleve XXXIV equation and the Jimbo-Miwa-Okamoto sigma form of second Painleve equation, are discussed.
Clarkson, Peter
core   +1 more source

Finite difference method application in design of foundation girder of variable cross-section loaded on ends [PDF]

open access: yesFacta Universitatis. Series: Architecture and Civil Engineering, 2008
Deflection of foundation girder supported by the deformable base has been defined by the system of differential equations, where the differential equation of the elastic line of the girder is of the fourth order.
Prolović Verka, Bonić Zoran
doaj   +1 more source

On A Matrix Hypergeometric Differential Equation

open access: yesمجلة العلوم البحتة والتطبيقية, 2021
In this paper we consider a matrix Hypergeometric differential equation, which are special matrix functions and solution of a specific second order linear differential equation.
Salah Hamd   +2 more
doaj   +1 more source

On tau functions for orthogonal polynomials and matrix models. [PDF]

open access: yes, 2010
Let v be a real polynomial of even degree, and let \rho be the equilibrium probability measure for v with support S; to that v(x) greeater than or equal to \int 2log |x-y| \rho (dy) +C for some constant C with equality on S.
Gordon Blower, Blower, Gordon
core   +1 more source

Some non-commuting solutions of the Yang-Baxter-like matrix equation

open access: yesOpen Mathematics, 2020
Let A be a square matrix satisfying A4=A{A}^{4}=A. We solve the Yang-Baxter-like matrix equation AXA=XAXAXA=XAX to find some solutions, based on analysis of the characteristic polynomial of A and its eigenvalues. We divide the problem into small cases so
Zhou Duan-Mei, Vu Hong-Quang
doaj   +1 more source

Matrix lattice Boltzmann reloaded [PDF]

open access: yes, 2011
The lattice Boltzmann equation has been introduced about twenty years ago as a new paradigm for computational fluid dynamics. In this paper, we revisit the main formulation of the lattice Boltzmann collision integral (matrix model) and introduce a new ...
Asinari, P.   +11 more
core   +1 more source

Spectral Forecast equation for matrices

open access: yes, 2022
A more complex example that uses the spectral forecast equation is related to matrices. A question that can be asked this time would be: given two matrices A and B, what would a third matrix (M) look like if it must resemble both A and B in a certain ...
Paul A. Gagniuc (1818325)
core   +1 more source

Matrix iteration algorithms for solving the generalized Lyapunov matrix equation

open access: yesAdvances in Difference Equations, 2021
In this paper, we first recall some well-known results on the solvability of the generalized Lyapunov equation and rewrite this equation into the generalized Stein equation by using Cayley transformation.
Juan Zhang, Huihui Kang, Shifeng Li
doaj   +1 more source

The Relationship Between Semiclassical Laguerre Polynomials and the Fourth Painlevé Equation [PDF]

open access: yes, 2013
We discuss the relationship between the recurrence coefficients of orthogonal polynomials with respect to a semiclassical Laguerre weight and classical solutions of the fourth Painlevé equation. We show that the coefficients in these recurrence relations
Clarkson, Peter   +3 more
core   +1 more source

On matrix equivalence and matrix equations

open access: yesLinear Algebra and its Applications, 1979
AbstractRoth's theorem on the solvability of matrix equations of the form AX−YB=C is proved for matrices with coefficients from a division ring or a ring which is module-finite over its center.
Gustafson, William H.   +1 more
openaire   +1 more source

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