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Numerical solutions of highly oscillatory integrals

Applied Mathematics and Computation, 2008
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Molabahrami, A., Khani, F.
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Oscillatory convection in a dilute3He-superfluid4He solution

Journal of Low Temperature Physics, 1985
Convective instabilities in a rectangular, unity-aspect-ratio Rayleigh-Benard cell with a solution of 1.46%3He in superfluid4He have been studied in the temperature range 0.70–1.05 K, with a corresponding Prandtl number range of 0 ...
Y. Maeno   +3 more
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Oscillatory solutions of the Falkner-Skan equation

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1985
The Falkner-Skan equation for similarity solutions of the Prandtl boundary-layer equations for incompressible flow is analysed for both positive and negative values of the parameterβ. Forβ< — 1 branches of solutions with any number of intervals of overshoot are found analytically, and confirm recent numerical results.
Hastings, S. P., Troy, W.
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Oscillatory solutions of the rate equations

Physics Letters A, 1968
Abstract It is shown that the rate equations for a system relaxing to black body radiation have no oscillatory solutions. A more convenient form of the equations for numerical calculation is given.
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On Connectedness: A Solution Based on Oscillatory Correlation

Neural Computation, 2000
A long-standing problem in neural computation has been the problem of connectedness, first identified by Minsky and Papert (1969). This problem served as the cornerstone for them to establish analytically that perceptrons are fundamentally limited in computing geometrical (topological) properties.
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Oscillatory Solutions of Boundary Value Problems

2016
We consider boundary value problems of the form $$\displaystyle\begin{array}{rcl} & x'' = f(t,x,x'), & {}\\ & x(a) = A,\quad x(b) = B,& {}\\ \end{array}$$ assuming that f is continuous together with f x and fx′. We study also equations in a quasi-linear form $$\displaystyle{x'' + p(t)x' + q(t)x = F(t,x,x').}$$ Introducing types of ...
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Oscillatory Normal Stresses in Dilute Polymer Solutions

The Journal of Chemical Physics, 1969
The Rouse–Zimm theories of polymer solution dynamics have been extended to include normal stresses as well as shear stresses and have been evaluated for low-amplitude oscillatory shear. Two normal stress coefficients (ζd, characterizing a displacement function, and ζ*, characterizing the oscillation about the displacement) appear as analogs to the ...
L. C. Akers, Michael C. Williams
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Non-Newtonian oscillatory layer flow, approximate solution

Collection of Czechoslovak Chemical Communications, 1979
The problem of the oscillatory flow of pseudoplastic liquid in vicinity of the infinitely long horizontal plane is formulated in stresses. For Re i.e. for conditions of oscillatory boundary layer the problem is solved approximately by the Galerkin method.
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Non-conservative oscillatory systems with periodic solutions

International Journal of Non-Linear Mechanics, 1981
Abstract This note extends the work of previous authors to the closed orbits of non-linear oscillatory systems. The simple phase plane analysis is used.
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Improved numerical solutions of nonlinear oscillatory systems

International Journal for Numerical Methods in Engineering, 2019
SUMMARYWe consider numerical solutions of nonlinear oscillatory systems where closed‐form solutions do not exist. Such systems occur in buckling of columns, electrical oscillations of circuits containing inductance with an iron core, and vibration of mechanical systems with nonlinear restoring forces. We have improved the accuracy, stability, and speed
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