Results 31 to 40 of about 419,229 (311)
On Airy Solutions of the Second Painleve Equation [PDF]
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
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Finite difference method application in design of foundation girder of variable cross-section loaded on ends [PDF]
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
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On A Matrix Hypergeometric Differential Equation
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
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On tau functions for orthogonal polynomials and matrix models. [PDF]
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
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Some non-commuting solutions of the Yang-Baxter-like matrix equation
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
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Matrix lattice Boltzmann reloaded [PDF]
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
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Spectral Forecast equation for matrices
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)
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Matrix iteration algorithms for solving the generalized Lyapunov matrix equation
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
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The Relationship Between Semiclassical Laguerre Polynomials and the Fourth Painlevé Equation [PDF]
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
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On matrix equivalence and matrix equations
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
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