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31 - 37 of 37 search results for `Fredholm equation`

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  2. Paper2A.dvi

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2009_03.pdf
    30 Nov 2009: Spectra of highly oscillatory Fredholm integral operators 15. =. 1. 1Pm(x) cos ωxdx. ... Spectra of highly oscillatory Fredholm integral operators 29. 3.5 Large-n asymptotics.

  3. Soliton-mean field interaction in Korteweg-de Vriesdispersive…

    https://api.newton.ac.uk/website/v0/events/preprints/NI22009
    Equation (1.1) is presented in non-dimensional, scaled form with the. 2. ... TheKdV equation (1.1) admits soliton solutions whose width is proportional to ε.

  4. Convergence analysis of oversampled collocation boundary element…

    www.damtp.cam.ac.uk/user/gam37/preprints/preprint_oversampled_collocation_maierhoferhuybrechs.pdf
    1 May 2024: Numerical experiments are includedfor the two-dimensional Helmholtz equation. Keywords Fredholm Integral Equations Collocation Methods Least-squares oversampling Convergence Analysis. ... z is piecewise linear). We consider an integral equation onΓ of

  5. Soliton Gas: Theory, Numerics and Experiments Pierre Suret,1, ∗ ...

    https://api.newton.ac.uk/website/v0/events/preprints/NI22031
    1. Emergence of soliton gas in the long-time evolution ofa partially coherent wave ψ(x,t) in the focusing NLS equation(equation (6) with σ = 1). ... NLS equation (equation(6) with σ = 1).

  6. MATHEMATICAL TRIPOS Part II 2003 List of Courses Geometry ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2003/list_II.pdf
    17 Jun 2019: The evolution of its scale factor a(t) is governed bythe Friedmann equation. ... Part II 2003. 24. A2/17 Mathematical Methods. (i) Explain how to solve the Fredholm integral equation of the second kind,.

  7. MATHEMATICAL TRIPOS Part II 2002 List of Courses Geometry ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2002/list_II.pdf
    17 Jun 2019: Show that θ(ξ,t) satisfies thepartial differential equation. θξξ ξ. 2θξ = tθt. ... Hence show that equation () of Part (i) hasa similarity solution of the form.

  8. SOIL DYNAMICS Arnold Verruijt Delft University of Technology 1994, ...

    www-mdp.eng.cam.ac.uk/web/library/enginfo/textbooks_dvd_only/soilmechs/SoilDynamics.pdf
    5 Feb 2008: 21. 2. Waves in Piles. 24. 2.1 One-dimensional wave equation. 24. ... They are described by thehomogeneous equation. md2u. dt2+ c. du. dt+ ku = 0.

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