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Filtering by: Creator Koo, Dal-Hoe Remove constraint Creator: Koo, Dal-Hoe Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics

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  • The homology of de Rahm currents

    Creator:
    Lekhyananda, Suravate
    Abstract:
    This paper has two objectives. Firstly, we present the homological properties as defined by de Rham using a notion of current. We show this with the aid of the Eilenberg and Steenrod Axioms. The cohomology is defined in the usual fashion from algebraic topology. The second goal is the relationship...
    Resource Type:
    Masters Thesis
    Full Text:
    A dzi = - del A dal for i j where the basis elements of a* are 1 , , dal A dzi , dr` A del A dek

  • Numerical inversion of laplace transforms by the trapezoidal-type methods

    Creator:
    Lin, FuSen F.
    Abstract:
    In this dissertation, we investigate three numerical methods for inverting the Laplace transform. These methods are all based on the trapezoidal-type approximations to the Bromwich integral. The first method is the direct integration method: It is a straightforward application of the trapezoidal rule to the Bromwich integral, followed by convergence...
    Resource Type:
    Dissertation
    Full Text:
    for a periodic and analytic function, the error of the trapezoi-dal-type rules are of exponential