The numerical computation of connecting orbits in dynamical systems [PDF]
Beyn W-J. The numerical computation of connecting orbits in dynamical systems. IMA Journal of Numerical Analysis. 1990;10(3):379-405.Structural changes in dynamical systems are often related to the appearance or disappearance of orbits connecting two ...
Beyn, Wolf-Jürgen
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Analytical and Numerical Solutions for a Kind of High-Dimensional Fractional Order Equation [PDF]
In this paper, a (4+1)-dimensional nonlinear integrable Fokas equation is studied. It is rarely studied because the order of the highest-order derivative term of this equation is higher than the common generalized (4+1)-dimensional Fokas equation ...
Ning Zhang, Cun-Juan Hou, Chang-Na Lu
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Consideration of damping in a continuous medium using the rod approximation by A.R. Rzhanitsyn
The work is focused on creating a method for accounting of internal friction, which provides frequency independence, considers the dependence of internal friction on the level of the stress state, and is suitable for physically nonlinear tasks at large ...
Vladimir B. Zylev, Pavel O. Platnov
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Collocation schemes for periodic solutions of neutral delay differential equations [PDF]
We introduce two collocation schemes for the computation of periodic solutions of neutral delay differential equations (NDDEs): one based on a direct discretisation of the underlying NDDE, and one based on a discretisation of a related delay differential
Wilson, RE +8 more
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We measure transient deformation at Coso geothermal field using interferometric synthetic aperture radar (InSAR) data acquired between 2004 and 2016 and relative positions estimated from global positioning system (GPS) to quantify relationships between ...
Elena C. Reinisch +4 more
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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 Mixed Convection Squeezing Flow of Nanofluids
In this article, the impact of effective Prandtl number model on 3D incompressible flow in a rotating channel is proposed under the influence of mixed convection.
Sheikh Irfan Ullah Khan +4 more
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Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations [PDF]
A discrete stochastic Razumikhin-type theorem is established to investigate whether the Euler--Maruyama (EM) scheme can reproduce the moment exponential stability of exact solutions of stochastic functional differential equations (SFDEs).
Wu, Fuke +2 more
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Numerical Methods for Ill-Posed, Linear Problems [PDF]
A means of assessing the effectiveness of methods used in the numerical solution of various linear ill-posed problems is outlined. Two methods: Tikhonov' s method of regularization and the quasireversibility method of Lattès and Lions are appraised from ...
Stevens, Thomas
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Numerical simulation of a linear stochastic oscillator with additive noise [PDF]
The ability of numerical methods to reproduce long-time features of a linear stochastic oscillator is examined. It is shown that certain, widely-used, methods fail to capture the correct second moment growth rate, whereas a customized extension of the ...
Strømmen Melbø, A.H., Higham, D.J.
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