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Inventi Impact: Engineering Mathematics

Articles

  • Inventi:eem/30317/19
    Consistency and Stability Issues in the Numerical Integration of the First and Second Order Initial Value Problem
    Research 2020 : January - March
    Isaac Fried

    In this note we consider some basic, yet unusual, issues pertaining to the accuracy\nand stability of numerical integration methods to follow the solution\nof first order and second order initial value problems (IVP). Included are remarks\non multiple solutions, multi-step methods, effect of initial value perturbations,\nas well as slowing and advancing the computed motion in second\norder problems.

    How to Cite this Article
    Attribution/ CC Compliant Citation: Fried, I. (2019) Consistency and Stability Issues in the Numerical Integration of the First and\nSecond Order Initial Value Problem. Applied Mathematics, 10, 676-690.\nhttps://doi.org/10.4236/am.2019.108048\nhttp://creativecommons.org/licenses/by/4.0/\n\nSome formatting elements, header, footer, logos, dates and pagination were modified while adapting this article.
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