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  • Perturbation methods in geophysics and oceanography

    Creator:
    Lu, Richard Shih-Ming
    Abstract:
    The perturbation method is applied to solve two numerical problems in the earth sciences, viz., (l)the computation of deep sea currents in the coastal region of the northeast Pacific and (2) the interpretation of D.C. conduction data in exploration geophysics. The perturbation method is largely equivalent to the method of...
    Resource Type:
    Dissertation
    Full Text:
    : PERTURBATION METHODS IN GEOPHYSICS AND OCEANOGRA PH Abstract approved: The perturbation method is applied to

  • First order differential corrections in the eigenvalue problem

    Creator:
    Akers, David Warren
    Abstract:
    Let A be an n x n real, symmetric matrix with distinct characteristic values λ₁, λ₂,...,λɴ. Then there exists an orthogonal matrix P such that PAPᵀ = Λ = (λi). Given a small symmetric change, ∆A, in the matrix A, we can calculate the resulting changes, ∆P, and ∆Λ, in...
    Resource Type:
    Masters Thesis

  • PERT-IV, a two-dimensional perturbation theory code for fast reactors

    Creator:
    Hardie, Ralph Wayne
    Abstract:
    A two-dimensional perturbation theory computer code, PERT-IV, has been developed that will calculate reactivity coefficients, the delayed neutron fraction, and the neutron generation time. The program uses the output flux and adjoint flux from either a diffusion theory or transport theory program. A discussion and derivation of the perturbation equation...
    Resource Type:
    Masters Thesis
    Full Text:
    -Dimensional Perturbation Theory Code for Fast Reactors Redacted for Privacy Abstract approved: Dr. Alan H

  • On perturbation and location of roots of polynomials by Newton's interpolation formula

    Creator:
    Park, Young Kou
    Resource Type:
    Dissertation

  • Robustness estimation via integral liapunov functions

    Creator:
    Alam, Arshad
    Abstract:
    An investigation focusing on methods of estimation of robustness of nominally linear dynamic systems with unstructured uncertainties was performed. The algorithm proposed involves the consideration of an associated system, selection, and subsequent development, of Liapunov function candidate and integration of their derivatives along the solution trajectory. A nominally linear multi-dimensional...
    Resource Type:
    Masters Thesis
    Full Text:
    , unstructured perturbation. We describe the system as * = Attx + e where x E Rn and e = e(t,x) , e(t,0) = 0

  • Robustness of uncertain systems : globally optimal Lyapunov function

    Creator:
    Ahmadkhanlou, Fariborz
    Abstract:
    The Lyapunov direct method is utilized to determine the robustness bounds for nonlinear, time-variant uncertainies p[subscript i]. Determination of the robustness bounds consists of two principal steps: (i) generation of a Lyapunov function and (ii) determination of the bounds based on the generated Lyapunov function. Presently in robustness investigations, a...
    Resource Type:
    Dissertation
    Full Text:
    modeled as perturbation elements. The perturbation elements can exist in form of structured or