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Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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On the initial-value problem of the Maxwell-Lorentz equations. [PDF]
We consider the Maxwell-Lorentz equations, i.e., the equation of motion of a charged dust coupled to Maxwell's equations, on an arbitrary general-relativistic spacetime.
Carr, Anthony, Perlick, Volker
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
José Meseguer 0001 +2 more
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Bethe equations `on the wrong side of the equator' [PDF]
We analyse the famous Baxter's $T-Q$ equations for $XXX$ ($XXZ$) spin chain and show that apart from its usual polynomial (trigonometric) solution, which provides the solution of Bethe-Ansatz equations, there exists also the second solution which should corresponds to Bethe-Ansatz beyond $N/2$.
Pron'ko, G. P., Stroganov, Yu. G.
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Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
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ON A FUNCTIONAL EQUATION [PDF]
We have recently discussed in (1) the general solution of a certain functional equation arising in statistical thermodynamics, and we propose in this note to deal with another functional equation arising from the same source(2).The problem is to obtain the most general function f(x) which, for all positive integral values of m, n, satifies the ...
Chaundy, T. W., McLeod, J. B.
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The SQG Equation as a Geodesic Equation [PDF]
We demonstrate that the surface quasi-geostrophic (SQG) equation given by $$θ_t + \left= 0,\;\;\; θ= \nabla \times (-Δ)^{-1/2} u,$$ is the geodesic equation on the group of volume-preserving diffeomorphisms of a Riemannian manifold $M$ in the right-invariant $\dot{H}^{-1/2}$ metric.
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Partially integrable nonlinear equations with one higher symmetry [PDF]
In this letter, we present a family of second order in time nonlinear partial differential equations, which have only one higher symmetry.
Mikhailov, AV +5 more
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Computational framework for the regularized 20-moment equations for non-equilibrium gas flows [PDF]
This paper presents a framework for solving the regularized 20-moment equations consisting of a set of transport-like governing equations, the required constitutive closure, re-casting of the equations in second-order partial derivative form and ...
Emerson, David +19 more
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A need in finding of new ways of energy saving at open switchgears of power plants is substantiated. In order to increase energy saving efficiency, an auxiliary breaker is suggested to be inserted between a transformer of a block and its two high-voltage
A. S. Barukin +3 more
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