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Inventi Impact: Computational Mathematics

Articles

  • Inventi:ecm/17470/15
    Numerical Solvability and Solution of an Inverse Problem Related to the Gibbs Phenomenon
    01-Jan-1970 Research 2015 : October - December
    Nassar H S Haidar

    We report on the inverse problem for the truncated Fourier series representation of f(x) ? BV(?l, l) in a form with a quadratic\ndegeneracy, revealing the existence of the Gibbs-Wilbraham phenomenon. A new distribution-theoretic proof is proposed for\nthis phenomenon. The paper studies moreover the iterative numerical solvability and solution of this inverse problem near\ndiscontinuities of f(x).

    How to Cite this Article
    CC Compliant Citation: Nassar H. S. Haidar, â??Numerical Solvability and Solution of an Inverse Problem Related to the Gibbs Phenomenon,â?\nInternational Journal of Computational Mathematics, vol. 2015, Article ID 212860, 13 pages, 2015. doi:10.1155/2015/212860, http://\ncreativecommons.org/licenses/by/3.0/.
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