American Journal of Applied Mathematics

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Volume 5, Issue 2, April 2017

  • Isotropic Tensors Under Non-compact Rotation Groups

    Ansaruddin Syed

    Issue: Volume 5, Issue 2, April 2017
    Pages: 39-47
    Received: 21 October 2016
    Accepted: 21 November 2016
    Published: 27 May 2017
    DOI: 10.11648/j.ajam.20170502.11
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    Abstract: In the recent past, linearly independent isotropic tensors of rank up to 6, under the compact rotation groups SO(2), SO(3) and SO(4) have been studied in some detail. The present paper extends these studies to the case of linearly independent isotropic tensors under the non-compact rotation groups SO(1, 1), SO(1, 2), SO(1, 3) and SO(2, 2). This is ... Show More
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  • Numerical Integration Schemes for Unequal Data Spacing

    Md. Mamun-Ur-Rashid Khan, M. R. Hossain, Selina Parvin

    Issue: Volume 5, Issue 2, April 2017
    Pages: 48-56
    Received: 4 April 2017
    Accepted: 20 April 2017
    Published: 3 June 2017
    DOI: 10.11648/j.ajam.20170502.12
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    Abstract: In this Paper, we have derived the numerical integration formula for unequal data spacing. For doing so we use Newton’s Divided difference formula to evaluate general quadrature formula and then generate Trapezoidal and Simpson’s rules for the unequal data spacing with error terms. Finally we use numerical examples to compare the numerical results ... Show More
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