Search Results - "OCKENDON, JOHN R."

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  1. 1

    ASYMPTOTIC ANALYSIS OF A SYSTEM OF ALGEBRAIC EQUATIONS ARISING IN DISLOCATION THEORY by HALL, CAMERON L., CHAPMAN, S. JONATHAN, OCKENDON, JOHN R.

    Published in SIAM journal on applied mathematics (01-01-2010)
    “…The system of algebraic equations given by $\sum\nolimits_{j = 0,j \ne i}^n {\frac{{\operatorname{sgn} ({x_i} - {x_j})}}{{{\left| {{x_i} - {x_j}} \right|}^a}}}…”
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  2. 2

    WAVE PROPAGATION ALONG PERIODIC LAYERS by FARMER, CHRIS L., OCKENDON, HILARY, OCKENDON, JOHN R.

    Published in SIAM journal on applied mathematics (01-01-2018)
    “…Solutions for waves traveling transversely in a layered medium satisfy an exact recurrence relation when the transit time across each of the layers is the…”
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  3. 3

    Contour integral solutions of the parabolic wave equation by Hewett, David P, Ockendon, John R, Smyshlyaev, Valery P

    Published 06-06-2018
    “…We present a simple systematic construction and analysis of solutions of the two-dimensional parabolic wave equation that exhibit far-field localisation near a…”
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  4. 4

    Interactions of point vortices in the Zabusky-McWilliams model with a background flow by Connaughton, Colm, Ockendon, John R

    Published 19-06-2011
    “…We combine a simple quasi-geostrophic flow model with the Zabusky-McWilliams theory of atmospheric vortex dynamics to address a hurricane-tracking problem of…”
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  5. 5

    Representation of solutions of linear PDE's with constant coefficients as superpositions of solutions in lower dimensions by Zarmi, John R. Ockendon Yair

    Published 21-08-2003
    “…A unified approach to the representation of solutions of linear PDE's with constant coefficients in high dimensions in terms of solutions of the same PDE's in…”
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